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@article{JMS22,
title={Input-to-state stability for infinite-dimensional systems},
author={Jacob, Birgit and Mironchenko, Andrii and Schwenninger, Felix},
journal={Mathematics of Control, Signals, and Systems},
volume={34},
number={1},
pages={215--216},
year={2022},
publisher={Springer}
}
@Article{MiS23,
author = {Andrii Mironchenko and Felix Schwenninger},
journal = {Submitted to Mathematics of Control, Signals, and Systems},
title = {Coercive quadratic converse {ISS} {L}yapunov theorems for linear analytic systems},
year = {2023}
}
@INPROCEEDINGS{MiS23b,
author = {Andrii Mironchenko and Felix Schwenninger},
title = {Coercive quadratic {ISS} {L}yapunov functions for analytic systems},
booktitle = {Submitted to 62nd IEEE Conference on Decision and Control},
year = {2023}
}
@INPROCEEDINGS{Mir23c,
author = {Andrii Mironchenko},
title = {Live systems of varying dimension: modeling and stability},
booktitle = {Submitted to 62nd IEEE Conference on Decision and Control},
year = {2023}
}
@Article{KMM23,
author = {Alexander Kilian and Andrii Mironchenko and Bernhard Maschke and Fabian Wirth},
journal = {Submitted to SIAM Journal on Control and Optimization},
title = {Infinite-dimensional port-{H}amiltonian systems with a stationary interface},
note = {arXiv:2301.08967},
citeulike-linkout-0 = {http://arxiv.org/abs/2301.08967},
year = {2023}
}
@article{KMM23b,
author = {Alexander Kilian and Andrii Mironchenko and Bernhard Maschke and Fabian Wirth},
title = {A case study of port-{H}amiltonian systems with a moving interface},
booktitle = {Accepted to IEEE Control Systems Letters},
citeulike-linkout-0 = {http://arxiv.org/abs/2302.03344},
year = {2023}
}
@book{Mir23,
title={Input-to-State Stability},
author={Andrii Mironchenko},
publisher={Springer},
citeulike-linkout-1 = {http://link.springer.com/book/9783031146732},
year={2023}
}
@article{Mir22b,
title={Lyapunov criteria for robust forward completeness of distributed parameter systems},
author={Andrii Mironchenko},
journal={Submitted},
citeulike-linkout-0 = {http://arxiv.org/abs/2208.01419},
year={2022}
}
@article{Mir22c,
title={Well-posedness and properties of the flow for semilinear boundary control systems},
author={Andrii Mironchenko},
journal={Submitted},
citeulike-linkout-0 = {http://arxiv.org/abs/2211.00433},
year={2022}
}
@article{NMW22,
author={Navid Noroozi and Andrii Mironchenko and Fabian Wirth},
title = {A relaxed small-gain theorem for discrete-time infinite networks},
journal = {Automatica},
volume = {142},
pages = {110363},
citeulike-linkout-0 = {http://arxiv.org/abs/2011.10876},
citeulike-linkout-1 = {http://doi.org/10.1016/j.automatica.2022.110363},
year = {2022}
}
@INPROCEEDINGS{GlM22,
author = {Gl\"uck, Jochen and Mironchenko, Andrii},
title = {Revisiting stability of positive linear discrete-time systems},
booktitle = {Proc. of 25th International Symposium on Mathematical Theory of Networks and Systems},
year = {2022},
pages={126--131},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/GlM22.pdf}
}
@ARTICLE{GlM21,
author = {Gl\"uck, Jochen and Mironchenko, Andrii},
title = {Stability criteria for positive linear discrete-time systems},
journal = {Positivity},
volume={25},
number={5},
pages={2029--2059},
year = {2021},
citeulike-linkout-0 = {http://arxiv.org/abs/2011.02251},
citeulike-linkout-1 = {http://doi.org/10.1007/s11117-021-00853-2}
}
@ARTICLE{Mir21,
author = {Mironchenko, Andrii},
title = {Non-uniform {ISS} small-gain theorem for infinite networks},
journal={{IMA} Journal of Mathematical Control and Information},
volume={38},
number={4},
pages={1029--1045},
citeulike-linkout-0 = {http://arxiv.org/abs/2007.07848},
citeulike-linkout-1 = {http://doi.org/10.1093/imamci/dnab026},
year = {2021}
}
@ARTICLE{MKG21,
author = {Mironchenko, Andrii and Kawan, Christoph and Gl\"uck, Jochen},
title = {Nonlinear small-gain theorems for input-to-state stability of infinite interconnections},
journal = {Mathematics of Control, Signals, and Systems},
citeulike-linkout-0 = {http://arxiv.org/abs/2007.05705},
citeulike-linkout-1 = {http://doi.org/10.1007/s00498-021-00303-0},
volume = {33},
pages = {573--615},
year = {2021}
}
@article{JMP20,
title={Noncoercive {L}yapunov functions for input-to-state stability of infinite-dimensional systems},
author={Jacob, Birgit and Mironchenko, Andrii and Partington, Jonathan R and Wirth, Fabian},
journal={SIAM Journal on Control and Optimization},
volume={58},
number={5},
pages={2952--2978},
year={2020},
citeulike-linkout-0 = {http://arxiv.org/abs/1911.01327},
citeulike-linkout-1 = {http://arxiv.org/abs/1911.01327},
publisher={SIAM}
}
@ARTICLE{DGK11,
author = {Dashkovskiy, Sergey and G\"{o}rges, Michael and Kosmykov, Michael
and Mironchenko, Andrii and Naujok, Lars},
title = {Modeling and stability analysis of autonomously controlled production
networks},
journal = {Logistics Research},
year = {2011},
volume = {3},
pages = {145--157},
number = {2},
abstract = {{We present methods and tools for modeling autonomously controlled
production networks and investigation of their stability properties.
