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
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
收藏
页码:215 / 224
页数:10
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