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.
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页数：11
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