STABILITY ANALYSIS FOR STOCHASTIC NEUTRAL SWITCHED SYSTEMS WITH TIME-VARYING DELAY

被引:26
作者
Chen, Huabin [1 ]
Lim, Cheng-Chew [2 ]
Shi, Peng [2 ]
机构
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
[2] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia
基金
澳大利亚研究理事会;
关键词
neutral switched stochastic systems; time-varying delay; input-to-state stability; synchronous switching; asynchronous switching; TO-STATE STABILITY; STABILIZATION; CRITERIA; RAZUMIKHIN; KRASOVSKII; THEOREMS; SIGNALS;
D O I
10.1137/19M1307974
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 addresses the problems of the input-to-state stochastic stability for neutral switched stochastic delay systems. Two switching signals in the input controller, including the external input disturbance, are considered: (1) the synchronous switching signal, which indicates that the switching signal of the input controller coincides with that of the controlled subsystems, and (2) the asynchronous switching signal, which signifies that two switching instants for the input controller and the subsystem are not identical. Irrespective of which switching signal exists in the input controller and the subsystem, multiple Lyapunov-Krasovskii functions, generalized delay integral inequality, and mode-dependent average dwell time are incorporated to analyze the underlying problem. Sufficient conditions based on two integral inequalities are obtained for these two cases, respectively. Also new and more relaxed Lyapunov monotonicity conditions are introduced. One simulation example is provided to demonstrate the effectiveness of the theoretical results.
引用
收藏
页码:24 / 49
页数:26
相关论文
共 51 条
[1]  
[Anonymous], 2012, Continuous-time Markov Chains and Applications: A Singular Perturbation Approach
[2]   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
[3]   Input-to-State Stability and Inverse Optimality of Linear Time-Varying-Delay Predictor Feedbacks [J].
Cai, Xiushan ;
Bekiaris-Liberis, Nikolaos ;
Krstic, Miroslav .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (01) :233-240
[4]   Stability analysis of deterministic and Stochastic switched systems via a comparison principle and multiple Lyapunov functions [J].
Chatterjee, D ;
Liberzon, D .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2006, 45 (01) :174-206
[5]   Stability analysis for neutral stochastic delay systems with Markovian switching [J].
Chen, Huabin ;
Shi, Peng ;
Lim, Cheng-Chew .
SYSTEMS & CONTROL LETTERS, 2017, 110 :38-48
[6]   Stability of neutral stochastic switched time delay systems: An average dwell time approach [J].
Chen, Huabin ;
Shi, Peng ;
Lim, Cheng-Chew .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2017, 27 (03) :512-532
[7]   Exponential Stability for Neutral Stochastic Markov Systems With Time-Varying Delay and Its Applications [J].
Chen, Huabin ;
Shi, Peng ;
Lim, Cheng-Chew ;
Hu, Peng .
IEEE TRANSACTIONS ON CYBERNETICS, 2016, 46 (06) :1350-1362
[8]   Stabilization of hybrid neutral stochastic differential delay equations by delay feedback control [J].
Chen, Weimin ;
Xu, Shengyuan ;
Zou, Yun .
SYSTEMS & CONTROL LETTERS, 2016, 88 :1-13
[9]   Stability analysis and control for switched stochastic delayed systems [J].
Chen, Yun ;
Zheng, Wei Xing .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (02) :303-328
[10]  
do Valle Costa O.L., 2012, CONTINUOUS TIME MARK