Strong ISS implies strong iISS for time-varying impulsive systems

被引：16

作者：

Haimovich, Hernan ^{[1
]}

Mancilla-Aguilar, Jose Luis ^{[2
]}

机构：

[1] CONICET UNR, Int Ctr Informat & Syst Sci CIFASIS, Ocampo & Esmeralda, RA-2000 Rosario, Argentina

[2] Inst Tecnol Buenos Aires, Dept Matemat, Ave Eduardo Madero 399, Buenos Aires, DF, Argentina

来源：

AUTOMATICA | 2020年 / 122卷

关键词：

Impulsive systems; Nonlinear systems; Time-varying systems; Input-to-state stability; Hybrid systems; TO-STATE STABILITY; SMALL-GAIN THEOREMS; INPUT; CRITERIA;

D O I：

10.1016/j.automatica.2020.109224

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For time-invariant (nonimpulsive) systems, it is already well-known that the input-to-state stability (ISS) property is strictly stronger than integral input-to-state stability (iISS). Very recently, we have shown that under suitable uniform boundedness and continuity assumptions on the function defining system dynamics, ISS implies iISS also for time-varying systems. In this paper, we show that this implication remains true for impulsive systems, provided that asymptotic stability is understood in a sense stronger than usual for impulsive systems. (c) 2020 Elsevier Ltd. All rights reserved.

引用

页数：12

共 38 条

[1] Further equivalences and semiglobal versions of integral input to state stability [J].

Angeli, D ;

Sontag, ED ;

Wang, Y .

DYNAMICS AND CONTROL, 2000, 10 (02) :127-149

[2] Intrinsic robustness of global asymptotic stability [J].

Angeli, D .

SYSTEMS & CONTROL LETTERS, 1999, 38 (4-5) :297-307

[3]

Cai CH, 2005, IEEE DECIS CONTR P, P5403

[4] Characterizations of input-to-state stability for hybrid systems [J].

Cai, Chaohong ;

Teel, Andrew R. .

SYSTEMS & CONTROL LETTERS, 2009, 58 (01) :47-53

[5] Input-to-state stability and integral input-to-state stability of nonlinear impulsive systems with delays [J].

Chen, Wu-Hua ;

Zheng, Wei Xing .

AUTOMATICA, 2009, 45 (06) :1481-1488

[6] Input-to-state stability of impulsive systems and their networks [J].

Dashkovskiy, Sergey ;

Feketa, Petro .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2017, 26 :190-200

[7] INPUT-TO-STATE STABILITY OF NONLINEAR IMPULSIVE SYSTEMS [J].

Dashkovskiy, Sergey ;

Mironchenko, Andrii .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2013, 51 (03) :1962-1987

[8] Input-to-state stability of infinite-dimensional control systems [J].

Dashkovskiy, Sergey ;

Mironchenko, Andrii .

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2013, 25 (01) :1-35

[9] Stability of interconnected impulsive systems with and without time delays, using Lyapunov methods [J].

Dashkovskiy, Sergey ;

Kosmykov, Michael ;

Mironchenko, Andrii ;

Naujok, Lars .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2012, 6 (03) :899-915

[10]

Edwards HA, 2000, IEEE DECIS CONTR P, P3501, DOI 10.1109/CDC.2000.912246

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