Parameter Dependent Delay Fractioning Based Lyapunov Functional for Stability of Time-Delay Systems with Polytopic-Type Uncertainties

摘要：

This paper investigates the robust stability of linear systems with time delay and polytopictype uncertainties. We first introduce a new delayfractioning based LyapunovKrasovskii functional for the time delay system without uncertainties. In this method, some effective relax variables are used to express the relationships among the system variables. As a result, the Lyapunov matrices are not involved in any product terms of the system matrices in the derivative of the Lyapunov functional. Then a parameter dependent Lyapunov functional is constructed with the delayfractioning technique for the uncertain system. Numerical examples are provided to illustrate the effectiveness of our main results.

作者: Min Zheng Shumin Fei

作者单位: Research Institute of Automation Southeast University Nanjing, Jiangsu,P.R.China 210096 College of Automation Southeast University Nanjing,Jiangsu,P.R.China 210096

会议类型: 国际会议

会议名称: Fourth International Conference on Impulsive and Hybrid Dynamical Systems(ICIHDS 2007)(第四届国际脉冲和混合动力系统学术会议)

会议地点: 南宁

会议语种:英文

在线出版日期: 2007-07-20（万方平台首次上网日期，不代表论文的发表时间）