Dwell-time stability conditions for infinite dimensional impulsive systems

被引：19

作者：

Dashkovskiy, Sergey ^{[1
]}

Slynko, Vitalii ^{[1
]}

机构：

[1] Univ Wurzburg, Inst Math, Emil-F Str 40, D-97074 Wurzburg, Germany

来源：

AUTOMATICA | 2023年 / 147卷

关键词：

Nonlinear systems; Impulsive systems; Input-to-state stability; Lyapunov methods; TO-STATE STABILITY;

D O I：

10.1016/j.automatica.2022.110695

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider nonlinear impulsive systems on Banach spaces subjected to disturbances and look for dwell-time conditions guaranteeing the ISS property. In contrary to many existing results our conditions cover the case where both continuous and discrete dynamics can be unstable simultaneously. Lyapunov type methods are used for this purpose. The effectiveness of our approach is illustrated on a rather nontrivial example, which is feedback connection of an ODE and a PDE system.(c) 2022 Elsevier Ltd. All rights reserved.

引用

页数：12

共 27 条

[11] Lyapunov conditions for input-to-state stability of impulsive systems
Hespanha, Joao P.
Liberzon, Daniel
Teel, Andrew R.
[J]. AUTOMATICA, 2008, 44 (11) : 2735 - 2744
[12] On the stability of invariant sets of systems with impulse effect
Ignatyev, Alexander O.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (01) : 53 - 72
[13] NONCOERCIVE LYAPUNOV FUNCTIONS FOR INPUT-TO-STATE STABILITY OF INFINITE-DIMENSIONAL SYSTEMS
Jacob, Birgit
Mironchenko, Andrii
Partington, Jonathan R.
Wirth, Fabian
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2020, 58 (05) : 2952 - 2978
[14] Lakshmikantham V., 1989, SERIES MODERN APPL M, V6, P273
[15] LIBERZON D, 2003, SYS CON FDN, pR9
[16] ISS and integral-ISS of switched systems with nonlinear supply functions
Liu, Shenyu
Tanwani, Aneel
Liberzon, Daniel
[J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2022, 34 (02) : 297 - 327
[17] Liu X., 1995, CANADIAN APPL MATH Q, V3, P419
[18] Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions
Mironchenko, Andrii
Prieur, Christophe
[J]. SIAM REVIEW, 2020, 62 (03) : 529 - 614
[19] MONOTONICITY METHODS FOR INPUT-TO-STATE STABILITY OF NONLINEAR PARABOLIC PDES WITH BOUNDARY DISTURBANCES
Mironchenko, Andrii
Karafyllis, Iasson
Krstic, Miroslav
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2019, 57 (01) : 510 - 532
[20] Lyapunov small-gain theorems for networks of not necessarily ISS hybrid systems
Mironchenko, Andrii
Yang, Guosong
Liberzon, Daniel
[J]. AUTOMATICA, 2018, 88 : 10 - 20

← 1 2 3 →