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一个新超混沌系统的脉冲修正投影同步 被引量:2

Impulsive Control and Modified Projective Synchronization of a New Hyperchaotic System
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摘要 考虑一个新超混沌系统的脉冲控制与修正投影同步,基于脉冲控制系统的稳定性理论,给出了脉冲修正投影同步的充分判据,由定理易知当同步比例因子α1,α2,α3,α4满足α21=1,α2=α1a3时所给同步方法无需添加控制器U,所以此方法可以看做是脉冲完全同步的推广. The impulsive control and modified projective synchronization of a new hyperchaotic system is investigated in this paper .Applying the impulsive theory ,some sufficient conditions for its asymptotic sta-bility via impulsive control are derived .It is easy to see by Theorem that if the scaling factors α1 ,α2 ,α3 ,α4 satisfied α21=1,α2=α1α3 ,then systems will achieve modified projective synchronization without con-trollers,which implies that the proposed synchronized method can be regarded as the generalization of the complete synchronization via impulsive control .
作者 程杰 张兰
出处 《湖北民族学院学报(自然科学版)》 CAS 2015年第2期133-135,138,共4页 Journal of Hubei Minzu University(Natural Science Edition)
基金 重庆市自然科学基金项目(2011jj A00003)
关键词 超混沌系统 脉冲控制 修正投影同步 hyperchaotic system impulsive control modified projective synchronization
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参考文献9

  • 1Yang T, Yang L B, Yang C M. Impulsive synchronization of Lorenz systems [ J ].Phys Lett A, 1997,226 ( 6 ) : 349- 354.
  • 2罗润梓.一个新混沌系统的脉冲控制与同步[J].物理学报,2007,56(10):5655-5660. 被引量:11
  • 3Zhao Y H, Yang Y Q.The impulsive control synchronization of the drive-response comples system [ J ].Physics Letters A, 2008,372:7165-7171.
  • 4Liu G M, Ding W. Impulsive synchronization for a chaotic system with channel time delay [ J ]. Commun Nonlinear Sci Numer Simulat, 2011,16 : 958 -965.
  • 5孙继涛,吴启迪.Lur’e系统稳定与同步的脉冲控制[J].应用数学和力学,2004,25(3):291-296. 被引量:12
  • 6Li G H. Modified projective synchronization of chaotic system [ J 1.Chaos Solitons Fractals, 2007,32 : 1786-1790.
  • 7刘明华,冯久超.一个新的超混沌系统[J].物理学报,2009,58(7):4457-4462. 被引量:44
  • 8Lakshmikantham V, Bainov D D, Simeonov P S.Theory of Impulsive Differential Equations[ M] .Singapore:World Scientific, 1989.
  • 9Sun J T, Zhang Y P, Wu Q D.Less conservative conditions for asymptotic stability of impulsive control systems [ J ]. IEEE Trans Automatic Contr, 2003,48 ( 5 ) : 829 - 831.

二级参考文献57

  • 1龚礼华.基于自适应脉冲微扰实现混沌控制的研究[J].物理学报,2005,54(8):3502-3507. 被引量:17
  • 2王光义,郑艳,刘敬彪.一个超混沌Lorenz吸引子及其电路实现[J].物理学报,2007,56(6):3113-3120. 被引量:53
  • 3王兴元,王明军.超混沌Lorenz系统[J].物理学报,2007,56(9):5136-5141. 被引量:87
  • 4Lakshmikantham V, Bainov D D, Simeonov P S. Theory of Impulsive Differential Equations [ M ].Singapore: World Scientific, 1989.
  • 5Samoilenko A M, Perestyuk N A. Imtmisive Differential Equations[ M]. Singapore: World Scientific,1995.
  • 6Yang T. Impulsive control[J]. IEEE Trans Automat Contr, 1999,44 ( 5 ) : 1081- 1083.
  • 7Schweizer J, Kennedy M P. Predictive Poincare control: A control theory for chaotic systems [ J ].Phys Rev E, 1995,52(5) :4865-4867.
  • 8Hunt E R,Johnson G. Keeping chaos at bay[ J]. IEEE Spectrum, 1993,30( 11 ):32-36.
  • 9Stojanovski T, Kocarev L, Parlitz U. Driving and synchronizing by chaotic impulses[ J ]. Phys Rev E,1996,43(9) :782-785.
  • 10Yang T,Yang L B,Yang C M. Impulsive synchronization of Lorenz systems [J] .Phys Lett A, 1997,226(6) :349-354.

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