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

被引：120
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
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页码：1 / 7
页数：7
相关论文
共 44 条
[1]   Separation principles for input-output and integral-input-to-state stability [J].
Angeli, D ;
Ingalls, B ;
Sontag, ED ;
Wang, Y .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2004, 43 (01) :256-276
[2]  
[Anonymous], MONOGRAPHS TREATIS A
[3]  
Bainov D.D., 1989, Systems with Impulse Effect
[4]   Input-output-to-state stability for discrete-time systems [J].
Cai, Chaohong ;
Teel, Andrew R. .
AUTOMATICA, 2008, 44 (02) :326-336
[5]   Asymptotic characterizations of input-output-to-state stability for discrete-time systems [J].
Cai, Chaohong ;
Teel, Andrew R. .
SYSTEMS & CONTROL LETTERS, 2007, 56 (06) :408-415
[6]   Optimal control of a class of hybrid systems [J].
Cassandras, CG ;
Pepyne, DL ;
Wardi, Y .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (03) :398-415
[7]   Synchronization of Arbitrarily Switched Boolean Networks [J].
Chen, Hongwei ;
Liang, Jinling ;
Huang, Tingwen ;
Cao, Jinde .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2017, 28 (03) :612-619
[8]   Input-to-state stability of impulsive systems and their networks [J].
Dashkovskiy, Sergey ;
Feketa, Petro .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2017, 26 :190-200
[9]   INPUT-TO-STATE STABILITY OF NONLINEAR IMPULSIVE SYSTEMS [J].
Dashkovskiy, Sergey ;
Mironchenko, Andrii .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2013, 51 (03) :1962-1987
[10]   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
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