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@article{NMW20b,
author={Navid Noroozi and Andrii Mironchenko and Fabian Wirth},
title = {A relaxed small-gain theorem for infinite networks},
journal = {Submitted, preprint available at https://arxiv.org/abs/2011.10876},
citeulike-linkout-0 = {https://arxiv.org/abs/2011.10876},
citeulike-linkout-1 = {https://arxiv.org/abs/2011.10876},
year = {2020}
}
@ARTICLE{GlM20,
author = {Gl\"uck, Jochen and Mironchenko, Andrii},
title = {Stability criteria for positive linear discrete-time systems},
journal = {Submitted, preprint available at https://arxiv.org/pdf/2011.02251},
year = {2020},
citeulike-linkout-0 = {https://arxiv.org/abs/2011.02251},
citeulike-linkout-1 = {https://arxiv.org/abs/2011.02251}
}
@ARTICLE{Mir20b,
author = {Mironchenko, Andrii},
title = {Non-uniform {ISS} small-gain theorem for infinite networks},
journal = {Submitted. Available at ArXiV at https://arxiv.org/abs/2007.07848},
citeulike-linkout-0 = {https://arxiv.org/abs/2007.07848},
citeulike-linkout-1 = {https://arxiv.org/abs/2007.07848},
year = {2020}
}
@ARTICLE{MKG20,
author = {Mironchenko, Andrii and Kawan, Christoph and Gl\"uck, Jochen},
title = {{Nonlinear small-gain theorems for input-to-state stability of infinite interconnections}},
journal = {Submitted to Mathematics of Control, Signals, and Systems, https://arxiv.org/abs/2007.05705},
citeulike-linkout-0 = {https://arxiv.org/abs/2007.05705},
citeulike-linkout-1 = {https://arxiv.org/abs/2007.05705},
year = {2020}
}
@article{JMP20,
title={Noncoercive Lyapunov 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 = {https://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 Lyapunov-Krasovskii small-gain theorem to
autonomously controlled production networks with time-delays}},
booktitle = {Proceedings of the 10th Conference on Control and Fault-Tolerant
Systems (SysTol'10)},
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 Lyapunov 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 = {Proceedings of the 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 = {Proceedings of the 18th IFAC World Congress (IFAC 2011)},
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 = {https://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 = {Proceedings of the 20th International Symposium on Mathematical Theory
of Networks and Systems (MTNS 2012), 2012},
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-Lyapunov functions for interconnected impulsive
systems}},
booktitle = {Proceedings of IEEE 51st Annual Conference on Decision and Control
(CDC), 2012},
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 = {Proceedings of the 49th IEEE Conference on Decision and Control (CDC),
2010},
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}
}
@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://elib.suub.uni-bremen.de/edocs/00102683-1.pdf},
citeulike-linkout-1 = {http://elib.suub.uni-bremen.de/edocs/00102683-1.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 Russian)},
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}
}
@BOOK{Mir07,
title = {{Imperativnoe i objectno-orientirovannoe programmirovanie na Turbo-Pascal
i Delphi (in Russian)}},
publisher = {VMV},
year = {2007},
author = {Mironchenko, Andrii},
pages = {408},
address = {Odessa},
citeulike-article-id = {11219589},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Books/Mir07 Imperativnoe i
Objektno-orientirovannoe programmirovanie na TP i Delphi.pdf},
citeulike-linkout-1 = {http://mironchenko.com/__My_php_sources/Books/Mir07 Imperativnoe i
Objektno-orientirovannoe programmirovanie na TP i Delphi.pdf},
keywords = {delphi, imperative\_programming, object-oriented\_programming, pascal,
programming, russian, textbook},
posted-at = {2012-09-10 20:43:36},
priority = {2}
}
@INPROCEEDINGS{MiK13b,
author = {Mironchenko, A. and Kozlowski, J.},
title = {{Optimal allocation strategies of perennial plants}},
pages = {3361--3366},
publisher = {IEEE},
booktitle = {Proceedings of 52th IEEE Conference on Decision and Control (CDC 2013),
Florence, Italy.},
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 = {https://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 = {Proceedings of 52th IEEE Conference on Decision and Control (CDC 2013),
Florence, Italy.},
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 the 53th 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 the 53th 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 the 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 the 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 = {{Lyapunov 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 = {Proceedings of the 21st International Symposium on Mathematical Theory
of Networks and Systems (MTNS 2014)},
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 the 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 the 10th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2016)},
pages = {909--914},
year = {2016},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MiW16b.pdf},
citeulike-linkout-1 = {https://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 Lyapunov 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 = {https://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 = {https://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 Banach 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 the 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 the 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 the 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 = {Accepted to SIAM Journal on Control and Optimization},
