New input-to-state stability results on switched delay systems under arbitrary switching

被引：2

作者：

Li, Xu ^{[1
]}

Liu, Kuo ^{[1
]}

Liu, Haibo ^{[1
]}

Wang, Yongqing ^{[1
]}

机构：

[1] Dalian Univ Technol, Minist Educ, Key Lab Precis & Nontradit Machining Technol, Dalian 116024, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2023年 / 96卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Switched delay systems; arbitrary switching; input-to-state stability; common Lyapunov-Krasovskii functionals; TIME-DELAY; L-2-GAIN ANALYSIS;

D O I：

10.1080/00207179.2021.2005827

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 is devoted to deal with input-to-state stability analysis of switched delay systems under arbitrary switching. A generalised method called a delay-mode-based common functional (DMBCF) method is used rather than the common Lyapunov-Krasovskii functional (CLKF) method often adopted in the literature. With the help of the DMBCF method, new input-to-state stability conditions of linear switched delay systems under arbitrary switching are presented. Two numerical examples are provided to illustrate that the DMBCF method is effective.

引用

页码：593 / 598

页数：6

共 23 条

[1] Fridman, 2014, INTRO TIME DELAY SYS, DOI DOI 10.1007/978-3-319-09393-2
[2] On input-to-state stability of systems with time-delay: A matrix inequalities approach
Fridman, Emilia
Dambrine, Michel
Yeganefar, Nima
[J]. AUTOMATICA, 2008, 44 (09) : 2364 - 2369
[3] Gu Keqin, 2003, CONTROL ENGN SER BIR
[4] Hespanha J. P., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2655, DOI 10.1109/CDC.1999.831330
[5] Generalized switching signals for input-to-state stability of switched systems
Kundu, Atreyee
Chatterjee, Debasish
Liberzon, Daniel
[J]. AUTOMATICA, 2016, 64 : 270 - 277
[6] Extended Dissipative Analysis for Neural Networks With Time-Varying Delays
Lee, Tae H.
Park, Myeong-Jin
Park, Ju H.
Kwon, Oh-Min
Lee, Sang-Moon
[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2014, 25 (10) : 1936 - 1941
[7] Basic problems in stability and design of switched systems
Liberzon, D
Morse, AS
[J]. IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (05): : 59 - 70
[8] LIBERZON D, 2003, SYS CON FDN, pR9
[9] Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
Lin, Hai
Antsaklis, Panos J.
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (02) : 308 - 322
[10] Stability and L2-gain analysis of Networked Control Systems under Round-Robin scheduling: A time-delay approach
Liu, Kun
Fridman, Emilia
Hetel, Laurentiu
[J]. SYSTEMS & CONTROL LETTERS, 2012, 61 (05) : 666 - 675

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