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

Nenhuma Miniatura disponível

Data

2008-09-01

Autores

Rafikov, Marat
Balthazar, José Manoel [UNESP]

Título da Revista

ISSN da Revista

Título de Volume

Editor

Elsevier B.V.

Resumo

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.

Descrição

Palavras-chave

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

Como citar

Communications In Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., v. 13, n. 7, p. 1246-1255, 2008.