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离散脉冲系统稳定性分析及在混沌同步中应用 被引量：2

The stability analysis of discrete impulsive systems and its applications to chaos synchronization
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摘要 提出了离散脉冲系统模型,通过分析离散脉冲系统的稳定性,得到了一类拟线性离散脉冲系统全局渐近稳定的充分条件;由此为Lur′e型离散混沌系统的同步提出了一种新的同步方法———离散脉冲同步方法,实现了这类Lur′e型混沌系统的全局同步.以Henon映射混沌系统为例,对所得结论加以验证与仿真实验. Given is the model of discrete impulsive system and derived are the sufficient conditions under which a class of quasi-linear discrete impulsive system is globally asymptotically stable. On the ba sis of these stability criteria, the discrete impulsive synchronization, which is a new method for chaos synchronization, is given for the chaotic synchronization of the Lur＇e-type discrete chaotic systems. The case of the Henon chaotic system is given to illustrate the obtained results.
作者 刘斌 刘芳贻 李素兰
机构地区 华中科技大学控制科学与工程系 中国科技大学数学系
出处 《华中科技大学学报（自然科学版）》 EI CAS CSCD 北大核心 2006年第5期99-101,共3页 Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金 中国博士后基金资助项目(2003034485) 湖南省教育厅优秀青年资助项目(04B068)
关键词 离散脉冲系统 全局渐近稳定 混沌同步 Lur’e型离散混沌系统 discrete impulsive systems global asymptotical stability chaos synchronization Lur＇e-type discrete chaotic systems
分类号 TP18 [自动化与计算机技术—控制理论与控制工程]
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共引文献4

同被引文献23

  • 1楼京俊,朱石坚,何琳.混沌隔振方法研究[J].船舶力学,2006,10(5):135-141. 被引量：7
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  • 3[2]Park J H.Controlling chaotic systems via nonlinear feedback control[J].Chaos,Solitons & Fractals,2005,23:1049-1054.
  • 4[3]Chen S H,Lü J H.Synchronization of an uncertain unified chaotic system via adaptive control[J].Chaos,Solitons & Fractals,2002,14:643-647.
  • 5[6]Lü J H,Zhou T S,Zhang S C.Chaos synchronization between linearly coupled chaotic systems[J].Chaos,Solitons & Fractals,2002,14:529-541.
  • 6[7]Chen S,Yang Q,Wang C.Impulsive control and synchronization of unified chaotic system[J].Chaos,Solitons & Fractals,2004,20:751-758.
  • 7[8]Han X,Lu J A,Wu X.Adaptive feedback synchronization of Lü system[J].Chaos,Solitons & Fractals,2004,22:221-227.
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  • 9[10]Sun J,Zhang Y.Some simple global synchronization criterion for coupled time-varying chaotic systems[J].Chaos,Solitons & Fractals,2004,19:93-98.
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华中科技大学学报（自然科学版）
2006年 第5期

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