Chaos Synchronization Between Two Stochastic Lorenz-family Systems

Author

Lin, Yanyan ; Ma, Shaojuan

Author_Institution

Sch. of Inf. & Comput. Sci., North Univ. for Nat., Yinchuan, China

fYear

2010

Firstpage

19

Lastpage

23

Abstract

In this paper, we address stochastic chaos synchronization of two stochastic Lorenz-family systems with bounded random parameters. In the analysis the stochastic Lorenz-family system is firstly transformed into an equivalent deterministic nonlinear system by the Chebyshev polynomial approximation, so that the chaos synchronization problem of stochastic Lorenz-family systems can be reduced into that of the equivalent deterministic systems. Based on Lyapunov stability theory and linear matrix inequality (LMI) formulation, a series of simple feedback control laws are applied to two identical stochastic Lorenz-family systems. Numerical simulation shows the effectiveness of synchronous programs.

Keywords

Lyapunov methods; chaos; numerical analysis; stochastic processes; synchronisation; Chebyshev polynomial approximation; Lyapunov stability theory; bounded random parameters; chaos synchronization; equivalent deterministic nonlinear system; feedback control laws; linear matrix inequality formulation; numerical simulation; stochastic Lorenz-family systems; Chaos; Chebyshev approximation; Numerical simulation; Polynomials; Stochastic processes; Synchronization; Chebyshev polynomial approximation; LMI; random parameters; stochastic Lorenz-family systems; stochastic synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on

Conference_Location

Kunming, Yunnan

Print_ISBN

978-1-4244-8815-5

Type

conf

DOI

10.1109/IWCFTA.2010.39

Filename

5671131