Production networks are described as interconnected dynamical systems
of two types: systems of ordinary differential equations and time-delay
systems. In particular with the help of time-delays, we incorporate
transportation times and implement an autonomous control method,
namely the queue length estimator. By stability, we mean roughly
speaking, boundedness of the state of a system (e.g., the inventory
level or the work in progress) over the time under bounded external
inputs. In our stability analysis, we consider the case, when all
the subsystems describing logistics locations are stable. We derive
sufficient conditions that guarantee stability of the network. To
this end, we utilize Lyapunov functions and a small gain condition.}},
citeulike-article-id = {11223883},
citeulike-linkout-0 = {http://dx.doi.org/10.1007/s12159-011-0049-6},
citeulike-linkout-1 = {http://link.springer.com/article/10.1007/s12159-011-0049-6},
keywords = {logistics, production\_networks, small-gain\_theorems, stability},
posted-at = {2012-09-11 15:05:51},
priority = {0},
publisher = {Springer Berlin / Heidelberg},
}
@INPROCEEDINGS{DKK10,
author = {Dashkovskiy, S. and Karimi, H. R. and Kosmykov, M. and Mironchenko,
A. and Naujok, L.},
title = {Application of the {LISS} {L}yapunov-{K}rasovskii small-gain theorem to
autonomously controlled production networks with time-delays},
booktitle = {Proc. of 10th Conference on Control and Fault-Tolerant Systems},
year = {2010},
pages = {765--770},
publisher = {Citeseer},
citeulike-article-id = {11219552},
keywords = {iss, liss, lyapunov-krasovskii, production\_networks, small-gain\_theorems,
time-delay},
posted-at = {2012-09-10 19:41:27},
priority = {2}
}
@ARTICLE{DKM12,
author = {Dashkovskiy, Sergey and Kosmykov, Michael and Mironchenko, Andrii
and Naujok, Lars},
title = {Stability of interconnected impulsive systems with and without time
delays, using {L}yapunov methods},
journal = {Nonlinear Analysis: Hybrid Systems},
year = {2012},
volume = {6},
pages = {899--915},
number = {3},
abstract = {{In this paper, we consider the input-to-state stability (ISS) of
impulsive control systems with and without time delays. We prove
that, if the time-delay system possesses an exponential Lyapunov–Razumikhin
function or an exponential Lyapunov–Krasovskii functional, then
the system is uniformly ISS provided that the average dwell-time
condition is satisfied. Then, we consider large-scale networks of
impulsive systems with and without time delays and prove that the
whole network is uniformly ISS under the small-gain and the average
dwell-time condition. Moreover, these theorems provide us with tools
to construct a Lyapunov function (for time-delay systems, a Lyapunov–Krasovskii
functional or a Lyapunov–Razumikhin function) and the corresponding
gains of the whole system, using the Lyapunov functions of the subsystems
and the internal gains, which are linear and satisfy the small-gain
condition. We illustrate the application of the main results on examples.}},
citeulike-article-id = {11223413},
citeulike-linkout-0 = {http://arxiv.org/abs/1011.2865},
citeulike-linkout-1 = {http://dx.doi.org/10.1016/j.nahs.2012.02.001},
issn = {1751570X},
keywords = {dwell-time, impulsive\_systems, lyapunov-krasovskii, lyapunov\_razumikhin,
small-gain\_theorems, time-delay},
posted-at = {2012-09-11 11:50:20},
priority = {0},
}
@ARTICLE{DKK10b,
author = {Dashkovskiy, S. and Kreowski, H. J. and Kuske, S. and Mironchenko,
A. and Naujok, L. and Von Totth, C.},
title = {Production networks as communities of autonomous units and their stability},
journal = {International Electronic Journal of Pure and Applied Mathematics
(IEJPAM)},
year = {2010},
volume = {2},
pages = {17--42},
number = {1},
citeulike-article-id = {11223876},
keywords = {autonomous\_units, production\_networks, stability}
}
@INPROCEEDINGS{DKK10c,
author = {Dashkovskiy, S. and Kreowski, H. J. and Kuske, S. and Mironchenko,
A. and Naujok, L. and Von Totth, C.},
title = {Production networks as communities of autonomous units and their stability},
booktitle = {Proc. of 3rd International Workshop on Graph Computation Models},
year = {2010},
pages = {17--32},
citeulike-article-id = {11219563},
keywords = {autonomous\_units, production\_networks, stability},
posted-at = {2012-09-10 20:02:58},
priority = {2}
}
@INPROCEEDINGS{DaM11,
author = {Dashkovskiy, Sergey and Mironchenko, Andrii},
title = {Local {ISS} of reaction-diffusion systems},
booktitle = {Proc. of 18th IFAC World Congress},
year = {2011},
editor = {Sergio, Bittanti},
pages = {11018--11023},
citeulike-article-id = {11171877},
citeulike-linkout-0 = {http://dx.doi.org/10.3182/20110828-6-IT-1002.01916},
citeulike-linkout-1 = {http://dx.doi.org/10.3182/20110828-6-IT-1002.01916},
day = {28},
keywords = {infinite\_dimensional\_systems, iss, linearization, liss, pde, reaction-diffusion},
posted-at = {2012-09-01 16:24:38},
priority = {2}
}
@ARTICLE{DaM13,
author = {Dashkovskiy, Sergey and Mironchenko, Andrii},
title = {Input-to-state stability of infinite-dimensional control systems},
journal = {Mathematics of Control, Signals, and Systems},
year = {2013},
volume = {25},
pages = {1--35},
number = {1},
abstract = {{We develop tools for investigation of input-to-state stability (ISS)
of infinite-dimensional control systems. We show that for certain
classes of admissible inputs, the existence of an ISS-Lyapunov function
implies the ISS of a system. Then for the case of systems described
by abstract equations in Banach spaces, we develop two methods of
construction of local and global ISS-Lyapunov functions. We prove
a linearization principle that allows a construction of a local ISS-Lyapunov
function for a system, the linear approximation of which is ISS.
