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Stochastic impulsive control for the stabilization of Lorenz system
Authors:Wang Liang  Zhao Rui  Xu Wei and Zhang Ying
Affiliation:Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China; 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:stabilization  Lorenz system  stochastic impulsive control
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