1. Stability Analysis and Design of Impulsive Control Lorenz Systems Family
- Author
-
Zhang Hong-Bin, Yu Juebang, Zhang Fengli, Liao Xiao-feng, and Yu Yong-Bin
- Subjects
Nonlinear Sciences::Chaotic Dynamics ,Chen ,Physics and Astronomy (miscellaneous) ,biology ,Exponential stability ,Control theory ,Computer science ,Chaotic systems ,Chaotic ,Impulse (physics) ,Lorenz system ,biology.organism_classification - Abstract
Lorenz systems family unifying Lorenz system, Chen system and Lu system is a typical chaotic family. In this paper, we consider impulsive control Lorenz chaotic systems family with time-varying impulse intervals. By establishing an effective tool of a set of inequalities, we analyze the asymptotic stability of impulsive control Lorenz systems family 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. The obtained results not only can be used to design impulsive control for Lorenz systems family, but also can be extended to other chaotic systems.
- Published
- 2009