In order to study the interconnections of nonlinear infinite-dimensional
systems, we generalize the small-gain theorem to the case of infinite-dimensional
systems and provide a way to construct an ISS-Lyapunov function for
an entire interconnection, if ISS-Lyapunov functions for subsystems
are known and the small-gain condition is satisfied. We illustrate
the theory on examples of linear and semilinear reaction-diffusion
equations.}},
booktitle = {Mathematics of Control, Signals, and Systems},
citeulike-article-id = {11159147},
citeulike-linkout-0 = {http://arxiv.org/abs/1202.3325},
citeulike-linkout-1 = {http://www.springerlink.com/content/c551463184277143},
citeulike-linkout-2 = {http://link.springer.com/article/10.1007/s00498-012-0090-2},
day = {28},
issn = {0932-4194},
keywords = {infinite\_dimensional\_systems, iss, linearization, liss, lyapunov\_methods,
nonlinear\_systems, small-gain\_theorems},
posted-at = {2013-03-13 12:56:06},
priority = {2},
publisher = {Springer}
}
@ARTICLE{DaM13b,
author = {Dashkovskiy, Sergey and Mironchenko, Andrii},
title = {Input-to-state stability of nonlinear impulsive systems},
journal = {SIAM Journal on Control and Optimization},
year = {2013},
volume = {51},
pages = {1962--1987},
number = {3},
citeulike-article-id = {12332345},
citeulike-linkout-0 = {http://arxiv.org/abs/1212.5481},
citeulike-linkout-1 = {http://epubs.siam.org/doi/abs/10.1137/120881993},
day = {07},
issn = {0363-0129},
keywords = {hybrid\_systems, impulsive\_systems, infinite\_dimensional\_systems,
iss, lyapunov\_methods, small-gain\_theorems},
posted-at = {2013-05-09 06:21:53},
priority = {2}
}
@INPROCEEDINGS{DaM12,
author = {Dashkovskiy, Sergey and Mironchenko, Andrii},
title = {Dwell-time conditions for robust stability of impulsive systems},
booktitle = {Proc. of 20th International Symposium on Mathematical Theory of Networks and Systems},
year = {2012},
abstract = {{We prove that impulsive systems, which possess an ISS Lyapunov function,
are ISS for time sequences, which satisfy the fixed dwell-time condition.
If the ISS Lyapunov function is the exponential one, we provide stronger
result, which guarantees uniform ISS of the whole system over sequences,
which satisfy the generalized average dwell-time condition.}},
archiveprefix = {arXiv},
citeulike-article-id = {10359162},
citeulike-linkout-0 = {http://arxiv.org/abs/1202.3351},
citeulike-linkout-1 = {http://www.mtns2012.conference.net.au/Full%20Paper/MTNS2012_0072_paper.pdf},
day = {15},
eprint = {1202.3351},
keywords = {dwell-time, hybrid\_systems, impulsive\_systems, iss, lyapunov\_methods},
posted-at = {2012-02-16 09:11:40},
priority = {2}
}
@INPROCEEDINGS{DaM12b,
author = {Dashkovskiy, S. and Mironchenko, A.},
title = {Constructions of {ISS-L}yapunov functions for interconnected impulsive
systems},
booktitle = {Proc. of 51st IEEE Conference on Decision and Control},
year = {2012},
pages = {6831--6836},
publisher = {IEEE},
abstract = {{In this paper we provide two small-gain theorems for impulsive systems.
