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2015 Taming Chaos by Linear Regulation with Bound Estimation
Jiqiang Wang, Weijian Chen
J. Appl. Math. 2015: 1-8 (2015). DOI: 10.1155/2015/357930

Abstract

Chaos control has become an important area of research and consequently many approaches have been proposed to control chaos. This paper proposes a linear regulation method. Different from the existing approaches is that it can provide region of attraction while estimating the bounding behaviour of the norm of the states. The proposed method also possesses design flexibility and can be easily used to cater for special requirement such that control signal should be generated via single input, single state, static feedback and so forth. The applications to the Tigan system, the Genesio chaotic system, the novel chaotic system, and the Lorenz chaotic system justify the above claims.

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Jiqiang Wang. Weijian Chen. "Taming Chaos by Linear Regulation with Bound Estimation." J. Appl. Math. 2015 1 - 8, 2015. https://doi.org/10.1155/2015/357930

Information

Published: 2015
First available in Project Euclid: 11 June 2015

zbMATH: 07132059
Digital Object Identifier: 10.1155/2015/357930

Rights: Copyright © 2015 Hindawi

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