The existence of the exponentially stable limit cycle for a class of nonlinear systems

被引：1

作者：

Sun, Yeong-Jeu ^{[1
]}

机构：

[1] I Shou Univ, Dept Elect Engn, Kaohsiung 840, Taiwan

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 39卷 / 05期

关键词：

ELECTRIC-POWER SYSTEM; PREDATOR-PREY SYSTEM; VOLTAGE COLLAPSE; FEEDBACK; BIFURCATIONS;

D O I：

10.1016/j.chaos.2007.07.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the exponentially stable limit cycle phenomenon for it class of nonlinear systems is investigated. Based on the analytic method, the existence and uniqueness of the exponentially stable limit cycle for such systems can be guaranteed. Moreover, the amplitude of oscillation, the period of oscillation. and guaranteed convergence rate cart be correctly estimated. Finally, two numerical examples are provided to illustrate the use of the main result. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2357 / 2362

页数：6

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