Piecewise Smooth Lyapunov Function for a Nonlinear Dynamical System

被引：0
|
作者：
Gao, Yan [1 ]
机构：
[1] Univ Shanghai Sci & Technol, Sch Management, Shanghai 200093, Peoples R China
来源：
JOURNAL OF CONVEX ANALYSIS | 2012年 / 19卷 / 04期
关键词：
Nonlinear dynamical system; stability; region of attraction; Lyapnov functions; nonsmooth analysis; piecewise smooth function; STABILIZATION; STABILITY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, stability and attraction for a nonlinear dynamical system with nonsmooth Lyapunov functions are studied. The previous results on stability and attraction with a max-type Lyapunov function are extended to the case where Lyapunov function is piecewise smooth. A condition, under which stability and attraction are guaranteed with a piecewise smooth Lyapunov function, is proposed. Taking two certain classes of piecewise smooth functions as Lyapunov functions, related conditions for stability and attraction are developed.
引用
收藏
页码：1009 / 1015
页数：7
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