The first of them provides a construction of an ISS-Lyapunov function
for interconnections of impulsive systems if ISS-Lyapunov functions
for subsystems are given and a small-gain condition holds. If, in
addition, these given ISS-Lyapunov functions are exponential then
the second theorem provides a construction of an exponential ISS-Lyapunov
function for the interconnection if the gains are power functions.}},
citeulike-article-id = {12178518},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/DaM12b Constructions
of ISS-Lyapunov functions for interconnected impulsive systems.pdf},
citeulike-linkout-1 = {http://ieeexplore.ieee.org/xpls/abs\_all.jsp?arnumber=6426871},
institution = {Erfurt Univ. of Appl. Sci., Erfurt, Germany},
isbn = {978-1-4673-2065-8},
issn = {0743-1546},
keywords = {hybrid\_systems, impulsive\_systems, iss, lyapunov\_methods, small-gain\_theorems},
posted-at = {2013-03-19 19:43:31},
priority = {2}
}
@INPROCEEDINGS{DaM10,
author = {Dashkovskiy, S. and Mironchenko, A.},
title = {On the uniform input-to-state stability of reaction-diffusion systems},
booktitle = {Proc. of 49th IEEE Conference on Decision and Control},
year = {2010},
pages = {6547--6552},
publisher = {IEEE},
abstract = {{In the present paper we consider uniform input-to-state stability
of reaction-diffusion equations and compare it with its finite dimensional
counterpart without diffusion as a parameterized set of decoupled
equations. The reaction-diffusion partial differential equation can
be seen as their interconnection via diffusion. We prove, that for
linear reaction-diffusion systems and certain classes of nonlinear
equations the UISS property for corresponding systems without diffusion
implies, that the UISS property holds also for the system with diffusion.}},
citeulike-article-id = {11171827},
citeulike-linkout-1 = {http://ieeexplore.ieee.org/xpls/abs\_all.jsp?arnumber=5717779},
institution = {Dept. of Math. \& Comput. Sci., Univ. of Bremen, Bremen, Germany},
isbn = {978-1-4244-7745-6},
issn = {0743-1546},
keywords = {infinite\_dimensional\_systems, iss, monotone\_systems, pde, reaction-diffusion},
posted-at = {2012-09-01 16:07:32},
priority = {2}
}
@INCOLLECTION{DKN10,
author = {Dashkovskiy, Sergey and Mironchenko, Andrii and Naujok, Lars},
title = {Autonomous and central control of production networks},
booktitle = {Autonomous Cooperation and Control in Logistics},
publisher = {Springer Berlin Heidelberg},
year = {2011},
editor = {H\"{u}lsmann, Michael and Scholz-Reiter, Bernd and Windt, Katja},
pages = {27--43},
citeulike-article-id = {11219558},
keywords = {logistics, production\_networks},
posted-at = {2012-09-10 19:54:14},
priority = {2}
}
@misc{Mir23b,
author = {Mironchenko, Andrii},
title = {Input-to-state stability of distributed parameter systems},
note = {Habilitation thesis. Faculty of Computer Science and Mathematics, University of Passau},
citeulike-linkout-0 = {http://arxiv.org/abs/2302.00535},
citeulike-linkout-1 = {http://arxiv.org/abs/2302.00535},
year = {2023}
}
@PHDTHESIS{Mir12,
author = {Mironchenko, Andrii},
title = {Input-to-state stability of infinite-dimensional control systems},
school = {Department of Mathematics and Computer Science, University of Bremen},
year = {2012},
citeulike-article-id = {11219566},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Books/Mir12-Diss.pdf},
citeulike-linkout-1 = {http://mironchenko.com/__My_php_sources/Books/Mir12-Diss.pdf},
keywords = {dwell-time, impulsive\_systems, infinite\_dimensional\_systems, iss,
linearization, lyapunov\_methods, parabolic\_equations, pde},
posted-at = {2012-09-10 20:11:55},
priority = {0}
}
@MASTERSTHESIS{Mir08,
author = {Mironchenko, Andrii},
title = {Mathematical modeling of agrocoenosis (in {R}ussian)},
school = {Department of Applied Mathematics, Mechnikov Odessa National University},
year = {2008},
citeulike-article-id = {11219581},
keywords = {optimal\_allocation, optimal\_control, pde, population\_ecology},
posted-at = {2012-09-10 20:32:27},
priority = {2}
}
@INPROCEEDINGS{MiK13b,
author = {Mironchenko, A. and Kozlowski, J.},
title = {Optimal allocation strategies of perennial plants},
pages = {3361--3366},
publisher = {IEEE},
booktitle = {Proc. of 52nd IEEE Conference on Decision and Control},
year = {2013},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MiK13b.pdf},
citeulike-linkout-1 = {http://ieeexplore.ieee.org/document/6760397/},
citeulike-article-id = {12694664},
posted-at = {2013-10-05 16:18:13},
priority = {2}
}
@ARTICLE{MiK14,
author = {Mironchenko, Andrii and Koz{\l}owski, Jan},
title = {Optimal allocation patterns and optimal seed mass of a perennial plant},
journal = {Journal of Theoretical Biology},
year = {2014},
volume = {354},
pages = {12--24},
citeulike-article-id = {13127809},
citeulike-linkout-0 = {http://arxiv.org/abs/1103.4339v3},
citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/pii/S0022519314001623},
issn = {00225193},
keywords = {optimal\_allocation, optimal\_control, perennials, seed\_size, trade-off},
posted-at = {2014-04-06 09:35:34},
priority = {2}
}
@ARTICLE{MWW15,
author={Mironchenko, A. and Wirth, F. and Wulff, K.},
journal={IEEE Transactions on Automatic Control},
citeulike-article-id = {13548499},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MWW15.pdf},
