Input/output-to-state stability of impulsive switched systems

被引：129

作者：

Li, Xiaodi ^{[1
,2
]}

Li, Peng ^{[1
]}

Wang, Qing-guo ^{[3
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China

[2] Shandong Normal Univ, Shandong Prov Key Lab Med Phys & Image Proc Techn, Jinan 250014, Shandong, Peoples R China

[3] Univ Johannesburg, Inst Intelligent Syst, Johannesburg, South Africa

来源：

SYSTEMS & CONTROL LETTERS | 2018年 / 116卷

基金：

中国国家自然科学基金;

关键词：

Input/output-to-state stability (IOSS); Impulsive switched systems; Average dwell-time (ADT); Lyapunov method; DISCRETE-TIME-SYSTEMS; NONLINEAR-SYSTEMS; INPUT-OUTPUT; EXPONENTIAL STABILITY; LYAPUNOV FUNCTIONS; DELAYED IMPULSES; NEURAL-NETWORKS; STABILIZATION; ISS;

D O I：

10.1016/j.sysconle.2018.04.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies the input/output-to-state stability (IOSS) of impulsive switched systems. With the help of Lyapunov and average dwell-time (ADT) methods, some sufficient conditions for IOSS of impulsive switched systems are obtained, where both types of impulses, stabilizing impulses and destabilizing impulses, are considered. It is shown that when all of the modes are IOSS, a switched system under an ADT scheme is IOSS even if there exist destabilizing impulses, and when none of the modes is IOSS, IOSS can still be achieved under the designed ADT scheme coupled with stabilizing impulses. In particular, for a special case in which an impulsive switched system is composed of some IOSS modes and some non-IOSS modes, a relationship is established among the ADT scheme, impulses, and the total dwell time between non-IOSS and IOSS modes such that the impulsive switched system is IOSS. Two examples are provided to illustrate the applications of our results. (C) 2018 Elsevier B.V. All rights

引用

页码：1 / 7

页数：7

共 44 条

[31] Input/output-to-state stability and state-norm estimators for switched nonlinear systems [J].

Mueller, Matthias A. ;

Liberzon, Daniel .

AUTOMATICA, 2012, 48 (09) :2029-2039

[32] Exponential stability of impulsive systems with application to uncertain sampled-data systems [J].

Naghshtabrizi, Payam ;

Hespanha, Joao P. ;

Teel, Andrew R. .

SYSTEMS & CONTROL LETTERS, 2008, 57 (05) :378-385

[33] Stability and stabilization studies for a class of switched nonlinear systems via vector norms approach [J].

Sakly, Anis ;

Kermani, Marwen .

ISA TRANSACTIONS, 2015, 57 :144-161

[34]

Sontag E., 2008, LECT NOTES MATH, V1932

[35] Comments on integral variants of ISS [J].

Sontag, ED .

SYSTEMS & CONTROL LETTERS, 1998, 34 (1-2) :93-100

[36] SMOOTH STABILIZATION IMPLIES COPRIME FACTORIZATION [J].

SONTAG, ED .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (04) :435-443

[37] Global exponential stability of a class of impulsive cellular neural networks with supremums [J].

Stamova, Ivanka ;

Stamov, Trayan ;

Li, Xiaodi .

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2014, 28 (11) :1227-1239

[38] Convergence domain for time-varying switched systems [J].

Suo, Jinghui ;

Sun, Jitao .

SYSTEMS & CONTROL LETTERS, 2015, 78 :19-24

[39]

Verriest EI, 2003, 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, P2156

[40]

Verriest EI, 2009, LECT NOTES CONTR INF, V388, P255, DOI 10.1007/978-3-642-02897-7_22

← 1 2 3 4 5 →