Taming Chaos by Linear Regulation with Bound Estimation. (28th April 2015)

• Record Type: Journal Article
• Authors: Wang, Jiqiang; Chen, Weijian
• Other Names: Yau Her-Terng Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2015(2015)
• Publication Date: 2015-04-28
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2015/357930
• Languages: English
• ISSNs: 1110-757X

Abstract

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.