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Modified impulsive synchronization of fractional order hyperchaotic systems

ISSN号：1674-1056
期刊名称：《中国物理B：英文版》
时间：0
分类：O415.5[理学—理论物理;理学—物理] TN919.34[电子电信—通信与信息系统;电子电信—信息与通信工程]
作者机构：[1]Key Laboratory of Optoelectronic Technology and System, Ministry of Education, College of Optoelectronic Engineering, Chongqing University, Chongqing 400044, China, [2]College of Automation, Chongqing University, Chongqing 400044, China
相关基金：Project supported by the National Natural Science Foundation of China （Grant Nos. 50830202 and 51073179）, the Natural Science Foundation of Chongqing, China （Grant No. CSTC 2010BB2238）, the Doctoral Program of Higher Education Foundation of Institutions of China （Grant Nos. 20090191110011 and 20100191120025）, the Natural Science Foundation for Postdoctoral Scientists of China （Grant Nos. 20100470813 and 20100480043）, and the Fundamental Research Funds for the Central Universities （Grant Nos. CDJZR11 12 00 03 and CDJZR11 12 88 01）.

关键词：超混沌系统, 脉冲同步, LYAPUNOV稳定性理论, 分数阶, 修改, 脉冲微分方程, 控制计划, 误差系统, hyperchaotic systems, fractional order chaotic systems, synchronization, impulsive control

中文摘要：

In this paper,a modified impulsive control scheme is proposed to realize the complete synchronization of fractional order hyperchaotic systems.By constructing a suitable response system,an integral order synchronization error system is obtained.Based on the theory of Lyapunov stability and the impulsive differential equations,some effective sufficient conditions are derived to guarantee the asymptotical stability of the synchronization error system.In particular,some simpler and more convenient conditions are derived by taking the fixed impulsive distances and control gains.Compared with the existing results,the main results in this paper are practical and rigorous.Simulation results show the effectiveness and the feasibility of the proposed impulsive control method.

英文摘要：

In this paper, a modified impulsive control scheme is proposed to realize the complete synchronization of fractional order hyperchaotic systems. By constructing a suitable response system, an integral order synchronization error system is obtained. Based on the theory of Lyapunov stability and the impulsive differential equations, some effective sufficient conditions are derived to guarantee the asymptotical stability of the synchronization error system. In particular, some simpler and more convenient conditions are derived by taking the fixed impulsive distances and control gains. Compared with the existing results, the main results in this paper are practical and rigorous. Simulation results show the effectiveness and the feasibility of the proposed impulsive control method.

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