An Extension of LaSalle’s Invariance Principle for Discontinuous systems
会议名称：《第24届中国控制与决策会议》
会议日期：2012年
学科分类：0711[理学-系统科学] 07[理学] 070104[理学-应用数学] 070201[理学-理论物理] 071101[理学-系统理论] 0701[理学-数学] 0702[理学-物理学]
基 金：supported by National Nature Science Foundation under Grant 60874006
关 键 词：Nonpathological Discontinuous Righthand Sides Invariance Principle
摘 要：In this paper, discontinuous righthand sides dynamical systems are considered. An extension of LaSalle invariance principle is presented by using locally Lipschitz continuous and nonpathological Lyapunnov functions. This result is used to locate chaotic attractors of studied systems, and less restrictive conditions are required. Numerical example has been given to illustrate the correctness of the theorem.