On control and synchronization in chaotic and hyperchaotic systems via linear feedback control

被引：208

作者：

Rafikov, Marat ^{[2
]}

Balthazar, Jose Manoel ^{[1
]}

机构：

[1] Univ Estadual Paulista, BR-13500230 Rio Claro, SP, Brazil

[2] Univ Reg Noroeste Estado Rio Grande do Sul, BR-98700000 Ijui, RS, Brazil

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2008年 / 13卷 / 07期

基金：

巴西圣保罗研究基金会;

关键词：

chaos control; synchronization; linear feedback control; chaotic and hyperchaotic rossler systems;

D O I：

10.1016/j.cnsns.2006.12.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents the control and synchronization of chaos by designing linear feedback controllers. The linear feedback control problem for nonlinear systems has been formulated under optimal control theory viewpoint. Asymptotic stability of the closed-loop nonlinear system is guaranteed by means of a Lyapunov function which can clearly be seen to be the solution of the Hamilton-Jacobi-Bellman equation thus guaranteeing both stability and optimality. The formulated theorem expresses explicitly the form of minimized functional and gives the sufficient conditions that allow using the linear feedback control for nonlinear system. The numerical simulations were provided in order to show the effectiveness of this method for the control of the chaotic Rossler system and synchronization of the hyperchaotic Rossler system. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：1246 / 1255

页数：10

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