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CHAOTIFYING A CONTINUOUS-TIME SYSTEM VIA IMPULSIVE INPUT

LING YANG

Department of Mathematics, Shanghai University, Shanghai 201800, China

Department of Mathematics, Suzhou University, Jiangsu, Suzhou 215006, China

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ZENGRONG LIU

Department of Mathematics, Shanghai University, Shanghai 201800, China

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GUANRONG CHEN

Department of Electronic Engineering, City University of Hong Kong, China

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https://doi.org/10.1142/S0218127402004954Cited by:40 (Source: Crossref)

Abstract

This paper studies the chaotification problem of driving a continuous-time system to a chaotic state by using an impulsive control input. The controller is designed to ensure the controlled orbit be bounded and, meanwhile, have positive Lyapunov exponents. This is proved to be not only possible but also implementable near a stable limit cycle of the given system. Two numerical examples are given to illustrate the effectiveness of the proposed chaotification method.

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