citeulike-linkout-1 = {http://ieeexplore.ieee.org/xpls/abs\_all.jsp?arnumber=7047753},
title={Stabilization of switched linear differential algebraic equations and periodic switching},
year={2015},
volume={60},
number={8},
pages={2102-2113},
keywords={approximation theory;differential algebraic equations;linear systems;stability;commuting vector fields;consistency projectors;necessary criterion;parameterized approximation;periodic switching;stabilizability condition;stabilization;sufficient criterion;switched DAE behavior;switched linear differential algebraic equations;switched linear systems;switched ordinary differential equations;time-dependent switching;Approximation methods;Asymptotic stability;Equations;Stability criteria;Switched systems;Switches;Differential-algebraic equations;stabilization;switched systems},
ISSN={0018-9286}
}
@INPROCEEDINGS{MWW13,
author = {Mironchenko, A. and Wirth, F. and Wulff, K.},
title = {Stabilization of switched linear differential-algebraic equations
via time-dependent switching signals},
pages = {5975--5980},
publisher = {IEEE},
booktitle = {Proc. of 52nd IEEE Conference on Decision and Control},
year = {2013},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MWW13.pdf},
citeulike-linkout-1 ={http://ieeexplore.ieee.org/xpl/login.jsp?tp&arnumber=6760832&url=http%3A%2F%2Fieeexplore.ieee.org%2Fiel7%2F6749719%2F6759837%2F06760832.pdf%3Farnumber%3D6760832},
citeulike-article-id = {12694660},
posted-at = {2013-10-05 16:16:13},
priority = {2}
}
@inproceedings{MiI14,
author = {Mironchenko, Andrii and Ito, Hiroshi},
booktitle = {Proc. of 53rd IEEE Conference on Decision and Control},
citeulike-article-id = {13248266},
keywords = {bilinear\_systems, integral\_iss, iss},
pages = {3155--3160},
posted-at = {2014-07-02 14:39:12},
priority = {2},
title = {Integral input-to-state stability of bilinear infinite-dimensional systems},
citeulike-linkout-0 = {http://ieeexplore.ieee.org/document/7039876},
citeulike-linkout-1 = {http://ieeexplore.ieee.org/document/7039876},
year = {2014}
}
@inproceedings{DaM14,
author = {Dashkovskiy, Sergey and Mironchenko, Andrii},
booktitle = {Proc. of 53rd IEEE Conference on Decision and Control},
citeulike-article-id = {13248265},
keywords = {impulsive\_systems, iss},
pages = {2071--2076},
posted-at = {2014-07-02 14:37:39},
priority = {2},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/DaM14.pdf},
citeulike-linkout-1 = {http://ieeexplore.ieee.org/document/7039703},
title = {Stability of nonlinear infinite dimensional impulsive systems and their interconnections.},
year = {2014}
}
@inproceedings{MiI15,
author = {Mironchenko, Andrii and Ito, Hiroshi},
booktitle = {Proc. of 2015 European Control Conference},
pages = {37--42},
priority = {2},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MiI15.pdf},
citeulike-linkout-1 = {http://ieeexplore.ieee.org/document/7330522/},
title = {Construction of i{ISS} {L}yapunov functions for interconnected parabolic systems},
year = {2015}
}
@inproceedings{MiW15,
author = {Mironchenko, Andrii and Fabian Wirth},
booktitle = {Proc. of 54th IEEE Conference on Decision and Control},
pages = {495--500},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MiW15.pdf},
citeulike-linkout-1 = {http://ieeexplore.ieee.org/document/7402277/},
title = {A note on input-to-state stability of linear and bilinear infinite-dimensional systems.},
year = {2015}
}
@article{MiI15b,
author = {Andrii Mironchenko and Hiroshi Ito},
title = {Construction of {L}yapunov Functions for Interconnected Parabolic Systems: An i{ISS} Approach},
journal = {SIAM Journal on Control and Optimization},
volume = {53},
number = {6},
pages = {3364-3382},
year = {2015},
citeulike-linkout-0 = {http://arxiv.org/abs/1410.3058},
citeulike-linkout-1 = {http://epubs.siam.org/doi/abs/10.1137/14097269X},
}
@inproceedings{DaM14b,
author = {Dashkovskiy, Sergey and Mironchenko, Andrii},
booktitle = {Proceedings CD of SICE Multi Symposium on Control Systems 2014},
citeulike-article-id = {13248279},
keywords = {dwell-time, impulsive\_systems, iss, lyapunov\_methods},
location = {Tokyo, Japan},
posted-at = {2014-07-02 14:50:00},
priority = {2},
title = {{L}yapunov methodology for stability analysis of impulsive systems},
year = {2014}
}
@INPROCEEDINGS{MYL14,
author = {Andrii Mironchenko and Guosong Yang and Daniel Liberzon},
title = {Lyapunov small-gain theorems for not necessarily {ISS} hybrid systems},
booktitle = {Proc. of 21st International Symposium on Mathematical Theory of Networks and Systems},
pages = {1001--1008},
year = {2014},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MYL14.pdf},
keywords = {dwell-time, hybrid\_systems, impulsive\_systems, iss, lyapunov\_methods},
}
@article{Mir16,
title = {Local input-to-state stability: Characterizations and counterexamples},
journal = {Systems \& Control Letters},
volume = {87},
number = {},
pages = {23--28},
year = {2016},
note = {},
issn = {0167-6911},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/Mir16.pdf},
citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/pii/S0167691115002157},
author = {Andrii Mironchenko},
keywords = {Nonlinear control systems},
keywords = {Infinite-dimensional systems},
keywords = {Input-to-state stability},
keywords = {Lyapunov methods}
}
