Exponential Stability Analysis for Linear Distributed Parameter Systems with Time-Varying Delay

被引：0

作者：

Guo Ling ^{[1
]}

Nian Xiaohong ^{[1
]}

Pan Huan ^{[1
]}

机构：

[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410075, Hunan, Peoples R China

来源：

2011 30TH CHINESE CONTROL CONFERENCE (CCC) | 2011年

关键词：

Distributed parameter systems; Time-delay; Exponential stability; Linear operator inequality; FUNCTIONAL-DIFFERENTIAL EQUATIONS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates exponential stability of time-delay distributed parameter systems in the Hilbert space. With the aid of delay decomposition methods, a novel Lyapunov-Krasovskii functional in the form of linear operator inequalities (LOIs) is proposed. Then, the sufficient conditions guaranteeing exponential stability of systems are obtained by the Lapunov-Krasovskii theory. Furthermore, our results are applied to the time-delay heat equation with the Dirichlet boundary condition. A numerical simulation to the heat equation is given to illustrate the effectiveness of the theoretical analysis.

引用

页码：980 / 985

页数：6

共 15 条

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