Robust impulsive lag synchronization of uncertain unified chaotic system with stochastic perturbation

Author

Yang Fang ; Kang Yan ; Kelin Li

Author_Institution

Sch. of Autom. & Electron. Inf., Sichuan Univ. of Sci. & Eng., Zigong, China

fYear

2014

fDate

19-21 Aug. 2014

Firstpage

463

Lastpage

468

Abstract

In this paper, an impulsive controller is designed to achieve exponentially lag synchronization for coupled uncertain unified chaotic systems with stochastic perturbation. Based on a comparison principle for stochastic impulsive systems, drive-response concept and linear matrix inequality (LMI) approach, several easily verified and realistic sufficient conditions in terms of linear matrix inequalities are derived to guarantee exponentially lag synchronization between the drive system and response system. Moreover, the exponential decay rate has been estimated. A numerical example is provided to validate the effectiveness of the proposed scheme.

Keywords

chaos; linear matrix inequalities; nonlinear control systems; robust control; stochastic systems; uncertain systems; LMI approach; exponential decay rate; exponentially lag synchronization; impulsive controller; linear matrix inequalities; linear matrix inequality; robust impulsive lag synchronization; stochastic impulsive systems; stochastic perturbation; uncertain unified chaotic system; Chaotic communication; Control systems; Symmetric matrices; Synchronization; Uncertainty; Vectors; Comparison principle; Impulsive controller; Linear matrix inequality (LMI); Stochastic perturbation; Uncertain unified chaotic system;

fLanguage

English

Publisher

ieee

Conference_Titel

Natural Computation (ICNC), 2014 10th International Conference on

Conference_Location

Xiamen

Print_ISBN

978-1-4799-5150-5

Type

conf

DOI

10.1109/ICNC.2014.6975879

Filename

6975879