STRUCTURED ROBUST STABILITY AND BOUNDEDNESS OF NONLINEAR HYBRID DELAY SYSTEMS

被引：40

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

页码：2662 / 2689

页数：28

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