@INPROCEEDINGS{MiW16a,
author = {Mironchenko, Andrii and Wirth, Fabian},
title = {Restatements of input-to-state stability in infinite dimensions:
what goes wrong?},
booktitle = {Proc. of 22nd International Symposium on Mathematical Theory of Networks and Systems},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MiW16a.pdf},
pages = {667--674},
year = {2016}
}
@INPROCEEDINGS{MiW16b,
author = {Andrii Mironchenko and Fabian Wirth},
title = {Global converse Lyapunov theorems for infinite-dimensional systems},
booktitle = {Proc. of 10th IFAC Symposium on Nonlinear Control Systems},
pages = {909--914},
year = {2016},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MiW16b.pdf},
citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/pii/S2405896316318602}
}
@article{Mir17a,
title={Uniform weak attractivity and criteria for practical global asymptotic stability},
author={Mironchenko, Andrii},
journal={Systems \& Control Letters},
volume={105},
pages={92--99},
year={2017},
publisher={Elsevier},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/Mir17a.pdf},
citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/pii/S0167691117300993}
}
@article{MiW19a,
author = {Andrii Mironchenko and Fabian Wirth},
title = {Non-coercive {L}yapunov functions for infinite-dimensional systems},
journal = {Journal of Differential Equations},
year = {2019},
volume={105},
issue={11},
pages={7038--7072},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MiW17a.pdf},
citeulike-linkout-1 = {http://doi.org/10.1016/j.jde.2018.11.026}
}
@ARTICLE{MiW18b,
author = {Andrii Mironchenko and Fabian Wirth},
journal={IEEE Transactions on Automatic Control},
title={Characterizations of input-to-state stability for infinite-dimensional systems},
year={2018},
volume={63},
number={6},
pages={1602-1617},
keywords={Asymptotic stability;Control systems;Differential equations;Lyapunov methods;Stability criteria;Thermal stability;Infinite-dimensional systems;input-to-state stability (ISS);nonlinear systems},
ISSN={0018-9286},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MiW17b.pdf},
citeulike-linkout-1 = {http://ieeexplore.ieee.org/document/8049400}
}
@ARTICLE{MiW19b,
author = {Andrii Mironchenko and Fabian Wirth},
journal={Mathematics of Control, Signals, and Systems},
title={Existence of non-coercive {L}yapunov functions is equivalent to integral uniform global asymptotic stability},
year={2019},
volume={31},
number={4},
pages={1-26},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MiW18c.pdf},
citeulike-linkout-1 = {http://doi.org/10.1007/s00498-019-0233-9}
}
@ARTICLE{MiW17c,
author = {Mironchenko, A. and Wirth, F.},
title = {Lyapunov characterization of input-to-state stability for semilinear control systems over {B}anach spaces},
volume = {119},
number = {},
pages = {64--70},
journal = {Systems \& Control Letters},
year = {2018},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MiW17c.pdf},
citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/pii/S0167691118301312}
}
@INPROCEEDINGS{MiW17d,
author = {Mironchenko, Andrii and Fabian Wirth},
title = {A non-coercive Lyapunov framework for stability of distributed parameter systems},
booktitle = {Proc. of 56th IEEE Conference on Decision and Control},
pages={1900--1905},
year={2017},
organization={IEEE},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MiW17d.pdf},
citeulike-linkout-1 = {http://ieeexplore.ieee.org/document/8263927/}
}
@INPROCEEDINGS{MiW17e,
author = {Mironchenko, Andrii and Fabian Wirth},
title = {Input-to-state stability of time-delay systems: Criteria and open problems},
booktitle = {Proc. of 56th IEEE Conference on Decision and Control},
pages={3719--3724},
year={2017},
organization={IEEE},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MiW17e.pdf},
citeulike-linkout-1 = {http://ieeexplore.ieee.org/document/8264205/}
}
@inproceedings{YLM16,
title={Analysis of different Lyapunov function constructions for interconnected hybrid systems},
author={Yang, Guosong and Liberzon, Daniel and Mironchenko, Andrii},
booktitle = {Proc. of 55th IEEE Conference on Decision and Control},
pages={465--470},
year={2016},
citeulike-linkout-1 = {http://ieeexplore.ieee.org/document/7798312/},
organization={IEEE}
}
@article{MiI16,
author = {Mironchenko, Andrii and Ito, Hiroshi},
title = {Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions},
citeulike-article-id = {13217514},
journal = {Mathematical Control and Related Fields},
volume ={6},
number ={3},
pages ={447-466},
keywords = {bilinear\_systems, infinite\_dimensional\_systems, integral\_iss, lyapunov\_methods},
posted-at = {2014-06-10 10:09:54},
priority = {2},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MiI16.pdf},
citeulike-linkout-1 = {http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=12759},
year = {2016}
}
@article{Mir19a,
title={Criteria for input-to-state practical stability},
author={Mironchenko, Andrii},
journal={IEEE Transactions on Automatic Control},
volume={64},
number={1},
pages={298--304},
year={2019},
publisher={IEEE},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/Mir19a.pdf},
citeulike-linkout-1 = {http://ieeexplore.ieee.org/document/8334279},
}
@article{MKK19,
author = {Mironchenko, Andrii and Karafyllis, Iasson and Krstic, Miroslav},
