Stochastic Incremental Input-to-State Stability of Nonlinear Switched Systems with Brownian Motions

被引：2
|
作者：
Ren, Yuanhong [1 ]
Wang, Weiqun [2 ]
Zhou, Weisong [3 ]
Shen, Mingxuan [4 ]
机构：
[1] Hebei Agr Univ, Coll Sci, Baoding 071001, Peoples R China
[2] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Peoples R China
[3] Chongqing Univ Posts & Telecommun, Key Lab Intelligent Anal & Decis Complex Syst, Chongqing 400065, Peoples R China
[4] Anhui Polytech Univ, Sch Math & Phys, Wuhu 241000, Peoples R China
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2021年 / 40卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Nonlinear stochastic switched systems; Stochastic incremental input-to-state stability; (Reverse) mode-dependent average dwell time; Feedback interconnected switched systems; H-INFINITY CONTROL; STABILIZATION;
D O I：
10.1007/s00034-020-01574-9
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, (reverse) mode-dependent average dwell time (MDADT) method combined with multiple incremental Lyapunov functions is utilized to investigate the stochastic incremental input-to-state stability (SIISS) of stochastic switched systems. The sufficient conditions in terms of the (reverse) MDADT scheme are extracted to ensure SIISS, while it is shown that the SIISS can still be achieved even if all subsystems are not stochastically incrementally input-to-state stable. In particular, an incremental supply rate is introduced to obtain sufficient conditions to ensure SIISS for stochastic feedback interconnected switched systems. Specifically, when the stochastic switched systems are composed of some SIISS and non-SIISS subsystems, the (reverse) MDADT method is employed to establish a relationship between these two kinds of subsystems to ensure SIISS for the stochastic switched systems. Two examples are presented to demonstrate the effectiveness of the results.
引用
收藏
页码：2242 / 2266
页数：25
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