W-Stability of Multistable Nonlinear Discrete-Time Systems

被引：0

作者：

Ding, Zhishuai ^{[1
]}

Cheng, Guifang ^{[1
,2
]}

Mu, Xiaowu ^{[1
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Hennan, Peoples R China

[2] Zhengzhou Univ, Phys Engn Coll, Zhengzhou 450001, Hennan, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2012年 / 2012卷

关键词：

CONVERSE LYAPUNOV THEOREM; FEEDBACK;

D O I：

10.1155/2012/418091

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motivated by the importance and application of discrete dynamical systems, this paper presents a new Lyapunov characterization which is an extension of conventional Lyapunov characterization formultistable discrete-time nonlinear systems. Based on a new type stability notion of W-stability introduced by D. Efimov, the estimates of solution and the Lyapunov stability theorem and converse theorem are proposed for multi-stable discrete-time nonlinear systems.

引用

页数：11

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