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A unified approach for impulsive lag synchronization of chaotic systems with time delay
Affiliation:1. Department of Applied Mathematics, China University of Petroleum, Qingdao 266580, PR China;2. Laboratório Nacional de Computação Científica, MCTI, Avenida Getúlio Vargas 333, 25651–075 Petrópolis, RJ, Brazil;3. School of Mathematics, Shenyang Normal University, Shenyang 110034, PR China;1. Science Computing and Intelligent Information Processing of GuangXi higher education key laboratory, Guangxi Teachers Education University, Nanning, Guangxi, 530023, China;2. College of Computer and Information Engineering Guangxi Teachers Education University, Nanning, Guangxi, 530023, China;3. Department of Radiology and BRIC, the University of North Carolina at Chapel Hill, USA;1. Department of Mathematics, Mirpur University of Science and Technology, Mirpur 10250 AJK, Pakistan;2. Deparment of Computer Engineering, Biruni University, Istanbul, Turkey;3. Firat University, Science Faculty, Department of Mathematics, Elazig 23119, Turkey;4. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan;5. Department of Computer Engineering Sharif University of Technology Tehran, Iran;6. Department of Mathematics, Lafayette College, Easton, Pennsylvania, USA
Abstract:In this paper, we propose a unified approach for impulsive lag-synchronization of a class of chaotic systems with time delay by employing the stability theory of impulsive delayed differential equations. Three well-known delayed chaotic systems are presented to illustrate our results. Also, the estimates of the stable regions for these systems are given, respectively.
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