Time-delay feedback control in a delayed dynamical chaos system and its applications

doi:10.1088/1674-1056/20/1/010207

Abstract The feedback control of a delayed dynamical system, which also includes various chaotic systems with time delays, is investigated. On the basis of stability analysis of a nonautonomous system with delays, some simple yet less conservative criteria are obtained for feedback control in a delayed dynamical system. Finally, the theoretical result is applied to a typical class of chaotic Lorenz system and Chua circuit with delays. Numerical simulations are also given to verify the theoretical results.

Keywords: chaotic system feedback control delayed dynamical system butterfly effect

Received: 26 January 2010
Revised: 02 September 2010
Accepted manuscript online:

PACS:	02.30.Ks	(Delay and functional equations)
	02.30.Yy	(Control theory)
	05.45.Gg	(Control of chaos, applications of chaos)

Fund: Project supported by the Natural Science Foundation of Chongqing City, China (Grant No. 2005BB8085) and the Chongqing Municipal Education Commission Project, China (Grant No. KJ080622).

Cite this article:

Ye Zhi-Yong(叶志勇), Yang Guang(杨珖),and Deng Cun-Bing(邓存兵) Time-delay feedback control in a delayed dynamical chaos system and its applications 2011 Chin. Phys. B 20 010207

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