Impulsive stabilization and control of chaotic system

Authors
Liu, XZ
Citation
Xz. Liu, Impulsive stabilization and control of chaotic system, NONLIN ANAL, 47(2), 2001, pp. 1081-1092
Citations number
20
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
2
Year of publication
2001
Part
2
Pages
1081 - 1092
Database
ISI
SICI code
0362-546X(200108)47:2<1081:ISACOC>2.0.ZU;2-6
Abstract
This paper studies an impulsive control problem. By utilizing the method of Lyapunov functions a set of impulsive stabilization criteria are establish ed. These results are then applied to the Lorenz system. It is shown that b y using impulsive feedback control, all the solutions of the Lorenz system will converge to an equilibrium point.