Robust finite-time stabilization of unified chaotic complex systems with certain and uncertain parameters

doi:10.1088/1674-1056/22/7/070501

Abstract This paper deals with the finite-time stabilization of the unified chaotic complex systems with known and unknown parameters. Based on the finite-time stability theory, the nonlinear control laws are presented to achieve finite-time chaos control of the determined and uncertain unified chaotic complex systems, respectively. The two controllers are simple and one of the uncertain unified chaotic complex systems is robust. For the design of finite-time controller on uncertain unified chaotic complex systems, only part of all unknown parameters are required to be bounded. Simulation results for the chaotic complex Lorenz, Lü and Chen systems are presented to validate the design and the analysis.

Keywords: finite-time stability uncertain parameters unified chaotic complex systems

Received: 21 August 2012
Revised: 22 October 2012
Accepted manuscript online:

PACS:	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Jn	(High-dimensional chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 60874009 and 10971120) and the Natural Science Foundation of Shandong province, China (Grant No. ZR2010FM010).

Corresponding Authors: Liu Ping
E-mail: pingliu@mail.sdu.edu.cn

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Liu Ping (刘平) Robust finite-time stabilization of unified chaotic complex systems with certain and uncertain parameters 2013 Chin. Phys. B 22 070501

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Robust finite-time stabilization of unified chaotic complex systems with certain and uncertain parameters

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