Stochastic impulsive control for the stabilization of Lorenz system

doi:10.1088/1674-1056/20/2/020506

中国物理B ›› 2011, Vol. 20 ›› Issue (2): 20506-020506.doi: 10.1088/1674-1056/20/2/020506

Stochastic impulsive control for the stabilization of Lorenz system

王亮¹, 徐伟¹, 张莹¹, 赵锐²

(1)Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China; (2)Department of Mathematics, Shangluo University, Shangluo 726000, Shaanxi Province, China

收稿日期:2009-10-22 修回日期:2010-08-25 出版日期:2011-02-15 发布日期:2011-02-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10872165).

Stochastic impulsive control for the stabilization of Lorenz system

Wang Liang(王亮)^a)†, Zhao Rui(赵锐)^b), Xu Wei(徐伟)^a), and Zhang Ying(张莹)^a)

^a Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China; ^b Department of Mathematics, Shangluo University, Shangluo 726000, Shaanxi Province, China

Received:2009-10-22 Revised:2010-08-25 Online:2011-02-15 Published:2011-02-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10872165).

摘要/Abstract

摘要： 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.

关键词: stabilization, Lorenz system, stochastic impulsive control

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.

Key words: stabilization, Lorenz system, stochastic impulsive control

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

王亮, 赵锐, 徐伟, 张莹. Stochastic impulsive control for the stabilization of Lorenz system[J]. 中国物理B, 2011, 20(2): 20506-020506.

Wang Liang(王亮), Zhao Rui(赵锐), Xu Wei(徐伟), and Zhang Ying(张莹) vgluept . Stochastic impulsive control for the stabilization of Lorenz system[J]. Chin. Phys. B, 2011, 20(2): 20506-020506.

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Stochastic impulsive control for the stabilization of Lorenz system

Stochastic impulsive control for the stabilization of Lorenz system

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