title = {Monotonicity methods for input-to-state stability of nonlinear parabolic {PDE}s with boundary disturbances},
journal = {SIAM Journal on Control and Optimization},
volume = {57},
number = {1},
pages = {510--532},
year = {2019},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MKK17.pdf},
citeulike-linkout-1 = {http://doi.org/10.1137/17M1161877}
}
@article{Mir19b,
author = {Mironchenko, Andrii},
title = {Small gain theorems for general networks of heterogeneous infinite-dimensional systems},
journal = {SIAM Journal on Control and Optimization},
volume = {59},
number = {2},
pages = {1393-1419},
year = {2021},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/Mir19b.pdf},
citeulike-linkout-1 = {http://doi.org/10.1137/19M1238502}
}
@inproceedings{Mir19c,
author = {Mironchenko, Andrii},
title = {Small gain theorems for networks of heterogeneous systems},
booktitle = {Proc. of 11th IFAC Symposium on Nonlinear Control Systems},
pages = {925--930},
year = {2019},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/Mir19c.pdf},
citeulike-linkout-1 = {http://mironchenko.com/__My_php_sources/Papers/Mir19c.pdf}
}
@inproceedings{Mir19d,
author = {Mironchenko, Andrii},
title = {Small-gain theorems for stability of infinite networks},
booktitle = {Proc. of 58th IEEE Conference on Decision and Control},
year = {2019},
pages = {5617--5622},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/Mir19d.pdf},
citeulike-linkout-1 = {http://mironchenko.com/__My_php_sources/Papers/Mir19d.pdf}
}
@inproceedings{MPW19a,
author = {Mironchenko, Andrii and Prieur, Christophe and Wirth, Fabian},
title = {Design of saturated controls for an unstable parabolic {PDE}},
booktitle = {Proc. of 11th IFAC Symposium on Nonlinear Control Systems},
pages = {937--942},
year = {2019},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MPW19a.pdf}
}
@ARTICLE{MPW21,
author={Mironchenko, Andrii and Prieur, Christophe and Wirth, Fabian},
journal={IEEE Transactions on Automatic Control},
title={Local stabilization of an unstable parabolic equation via saturated controls},
year={2021},
volume={66},
number={5},
pages={2162--2176},
citeulike-linkout-0 = {http://arxiv.org/abs/1907.11473},
citeulike-linkout-1 = {https://ieeexplore.ieee.org/document/9134871}
}
@inproceedings{DMS19a-old-proc,
author = {Dashkovskiy, Sergey and Mironchenko, Andrii and Schmid, Jochen and Wirth, Fabian},
title = {Stability of infinitely many interconnected systems},
booktitle = {Proc. of 11th IFAC Symposium on Nonlinear Control Systems},
pages = {937--942},
year = {2019},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/DMS19a.pdf}
}
@article{DMS19a,
title = {Stability of infinitely many interconnected systems},
author = {Sergey Dashkovskiy and Andrii Mironchenko and Jochen Schmid and Fabian Wirth},
journal = {IFAC-PapersOnLine},
volume = {52},
number = {16},
pages = {550--555},
year = {2019},
issn = {2405-8963},
doi = {https://doi.org/10.1016/j.ifacol.2019.12.019},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/DMS19a.pdf},
citeulike-linkout-1 = {https://www.sciencedirect.com/science/article/pii/S2405896319318452}
}
@inproceedings{MKK18a,
author = {Mironchenko, Andrii and Karafyllis, Iasson and Krstic, Miroslav},
title = {Input-to-state stability of nonlinear parabolic {PDE}s with {D}irichlet boundary disturbances},
booktitle = {Proc. of 23rd International Symposium on Mathematical Theory of Networks and Systems},
year = {2018},
pages = {38--44},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MKK18a.pdf}
}
@inproceedings{MiW18a,
author = {Mironchenko, Andrii and Fabian Wirth},
title = {Integral uniform global asymptotic stability and non-coercive {L}yapunov functions},
booktitle = {Proc. of 23rd International Symposium on Mathematical Theory of Networks and Systems},
pages = {734--741},
year = {2018},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MiW18a.pdf}
}
@ARTICLE{MYL18,
author = {Mironchenko, Andrii and Yang, Guosong and Liberzon, Daniel},
title = {{L}yapunov small-gain theorems for networks of not necessarily {ISS} hybrid systems},
journal = {Automatica},
year = {2018},
volume = {88},
pages = {10--20},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MYL18.pdf},
citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/pii/S0005109817305290}
}
@inproceedings{JMP18,
author = {Jacob, Birgit and Mironchenko, Andrii and Partington, Jonathan R. and Wirth, Fabian},
title = {Remarks on input-to-state stability and non-coercive {L}yapunov functions},
booktitle = {Proc. of 57th IEEE Conference on Decision and Control},
pages = {4803--4808},
year = {2018},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/JMP18.pdf}
}
@article{MiP20,
title={Input-to-state stability of infinite-dimensional systems: Recent results and open questions},
author={Andrii Mironchenko and Christophe Prieur},
journal = {SIAM Review},
volume = {62},
number = {3},
pages = {529-614},
year = {2020},
citeulike-linkout-0 = {http://arxiv.org/abs/1910.01714},
citeulike-linkout-1 = {https://doi.org/10.1137/19M1291248},
}
@ARTICLE{KMS21,
author={Kawan, Christoph and Mironchenko, Andrii and Swikir, Abdalla and Noroozi, Navid and Zamani, Majid},
journal={IEEE Transactions on Automatic Control},
title={A {L}yapunov-based small-gain theorem for infinite networks},
year={2021},
