A simple approach to calculation and control of unstable periodic orbits in chaotic piecewise-linear systems

被引：4

作者：

Ueta, T ^{[1
]}

Chen, GR

Kawabe, T

机构：

[1] Univ Tokushima, Dept Informat Sci, Tokushima 7708506, Japan

[2] Univ Houston, Houston, TX 77204 USA

[3] Univ Tsukuba, Inst Informat Sci & Electr, Tsukuba, Ibaraki 3058573, Japan

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2001年 / 11卷 / 01期

关键词：

D O I：

10.1142/S0218127401002092

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper describes a simple method for calculating unstable periodic orbits (UPOs) and their control in piecewise-linear autonomous systems. The algorithm can be used to obtain any desired UFO embedded in a chaotic attractor, and the UFO can be stabilized by a simple state feedback control. A brief stability analysis of the controlled system is also given.

引用

页码：215 / 224

页数：10

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