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Lyapunov函数与非线性切换系统的能控性
Lyapunov function and controllability of nonlinear switched systems
【摘要】 对一类全局一致渐近能控的非线性切换系统的控制Lyapunov函数(CLF)的存在性进行了研究,运用非光滑分析找到了系统存在公共控制Lyapunov函数的必要条件和充分条件.
【Abstract】 Existence of a control Lyapunov function for globally uniform asymptotically controllably switched systems is studied in this paper.From the use of nonsmooth analysis a necessary condition and sufficient condition for existence of a common control Lyapunov function for the systems is held.
【关键词】 Lyapunov函数;
能控性;
非线性切换系统;
【Key words】 Lyapunov function; controllability; nonlinear switched systems;
【Key words】 Lyapunov function; controllability; nonlinear switched systems;
【基金】 河南省自然科学基金项目(0611050400)
- 【文献出处】 中原工学院学报 ,Journal of Zhongyuan University of Technology , 编辑部邮箱 ,2007年03期
- 【分类号】O231.2
- 【下载频次】147