期刊文献+

一类非线性环链系统的混沌反控制 被引量:1

The Chaotic Anti-Control of Nonlinear Circle-Linked System
原文传递
导出
摘要 针对一类系统—非线性环链系统,利用非线性反馈控制的方法,研究了该系统的混沌反控制问题.该方法不需计算Lyapunov函数,从而降低了混沌反控制的计算量.仿真结果表明了该系统可快速有效地跟踪给定的混沌系统,充分的显示了该系统的优势. According to a new the nonlinear feedback to study the system--nonlinear circle-linked, problem of chaotic anti-control design the controller through .The proposed method need not estimate the Lyapunov function of the chaotic system, and can dra-matically reduce the compu- tation. Numerical simulations show the nonlinear circle-linked system can track the given chaotic system fast and efficiently, fully demonstrated the superiority of the nonlinear circle- linked system.
出处 《生物数学学报》 CSCD 北大核心 2010年第1期81-87,共7页 Journal of Biomathematics
关键词 环链系统 非线性系统 混沌 反控制 Circle-linked system Nonlinear system Chaos Anti-control
  • 相关文献

参考文献15

  • 1刘保政,刘德宝,高立群.供不应求季节性商品的价格控制和生产销售决策模型[J].东北大学学报(自然科学版),2005,26(11):1040-1043. 被引量:4
  • 2何泽荣,王绵森,王峰.一类可再生资源系统的最优动态平衡收获[J].应用数学和力学,2004,25(4):433-440. 被引量:5
  • 3Hanson F B, Ryan D. Optimal harvesting with both population and price dynamics[J]. Mathematical Biosciences, 1998, 148(2):129-146.
  • 4Armstrong C W, Skonhoft A. Marine reserves: a bio-economic model with asymmetric density dependent migration[J] .Ecological Econmomics, 2006, 57(3):466-476.
  • 5Yuechao Ma, Qingling Zhang, Xuefeng Zhang. Decentralized output feedback robust control for a class of uncertain nonlinear circle-linked large-scale systems [J]. International Journal of Information and Systems Sciences, 2006, 2(1):20-30.
  • 6马跃超,张庆灵,童松.不确定非线性环链系统的分散鲁棒控制[J].控制理论与应用,2007,24(2):229-235. 被引量:2
  • 7Ott E, Grebogi C, Yorke J A. Controlling chaos [J]. Physical Review Letters, 1990, 64(11):1196-1199.
  • 8C Wang, SS Ge, Adaptive synchronization of uncertain chaotic systems via backstepping design [J]. Chaos, Solitons & Fractals, 2001, 12(7):1199-1206.
  • 9Chen G R, Yu X H. On time-delayed feedback control of chaotic systems[J]. IEEE Truns Circuits Syst I, 1999, 46(6):767-772.
  • 10Huberman B A, Lumer E. Dynamics of adaptive systems [J]. IEEE Trans Circuits and systems, 1990, 37(4):547-550.

二级参考文献51

共引文献55

同被引文献9

  • 1陈宁,张世富.具时滞Gilpin-Ayala型L-V系统产生多周期解和Hopf分支现象的条件[J].生物数学学报,2006,21(2):209-215. 被引量:4
  • 2Hirata H,Yoshiura S,Ohtsuka T,et al.Oscillatory expression of the bHLH factor Hesl regulated by a negative feedback loop[J].Science,2002,298(5594):840-843.
  • 3Monk N A.Oscillatory expression of HES1,p53,and NF-κB driven by transcriptional time delays[J].Current Biology,2003,13(16):1409-1413.
  • 4Lewis J.Autoinhibition with transcriptional delay:a simple mechanism for the zebrafish somitogenesis oscillator[J].Current Biology,2003,13(16):1398-1408.
  • 5Wei J,Yu C.Hopf bifurcation analysis in a model of oscillatory gene expression with delay[J].Proceedings of the Royal Society of Edinburgh,2009,139(4):879-895.
  • 6Chen G,Moiola J.Wang H.Bifurcation control:Theories,methods and applications[J].International Journal of Bifurcation and Chaos,2000,10(3):511-548.
  • 7Pyragas K.Continuous control of chaos by self-controlling feedback[J].Physics Letters A,1992,170:421-428.
  • 8DieuonnéJ.Foundations of Modern Analysis[M].Sandiego CA:Academic,1960.
  • 9Hale J.Theory of functional differential equations[M].Berlin:Springer,1977.

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部