STRUCTURED ROBUST STABILITY AND BOUNDEDNESS OF NONLINEAR HYBRID DELAY SYSTEMS

被引：39
|
作者：
Fei, Weiyin [1 ]
Hu, Liangjian [2 ]
Mao, Xuerong [3 ]
Shen, Mingxuan [1 ,4 ]
机构：
[1] Anhui Polytech Univ, Sch Math & Phys, Wuhu 241000, Anhui, Peoples R China
[2] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
[3] Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Lanark, Scotland
[4] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2018年 / 56卷 / 04期
基金：
英国工程与自然科学研究理事会;
关键词：
hybrid SDDEs; robust stability; robust boundedness; Brownian motion; Markov chain; JUMP LINEAR-SYSTEMS; FEEDBACK-CONTROL; EQUATIONS; RADII;
D O I：
10.1137/17M1146981
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Taking different structures in different modes into account, the paper has developed a new theory on the structured robust stability and boundedness for nonlinear hybrid stochastic differential delay equations (SDDEs) without the linear growth condition. A new Lyapunov function is designed in order to deal with the effects of different structures as well as those of different parameters within the same modes. Moreover, a lot of effort is put into showing the almost sure asymptotic stability in the absence of the linear growth condition.
引用
收藏
页码：2662 / 2689
页数：28
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