Robust Stability and Stabilization for Uncertain Singular Time-delay Systems via Discretized Lyapunov Functional Approach

摘要：

This paper considers the problems of robust stability and stabilization for uncertain singular systems with time delay. A singular-type complete quadratic Lyapunov-Krasovskii functional (LKF) is introduced, which combines the discretization LKF method to give the linear matrix inequality (LMI) condition for the singular time-delay system to be regular, impulse free and asymptotically stable. The free weighting matrix approach contributes to decouple the system matrices from the Lyapunov function matrices. Based on the stability criterion, the robust stabilization problem is studied. Numerical examples are provided to demonstrate the application of the proposed method.

关键词： Singular time-delay system robust stability robust stabilization complete quadratic Lyapunov-Krasovskii functional discretized Lyapunov functional method

作者: Lili Liu Baowei Wu

作者单位: College of Mathematics andInformation Science, Shaanxi Normal University, Xian 710062 College of Mathematics and Information Science, Shaanxi Normal University, Xian 710062

会议类型: 国际会议

会议名称: The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)

会议地点: 太原

会议语种:英文

页码: 1139-1143

在线出版日期: 2012-05-23（万方平台首次上网日期，不代表论文的发表时间）