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An improved impulsive control approach to robust lag synchronization between two different chaotic systems

An improved impulsive control approach to robust lag synchronization between two different chaotic systems
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摘要 In this paper, a novel robust impulsive lag synchronization scheme for different chaotic systems with parametric uncertainties is proposed. Based on the theory of impulsive functional differential equations and a new differential inequality, some new and less conservative sufficient conditions are established to guarantee that the error dynamics can converge to a predetermined region. Finally, some numerical simulations for the Lorenz system and Chen system are given to demonstrate the effectiveness and feasibility of the proposed method. Compared with the existing results based on so-called dual-stage impulsive control, the derived results reduce the complexity of impulsive controller, moreover, a larger stable region can be obtained under the same parameters, which can be shown in the numerical simulations finally. In this paper, a novel robust impulsive lag synchronization scheme for different chaotic systems with parametric uncertainties is proposed. Based on the theory of impulsive functional differential equations and a new differential inequality, some new and less conservative sufficient conditions are established to guarantee that the error dynamics can converge to a predetermined region. Finally, some numerical simulations for the Lorenz system and Chen system are given to demonstrate the effectiveness and feasibility of the proposed method. Compared with the existing results based on so-called dual-stage impulsive control, the derived results reduce the complexity of impulsive controller, moreover, a larger stable region can be obtained under the same parameters, which can be shown in the numerical simulations finally.
机构地区 College of Automation
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第9期226-232,共7页 中国物理B(英文版)
基金 supported by the Fundamental Research Funds for the Central Universities (Grant No.CDJZR10170002)
关键词 chaotic systems robust lag synchronization impulsive control parametric uncertainty chaotic systems, robust lag synchronization, impulsive control, parametric uncertainty
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参考文献29

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