Existence and uniqueness of limit cycle for a class of nonlinear discrete-time systems

被引：14
|
作者：
Sun, Yeong-Jeu [1 ]
机构：
[1] I Shou Univ, Dept Elect Engn, Kaohsiung 840, Taiwan
来源：
CHAOS SOLITONS & FRACTALS | 2008年 / 38卷 / 01期
关键词：
D O I：
10.1016/j.chaos.2006.10.031
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the definition of the exponentially stable limit cycle for nonlinear discrete-time systems is firstly introduced. The limit cycle phenomenon for a class of nonlinear discrete-time systems is investigated. Using analytic method, the existence and uniqueness of limit cycle for such systems can be guaranteed. Besides, the exponentially stable limit cycles, the period of oscillation, and guaranteed convergence rate can be correctly estimated. Finally, a numerical example is provided to illustrate the use of the main result. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：89 / 96
页数：8
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