On input-to-state stability of stochastic nonlinear systems with Markovian jumping parameters

被引：24

作者：

Zhao, Ping ^{[1
]}

Kang, Yu ^{[2
]}

Zhai, Dihua ^{[2
]}

机构：

[1] Univ Jinan, Sch Elect Engn, Jinan 250022, Peoples R China

[2] Univ Sci & Technol China, Dept Automat, Hefei 230027, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2012年 / 85卷 / 04期

关键词：

stochastic nonlinear system; Markovian jump parameter; stochastic input-to-state stability; e(lambda t)-weighted (integral); input-to-state stability; DIFFERENTIAL-DELAY EQUATIONS; STABILIZATION; CONTROLLABILITY; NOISE;

D O I：

10.1080/00207179.2011.651749

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, the input-to-state stability (ISS) properties of stochastic nonlinear systems with Markovian jump parameters are considered. Firstly, the notions of stochastic ISS, e(lambda t)-weighted (integral) ISS in mean and in the pth mean are introduced. Then by the Lyapunov-like function method, some corresponding criteria are provided. Lastly, a simulation example is provided to illustrate the effectiveness of our results.

引用

页码：343 / 349

页数：7

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