Stability of Switched Systems with Time-Varying Delays under State-Dependent Switching

被引：5

作者：

Liu, Chao ^{[1
]}

Liu, Xiaoyang ^{[1
]}

机构：

[1] Chongqing Univ Technol, Sch Comp Sci & Engn, Chongqing 400054, Peoples R China

来源：

MATHEMATICS | 2022年 / 10卷 / 15期

关键词：

stability; switched system; state-dependent switching; time delay; EXPONENTIAL STABILITY; LINEAR-SYSTEMS; NEURAL-NETWORKS; STABILIZATION; SUBSYSTEMS; DESIGN; CRITERIA; MODES;

D O I：

10.3390/math10152722

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the stability of linear switched systems with time-varying delays and all unstable subsystems. According to the largest region function strategy, the state-dependent switching rule is designed. By bringing in integral inequality and multiple Lyapunov-Krasovskii functionals, the stability results of delayed switched systems with or without sliding motions under the designed state-dependent switching rule are derived for different assumptions on time delay. Several numerical examples are employed to show the effectiveness and superiority of the proposed results.

引用

页数：13

共 34 条

[11] Switching signal design for global exponential stability of uncertain switched nonlinear systems with time-varying delay [J].

Lien, Chang-Hua ;

Yu, Ker-Wei ;

Chung, Yeong-Jay ;

Chang, Hao-Chin ;

Chen, Jenq-Der .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2011, 5 (01) :10-19

[12] Stability of delayed switched systems with state-dependent switching [J].

Liu, Chao ;

Yang, Zheng ;

Liu, Xiaoyang ;

Huang, Xianying .

IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2020, 7 (03) :872-881

[13] Stability of switched neural networks with time-varying delays [J].

Liu, Chao ;

Yang, Zheng ;

Sun, Dihua ;

Liu, Xiaoyang ;

Liu, Wanping .

NEURAL COMPUTING & APPLICATIONS, 2018, 30 (07) :2229-2244

[14] Design of switched linear systems in the presence of actuator saturation [J].

Lu, Liang ;

Lin, Zongli .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (06) :1536-1542

[15] L2 gain analysis for a class of switched systems [J].

Lu, Liang ;

Lin, Zongli ;

Fang, Haijun .

AUTOMATICA, 2009, 45 (04) :965-972

[16] Unified dwell time-based stability and stabilization criteria for switched linear stochastic systems and their application to intermittent control [J].

Luo, Shixian ;

Deng, Feiqi ;

Chen, Wu-Hua .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (06) :2014-2030

[17] New results on stability of switched continuous-time systems with all subsystems unstable [J].

Mao, Xiang ;

Zhu, Hui ;

Chen, Wei ;

Zhang, Hongbin .

ISA TRANSACTIONS, 2019, 87 :28-33

[18] Advanced stability criteria for linear systems with time-varying delays [J].

Park, M. J. ;

Kwon, O. M. ;

Ryu, J. H. .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (01) :520-543

[19] Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems [J].

Park, PooGyeon ;

Lee, Won Il ;

Lee, Seok Young .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (04) :1378-1396

[20]

Pettersson S, 2005, 2005 IEEE INTERNATIONAL SYMPOSIUM ON INTELLIGENT CONTROL & 13TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1 AND 2, P18

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