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IMPULSIVE CONTROL OF CHAOTIC SYSTEM

XINZHI LIU

Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1, Canada

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and

KOK LAY TEO

Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong

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https://doi.org/10.1142/S0218127402005029Cited by:21 (Source: Crossref)

Abstract

This paper studies an impulsive control problem. By utilizing the method of Lyapunov functions, a set of impulsive stabilization criteria are established. These results are then applied to the Lorenz system. It is shown that by using impulsive feedback control, all the solutions of the Lorenz system will converge to an equilibrium point.

Research supported in part by grants from NSERC-Canada, and from the Research Committee of The Hong Kong Polytechnic University.

Keywords:

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