Synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control

Author

Botmart, Thongchai ; Niamsup, Piyapong ; Liu, Xinzhi

Author_Institution

Dept. of Math., Chiang Mai Univ., Chiang Mai, Thailand

fYear

2010

fDate

7-10 Dec. 2010

Firstpage

1934

Lastpage

1939

Abstract

In this paper, we investigate the synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control. Using a combination of Riccati differential equation approach, Lyapunov-Krasovskii functional, inequality techniques, some new sufficient conditions for exponentially stability of the error system are formulated in form of a solution to the standard Riccati differential equation. The designed controller ensures that the synchronization of non-autonomous chaotic systems are proposed via delayed feedback control. Numerical simulations are presented to illustrate the effectiveness of these synchronization criteria.

Keywords

Lyapunov methods; Riccati equations; asymptotic stability; control system synthesis; delays; differential equations; feedback; nonlinear control systems; synchronisation; time-varying systems; Lyapunov-Krasovskii functional; Riccati differential equation; delayed feedback control; error system; exponentially stability; inequality techniques; nonautonomous chaotic systems; numerical simulations; synchronization criteria; time-varying delay; Chaos; Delay; Delay systems; Feedback control; Numerical stability; Synchronization; Time varying systems; Synchronization; chaotic systems; delayed feedback control; non-autonomous; time-varying delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Automation Robotics & Vision (ICARCV), 2010 11th International Conference on

Conference_Location

Singapore

Print_ISBN

978-1-4244-7814-9

Type

conf

DOI

10.1109/ICARCV.2010.5707307

Filename

5707307