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Chinese Physics, 2001, Vol. 10(9): 796-804    DOI: 10.1088/1009-1963/10/9/305
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ON FEEDBACK CONTROL OF DELAYED CHAOTIC SYSTEM

Li Li-xiang (李丽香), Peng Hai-peng (彭海朋), Lu Hui-bin (卢辉斌), Guan Xin-ping (关新平)
Circuit and System Postgraduate, Yanshan University, Qinhuangdao 066004, China
Abstract  In this paper two different types of feedback control technique are discussed: the standard feedback control and the time-delay feedback control which have been successfully used in many control systems. In order to understand to what extent the two different types of control technique are useful in delayed chaotic systems, some analytic stabilization conditions for chaos control from the two types of control technique are derived ased on Lyapunov stabilization arguments. Similarly, we discuss the tracking problem by applying the time-delay feedback control. Finally, numerical examples are provided.
Keywords:  chaos control      stabilization      Lyapunov equation      feedback control  
Received:  11 November 2000      Revised:  22 March 2001      Accepted manuscript online: 
PACS:  05.45.Gg (Control of chaos, applications of chaos)  
  05.45.Pq (Numerical simulations of chaotic systems)  
  02.30.Yy (Control theory)  
Fund: Project supported by the Natural Science Foundation of Hebei Province, China (Grant No. 601226).

Cite this article: 

Li Li-xiang (李丽香), Peng Hai-peng (彭海朋), Lu Hui-bin (卢辉斌), Guan Xin-ping (关新平) ON FEEDBACK CONTROL OF DELAYED CHAOTIC SYSTEM 2001 Chinese Physics 10 796

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