Stability Analysis of Switched Delay Systems with All Subsystems Unstable

被引:20
作者
Wang, Qingzhi [1 ]
Sun, Haibin [1 ]
Zong, Guangdeng [1 ]
机构
[1] Qufu Normal Univ, Sch Engn, Rizhao 276826, Peoples R China
基金
中国国家自然科学基金;
关键词
Asymptomatic stability; multiple discretized Lyapunov-Krasovskii functionals; switched delay systems; unstable subsystems; TIME-VARYING DELAY; OUTPUT-FEEDBACK CONTROL; H-INFINITY CONTROL; NEURAL-NETWORKS; HYBRID SYSTEMS; STABILIZATION;
D O I
10.1007/s12555-015-0052-9
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The stability problem of switched delay systems with all subsystems unstable is investigated in this paper. A sufficient criterion is firstly proposed to guarantee asymptomatic stability of nonlinear switched delay systems with all subsystems unstable, where the stabilization property of switching behaviors is exploited to compensate the divergence of states. Then by constructing multiple discretized Lyapunov-Krasovskii functionals, stability criteria are developed for linear switched time-invariant and time-varying delay systems with all subsystems unstable. Finally, two examples are provided to illustrate the feasibility, superiority and application of the proposed approach.
引用
收藏
页码:1262 / 1269
页数:8
相关论文
共 25 条
[1]  
[Anonymous], 2010, SWITCHED TIME DELAY
[2]   Robust stability criteria for discrete-time switched neural networks with various activation functions [J].
Arunkumar, A. ;
Sakthivel, R. ;
Mathiyalagan, K. ;
Anthoni, S. Marshal .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (22) :10803-10816
[3]   Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].
Branicky, MS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482
[4]  
Ghadiri H, 2014, INT J CONTROL AUTOM, V12, P1167, DOI [10.1007/s12555-013-0487-9, 10.1007/s12555-013-0524-8]
[5]   Stability of a class of linear switching systems with time delay [J].
Kim, S ;
Campbell, SA ;
Liu, XZ .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2006, 53 (02) :384-393
[6]   Extended Dissipative Analysis for Neural Networks With Time-Varying Delays [J].
Lee, Tae H. ;
Park, Myeong-Jin ;
Park, Ju H. ;
Kwon, Oh-Min ;
Lee, Sang-Moon .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2014, 25 (10) :1936-1941
[7]   State Estimation for Genetic Regulatory Networks With Mode-Dependent Leakage Delays, Time-Varying Delays, and Markovian Jumping Parameters [J].
Lee, Tae H. ;
Lakshmanan, S. ;
Park, Ju H. ;
Balasubramaniam, P. .
IEEE TRANSACTIONS ON NANOBIOSCIENCE, 2013, 12 (04) :363-375
[8]   Hybrid systems in process control [J].
Lennartson, B ;
Tittus, M ;
Egardt, B ;
Pettersson, S .
IEEE CONTROL SYSTEMS MAGAZINE, 1996, 16 (05) :45-56
[9]   Stability and stabilization of a class of switched nonlinear systems with time-varying delay [J].
Liu, Shilong ;
Xiang, Zhengrong ;
Chen, Qingwei .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (23) :11534-11546
[10]   Sliding Mode Control for Uncertain Switched Systems Subject to Actuator Nonlinearity [J].
Liu, Yonghui ;
Niu, Yugang ;
Zou, Yuanyuan .
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2014, 12 (01) :57-62