Time-delayed feedback control of time-delay chaotic systems

被引：69

作者：

Guan, XP ^{[1
]}

Chen, CL ^{[1
]}

Peng, HP ^{[1
]}

Fan, ZP ^{[1
]}

机构：

[1] Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2003年 / 13卷 / 01期

基金：

中国国家自然科学基金;

关键词：

time-delayed feedback; time-delay chaotic system; chaotic control;

D O I：

10.1142/S021812740300642X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper addresses time-delayed feedback control (DFC) of time-delay chaotic systems. To extend the DFC approach to time-delay chaotic system, alter having been successfully used in chaotic systems without time-delays, the standard feedback control (SFC) method is firstly employed to show the main control technique in this paper based on one error control system. Then sufficient conditions for stabilization and tracking problems via DFC are derived from the results based on SFC. Also, the systematic and analytic controller design method can be obtained to stabilize the system to an unstable fixed point and to tracking an unstable periodic orbit, respectively. Some numerical examples are provided to demonstrate the effectiveness of the presented method.

引用

页码：193 / 205

页数：13

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