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

doi:10.1088/1674-1056/19/9/090502

中国物理B ›› 2010, Vol. 19 ›› Issue (9): 90502-090502.doi: 10.1088/1674-1056/19/9/090502

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

马铁东, 浮洁, 孙跃

College of Automation, Chongqing University, Chongqing 400044, China

收稿日期:2009-12-14 修回日期:2010-01-27 出版日期:2010-09-15 发布日期:2010-09-15
基金资助:
Project supported by the Fundamental Research Funds for the Central Universities (Grant No. CDJZR10170002).

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

Ma Tie-Dong(马铁东)^†ger, Fu Jie(浮洁), and Sun Yue(孙跃)

College of Automation, Chongqing University, Chongqing 400044, China

Received:2009-12-14 Revised:2010-01-27 Online:2010-09-15 Published:2010-09-15
Supported by:
Project supported by the Fundamental Research Funds for the Central Universities (Grant No. CDJZR10170002).

摘要/Abstract

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.

Abstract: 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.

Key words: chaotic systems, robust lag synchronization, impulsive control, parametric uncertainty

中图分类号:

0545

马铁东, 浮洁, 孙跃. An improved impulsive control approach to robust lag synchronization between two different chaotic systems[J]. 中国物理B, 2010, 19(9): 90502-090502.

Ma Tie-Dong(马铁东), Fu Jie(浮洁), and Sun Yue(孙跃). An improved impulsive control approach to robust lag synchronization between two different chaotic systems[J]. Chin. Phys. B, 2010, 19(9): 90502-090502.

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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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