year = {2021},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/Mir19b.pdf},
citeulike-linkout-1 = {http://mironchenko.com/__My_php_sources/Papers/Mir19b.pdf}
}
@inproceedings{Mir19c,
author = {Mironchenko, Andrii},
title = {Small gain theorems for networks of heterogeneous systems},
booktitle = {Proc. of the 11th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2019)},
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 the 58th IEEE Conference on Decision and Control, Nice, France},
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 the 11th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2019)},
pages = {937--942},
year = {2019},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/MPW19a.pdf}
}
@article{MPW19b,
author = {Mironchenko, Andrii and Prieur, Christophe and Wirth, Fabian},
title = {Local stabilization of an unstable parabolic equation via saturated controls},
journal = {To appear in {IEEE} Transactions on Automatic Control, https://ieeexplore.ieee.org/document/9134871},
year = {2021},
citeulike-linkout-0 = {https://arxiv.org/abs/1907.11473},
citeulike-linkout-1 = {https://ieeexplore.ieee.org/document/9134871}
}
@inproceedings{DMS19a,
author = {Dashkovskiy, Sergey and Mironchenko, Andrii and Schmid, Jochen and Wirth, Fabian},
title = {Stability of infinitely many interconnected systems},
booktitle = {Proc. of the 11th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2019)},
pages = {937--942},
year = {2019},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/DMS19a.pdf}
}
@inproceedings{MKK18a,
author = {Mironchenko, Andrii and Karafyllis, Iasson and Krstic, Miroslav},
title = {{Input-to-State Stability of Nonlinear Parabolic PDEs with Dirichlet Boundary Disturbances}},
booktitle = {Proc. of the 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 Lyapunov functions}},
booktitle = {Proc. of the 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 the 57th IEEE Conference on Decision and Control, Miami Beach, USA},
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{KMS19,
title={A {L}yapunov-based {ISS} small-gain theorem for infinite networks},
author={Christoph Kawan and Andrii Mironchenko and Abdalla Swikir and Navid Noroozi and Majid Zamani},
journal={Appeared online in IEEE Transactions on Automatic Control, https://ieeexplore.ieee.org/document/9280418},
citeulike-linkout-0 = {http://arxiv.org/abs/1910.12746},
citeulike-linkout-1 = {https://ieeexplore.ieee.org/document/9280418},
year={2020},
primaryClass={math.OC}
}
@inproceedings{NMK20,
author = {Navid Noroozi and Andrii Mironchenko and Christoph Kawan and Majid Zamani},
title = {Set stability of infinite networks: {ISS} small-gain theory and its applications},
booktitle = {Accepted to the 24th International Symposium on Mathematical Theory of Networks and Systems},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/NMK20.pdf},
citeulike-linkout-1 = {http://mironchenko.com/__My_php_sources/Papers/NMK20.pdf},
year = {2020}
}
@inproceedings{KMS20,
author={Christoph Kawan and Andrii Mironchenko and Abdalla Swikir and Navid Noroozi and Majid Zamani},
title = {A spectral small-gain condition for input-to-state stability of infinite networks},
booktitle = {Accepted to the 21th IFAC World Congress (IFAC 2020)},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/KMS20.pdf},
citeulike-linkout-1 = {http://mironchenko.com/__My_php_sources/Papers/KMS20.pdf},
year = {2020}
}
@inproceedings{NMW20,
title={A relaxed small-gain theorem for discrete-time infinite networks},
author={Noroozi, Navid and Mironchenko, Andrii and Wirth, Fabian R},
booktitle={Prof. of the 59th IEEE Conference on Decision and Control},
pages={3102--3107},
year={2020},
organization={IEEE}
}
@article{NMK20b,
title={Small-gain theorem for stability, cooperative control, and distributed observation of infinite networks},
author={Navid Noroozi and Andrii Mironchenko and Christoph Kawan and Majid Zamani},
journal={ArXiv preprint http://arxiv.org/abs/2002.07085},
citeulike-linkout-0 = {http://arxiv.org/abs/2002.07085},
citeulike-linkout-1 = {http://arxiv.org/abs/2002.07085},
year={2020},
primaryClass={math.OC}
}
@INPROCEEDINGS{Mir20,
author = {Mironchenko, Andrii},
title = {Lyapunov functions for input-to-state stability of infinite-dimensional systems with integrable inputs},
booktitle = {Accepted to the 21th IFAC World Congress (IFAC 2020)},
citeulike-linkout-0 = {http://mironchenko.com/__My_php_sources/Papers/Mir20.pdf},
citeulike-linkout-1 = {http://mironchenko.com/__My_php_sources/Papers/Mir20.pdf},
year = {2020}
}
@ARTICLE{KMZ21,
author={Kawan, Christoph and Mironchenko, Andrii and Zamani, Majid},
journal={Submitted, online at: https://arxiv.org/abs/2103.07439},
title={A {L}yapunov-based {ISS} small-gain theorem for infinite networks of nonlinear systems},
citeulike-linkout-0 = {https://arxiv.org/abs/2103.07439},
citeulike-linkout-1 = {https://arxiv.org/abs/2103.07439},
year={2021}
}
@INPROCEEDINGS{KMZ21b,
author={Kawan, Christoph and Mironchenko, Andrii and Zamani, Majid},
journal={Submitted to CDC 2021},
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}
}
@ARTICLE{MNK21,
author={Mironchenko, Andrii and Noroozi, Navid and Kawan, Christoph and Zamani, Majid},
journal={Submitted, online at: https://arxiv.org/abs/2103.06694},
title={{ISS} small-gain criteria for infinite networks with linear gain functions},
citeulike-linkout-0 = {https://arxiv.org/abs/2103.06694},
citeulike-linkout-1 = {https://arxiv.org/abs/2103.06694},
year={2021}
}