一类超混沌离散系统的控制

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

基金项目: 国家自然科学基金资助项目(19872044)

Control of a Hyperchaotic Discrete System

摘要: 研究一类超混沌离散系统的控制问题.基于局部线性化建立了时变线性反馈控制律.采用Liapunov直接法估计了控制律可以有效作用的邻域范围.分别给出了应用该控制律解决不稳定周期轨道的镇定问题和任意给定周期轨道的追踪问题的算例.
- 控制混沌 /
- 超混沌映射 /
- Liapunov直接法 /
- 镇定 /
- 追踪
Abstract: The Control of a hyperchaotic discrete system is investigated. A time-varying feedback control law is established on the base of local linearization. The Liapunov direct method is applied to estimate the neighborhood in which the control law can be effectively used. Numerical examples are presented to demonstrate the applications of the control law to solve the problem of stabilizing unstable periodic orbits and the problem of tracking an arbitrarily given periodic orbit.
- controlling chaos /
- hyperchaotic map /
- Liapunov direct method /
- stabilization /
- tracking

[1]	胡海岩.力学系统混沌的主动控制[J].力学进展,1996,26(4):453-463.
[2]	陈立群,刘延柱.控制混沌的研究现状与展望[J].上海交通大学学报,1998,32(1):108-114.
[3]	YANG Ling,LIU Zeng-rong,MAO Jian-min.Controlling hyperchaos[J].Phy Rev Lett,1999,84(1):67-70.
[4]	Ott E,Grebogi C,Yorke J A.Controlling chaos[J].Phys Rev Lett,1990,64:1196-1199.
[5]	Jackson A.On the control of complex dynamic systems[J].Phy D,1991,50:341-366.
[6]	刘曾荣.两维平面映射的奇怪吸引子[M].苏州:苏州大学出版社,1996.
[7]	LIU Zeng-rong,CHEN Li-qun,YANG Ling.Some properties of hyperchaos:case study[J].Acta Mechanica Sinica,1999,15(4):366-370.