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Chin. Phys. B, 2011, Vol. 20(2): 020506    DOI: 10.1088/1674-1056/20/2/020506
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Stochastic impulsive control for the stabilization of Lorenz system

Wang Lianga, Xu Weia, Zhang Yinga, Zhao Ruib
a Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China; b Department of Mathematics, Shangluo University, Shangluo 726000, Shaanxi Province, China
Abstract  This paper derives some sufficient conditions for the stabilization of Lorenz system with stochastic impulsive control. The estimate of the upper bound of impulse interval for asymptotically stable control is obtained. Some differences between the system with stochastic impulsive control and with deterministic impulsive control are presented. Computer simulation is given to show the effectiveness of the proposed method.
Keywords:  Lorenz system      stochastic impulsive control      stabilization  
Received:  22 October 2009      Revised:  25 August 2010      Published:  15 February 2011
PACS:  05.45.Gg (Control of chaos, applications of chaos)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10872165).

Cite this article: 

Wang Liang, Zhao Rui, Xu Wei, Zhang Ying Stochastic impulsive control for the stabilization of Lorenz system 2011 Chin. Phys. B 20 020506

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