时滞切换系统的时滞依赖稳定  

Delay-dependent stability of switched linear systems with time-delay

作　　者：罗正选[1] 张霄力[2] 

机构地区：[1]中国电信深圳市分公司,广东深圳518048 [2]厦门大学自动化系,福建厦门361005

出　　处：《控制理论与应用》2009年第1期89-91,共3页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60774033);福建省青年科技人才创新项目资金资助项目(2005J006);厦门大学985二期信息创新平台资助项目

摘　　要：首先利用多Lyapunov函数方法,分析常时滞切换系统的时滞依赖稳定性,并给出此系统时滞依赖稳定的充分条件及切换律的设计;然后运用共同Lyapunov函数方法,研究一类时变时滞切换系统的时滞依赖稳定性,也给出此系统时滞依赖稳定的充分条件及切换律的设计.所得结果均可用线性矩阵不等式方法求解.最后通过仿真验证了结论的正确有效性.First, the delay-dependent stability of switched linear systems with time-invariant delays is studied by using multiple Lyapunov function methods. The sufficient conditions of the delay-dependent stability and the design method of the switching law are developed. Then the stability of a class of switched systems with time-varying delays is analyzed by utilizing common Lyapunov function methods. The sufficient condition of the delay-dependent stability and the design method of the switching law are also determined. All results are obtained by using the linear-matrix-inequality method. The conclusions are proved to be valid by simulation.

关 键 词：时滞切换系统 时滞依赖稳定 常时滞 变时滞 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]