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一类离散时滞切换系统的稳定性分析
A class of discrete time-delay systems stability analysis of switching
【摘要】 对一类子系统含有离散时滞项的切换系统,研究了其渐近稳定的问题。通过引入一个矩阵,将受约束的二次型转换为不受约束的二次型,然后利用多Lyapunov函数法得出了这类切换系统渐近稳定的一个充分条件。最后通过一个仿真算例,验证了所得结论的正确性。
【Abstract】 the paper studied a convex combination condition of a sort of linear switched system with discrete time-delays.By introducing a matrix,quadratic form bound will be transformed into quadratic form which is not bound,then it obtain a convex combination condition of a sort of linear switched system by using multiple lyapunov function.Finally,a numerical example shows the validity of the conclusion.
【关键词】 李雅普诺夫函数;
时滞;
线性矩阵不等式;
切换系统;
稳定性分析;
【Key words】 Lyapunov functions; Time-delay; Liner matrix inequalities; Switched systems; Staybility Analysis;
【Key words】 Lyapunov functions; Time-delay; Liner matrix inequalities; Switched systems; Staybility Analysis;
- 【文献出处】 微计算机信息 ,Microcomputer Information , 编辑部邮箱 ,2012年09期
- 【分类号】TP13
- 【被引频次】4
- 【下载频次】72