Control of the new 4th-order hyper-chaotic system with one input

被引：11

作者：

Loria, Antonio ^{[1
]}

机构：

[1] LSS SUPELEC, CNRS, F-91192 Gif Sur Yvette, France

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 06期

关键词：

Lu system; Lorenz system; Chaos control; Lyapunov method; NONLINEAR CONTROL; SYNCHRONIZATION; ATTRACTOR; EQUATION; LORENZ;

D O I：

10.1016/j.cnsns.2009.06.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We solve the problem of chaos Suppression of Lu's hyper-chaotic system via feedback control. We use only one control input and moreover the controller is a simple proportional feedback and uses the measurement of only one variable. We show that this simple control law suffices to stabilize the hyper-chaotic system to the zero equilibrium globally and asymptotically. We present stability proofs based on Lyapunov's direct method and integration of solutions. As a corollary of our main result we draw the Conclusion that the system is globally stabilizable by simply varying One parameter, when possible. Simulation experiments that show the effectiveness Of Our method are also presented. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1621 / 1630

页数：10

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