String stability of infinite-dimension stochastic interconnected large-scale systems with time-varying delay

被引：6

作者：

Shi, Ji-Zhong ^{[1
,2
]}

Zhang, Ji-Ye ^{[2
]}

机构：

[1] Zhejiang Normal Univ, Coll Engn, Jinhua, Peoples R China

[2] Southwest Jiaotong Univ, Natl Tract Power Lab, Chengdu, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2014年 / 45卷 / 05期

关键词：

infinite-dimension; exponential string stability; stochastic interconnected large-scale systems; time-varying delay; EXPONENTIAL STABILITY; VEHICLES;

D O I：

10.1080/00207721.2012.744860

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The exponential string stability for a class of nonlinear interconnected large-scale systems with time-varying delay is analysed by using the box theory and constructing a vector Lyapunov function. Under the assumption that the time delay is bounded and continuous, a criterion for exponential string stability of the systems is obtained by analysing the stability of differential inequalities with time-varying delay. The large-scale system is exponential string stable when the conditions associating with the coefficient matrices of the system and the solutions of the Lyapunov equations, interconnected with the system, are satisfied. Since it is independent of the delays and simplifies the calculation, the criterion is easy to apply.

引用

页码：1035 / 1041

页数：7

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