On the stabilization of periodic orbits for discrete time chaotic systems by using scalar feedback

被引：2
|
作者：
Morgul, Oemer [1 ]
机构：
[1] Bilkent Univ, Dept Elect Engn, TR-06800 Ankara, Turkey
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2007年 / 17卷 / 12期
关键词：
chaotic systems; chaos control; delayed feedback; Pyragas controller;
D O I：
10.1142/S0218127407020099
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider the stabilization problem of unstable periodic orbits of discrete time chaotic systems by using a scalar input. We use a simple periodic delayed feedback law and present some stability results. These results show that all hyperbolic periodic orbits as well as some nonhyperbolic periodic orbits can be stabilized with the proposed method by using a scalar input, provided that some controllability or observability conditions are satisfied. The stability proofs also lead to the possible feedback gains which achieve stabilization. We will present some simulation results as well.
引用
收藏
页码：4431 / 4442
页数：12
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