Improvements of LaSalle＇s Theorem

• 作 者: 马中华 冀书关
• 机 构: InstituteofMathematics
• 出 处: 东北数学：英文版
• 发表日期: 2006年4期
• 关键词: LaSalle不变性定理 渐进稳定性 有界性 LYAPUNOV函数 改进 LaSalle＇s theorem Lyapunov function ItSs
• 基金项目: The 985 Project of Jilin University and Graduate Innovation Lab of Jilin University.Acknowledgement The authors express their sincere thanks to Prof. Li Yong for his instructions and encouragement.

<正> In this paper,we improve LaSalle's invariance theorem based on Li'swork(Li Yong,Asymptotic stability and ultimate boundedness,Northeast.Math.J.,6(1)(1990),53-59)by relaxing the restrictions,which make the theorem moreeasy to apply.In add