volume={66},
number={12},
pages={5830-5844},
citeulike-linkout-0 = {http://arxiv.org/abs/1910.12746},
citeulike-linkout-1 = {https://ieeexplore.ieee.org/document/9280418},
doi={10.1109/TAC.2020.3042410}
}
@article{NMK21,
title = {Set stability of infinite networks: {ISS} small-gain theory and its applications},
journal = {IFAC-PapersOnLine},
volume = {54},
number = {9},
pages = {72--77},
year = {2021},
issn = {2405-8963},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/NMK20.pdf},
citeulike-linkout-1 = {https://doi.org/10.1016/j.ifacol.2021.06.063},
author = {Navid Noroozi and Andrii Mironchenko and Christoph Kawan and Majid Zamani}
}
@inproceedings{KMS20,
title = {A spectral small-gain condition for input-to-state stability of infinite networks},
journal = {IFAC-PapersOnLine},
volume = {53},
number = {2},
pages = {5303--5308},
year = {2020},
note = {21th IFAC World Congress},
issn = {2405-8963},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/KMS20.pdf},
citeulike-linkout-1 = {https://doi.org/10.1016/j.ifacol.2020.12.1214},
author = {Christoph Kawan and Andrii Mironchenko and Abdalla Swikir and Navid Noroozi and Majid Zamani},
keywords = {Nonlinear systems, small-gain theorems, infinite-dimensional systems, input-to-state stability, Lyapunov methods, large-scale systems},
abstract = {This paper presents a tight small-gain theorem for networks composed of infinitely many finite-dimensional subsystems. Assuming that each subsystem is exponentially input-to-state stable, we show that if the gain operator, collecting all the information about the internal Lyapunov gains, has a spectral radius less than one, the overall infinite network is exponentially input-to-state stable. We illustrate the effectiveness of our result by applying it to traffic networks.}
}
@inproceedings{NMW20,
title={A relaxed small-gain theorem for discrete-time infinite networks},
author={Noroozi, Navid and Mironchenko, Andrii and Wirth, Fabian R},
booktitle={Proc. of 59th IEEE Conference on Decision and Control},
pages={3102--3107},
year={2020},
organization={IEEE}
}
@article{NMK22,
title={A small-gain theorem for set stability of infinite networks: {D}istributed observation and {ISS} for time-varying networks},
author={Noroozi, Navid and Mironchenko, Andrii and Kawan, Christoph and Zamani, Majid},
journal={European Journal of Control},
volume = {67},
pages={100634},
year={2022},
citeulike-linkout-0 = {http://arxiv.org/abs/2002.07085},
citeulike-linkout-1 = {https://doi.org/10.1016/j.ejcon.2022.100634},
publisher={Elsevier}
}
@INPROCEEDINGS{Mir20,
title = {Lyapunov functions for input-to-state stability of infinite-dimensional systems with integrable inputs},
booktitle={IFAC-PapersOnLine},
volume = {53},
number = {2},
pages = {5336-5341},
year = {2020},
issn = {2405-8963},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/Mir20.pdf},
citeulike-linkout-1 = {https://doi.org/10.1016/j.ifacol.2020.12.1222},
author = {Andrii Mironchenko},
keywords = {Nonlinear systems, infinite-dimensional systems, input-to-state stability, Lyapunov methods},
abstract = {In this paper, we extend the ISS Lyapunov methodology to make it suitable for the analysis of ISS w.r.t. inputs from Lp-spaces. We show that the existence of a so-called Lp-ISS Lyapunov function implies Lp-ISS of a system. Also, we show that existence of a noncoercive Lp-ISS Lyapunov function implies Lp-ISS of a control system provided the flow map is continuous w.r.t. states and inputs and provided the finite-time reachability sets, corresponding to the input space Lp are bounded.}
}
@ARTICLE{KMZ23,
author={Kawan, Christoph and Mironchenko, Andrii and Zamani, Majid},
journal={IEEE Transactions on Automatic Control},
title={A {L}yapunov-based {ISS} small-gain theorem for infinite networks of nonlinear systems},
year={2023},
volume={68},
number={3},
pages={1447--1462},
citeulike-linkout-0 = {http://arxiv.org/abs/2103.07439},
citeulike-linkout-1 = {https://ieeexplore.ieee.org/document/9813386}
}
@INPROCEEDINGS{KMZ21b,
author={Kawan, Christoph and Mironchenko, Andrii and Zamani, Majid},
booktitle = {Proc. of 60th IEEE Conference on Decision and Control},
pages = {4811--4816},
title={Construction of {ISS} Lyapunov functions for infinite networks of {ISS} systems},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/KMZ21b.pdf},
citeulike-linkout-1 = {http://mironchenko.com/__My_php_sources/Papers/KMZ21b.pdf},
year={2021}
}
@INPROCEEDINGS{MNK21b,
author={Mironchenko, Andrii and Noroozi, Navid and Kawan, Christoph and Zamani, Majid},
booktitle = {Proc. of 60th IEEE Conference on Decision and Control},
pages = {4817--4822},
title={A small-gain approach to {ISS} of infinite networks with homogeneous gain operators},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MNK21b.pdf},
citeulike-linkout-1 = {http://mironchenko.com/__My_php_sources/Papers/MNK21b.pdf},
year={2021}
}
@ARTICLE{MNK21,
author={Mironchenko, Andrii and Noroozi, Navid and Kawan, Christoph and Zamani, Majid},
journal={Systems \& Control Letters},
title={{ISS} small-gain criteria for infinite networks with linear gain functions},
citeulike-linkout-0 = {http://arxiv.org/abs/2103.06694},
citeulike-linkout-1 = {https://doi.org/10.1016/j.sysconle.2021.105051},
volume = "157",
pages = "105051",
year={2021}
}