Impulsive modeling and control of a new chaotic system

Author

Yu, Yongbin ; Zhang, Hongbin ; Li, Kang ; Yu, Juebang ; Liao, Xiaofeng

Author_Institution

Coll. of Electron. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu

fYear

2008

fDate

25-27 May 2008

Firstpage

1111

Lastpage

1117

Abstract

In this paper, we consider impulsive modeling and control of a new chaotic system with time-varying impulse intervals. The new chaotic system is derived from Lorenz system, Chen system and Lu system. By establishing an effective tool of a set of inequalities, we analyze the asymptotic stability of impulsive control the new chaotic system and obtain some new less conservative conditions. Based on the stability analysis, we design a novel impulsive controller with time-varying impulse intervals. Illustrative examples are provided to show the feasibility and effectiveness of our method finally.

Keywords

asymptotic stability; control system synthesis; nonlinear control systems; time-varying systems; Chen system; Lorenz system; Lu system; asymptotic stability; chaotic system; impulsive control; impulsive modeling; stability analysis; time-varying impulse intervals; Asymptotic stability; Chaos; Computer science; Control systems; Differential equations; Educational institutions; Stability analysis; Sun; Symmetric matrices; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, Circuits and Systems, 2008. ICCCAS 2008. International Conference on

Conference_Location

Fujian

Print_ISBN

978-1-4244-2063-6

Electronic_ISBN

978-1-4244-2064-3

Type

conf

DOI

10.1109/ICCCAS.2008.4657962

Filename

4657962