Global stabilization of some chaotic dynamical systems

In this paper, based on the theory of nonlinear differential equations and Gerschgorin theorem, a control scheme is proposed for global stabilizing the unstable equilibria of a class of chaotic systems. Using a suitable designing to the feedback gain matrix which depends on a few algebraic inequalit...

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Bibliographic Details
Published inChaos, solitons and fractals Vol. 42; no. 3; pp. 1584 - 1598
Main Authors El-Dessoky, M.M., Agiza, H.N.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 15.11.2009
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Summary:In this paper, based on the theory of nonlinear differential equations and Gerschgorin theorem, a control scheme is proposed for global stabilizing the unstable equilibria of a class of chaotic systems. Using a suitable designing to the feedback gain matrix which depends on a few algebraic inequalities, chaotic orbits are suppressed and dragged to the target (system’s equilibria). The proposed scheme is successfully applied to some typical chaotic systems with different types of nonlinearities, such as Rossler system, Nuclear Spin Generator system, and Four-scroll attractor. Numerical simulation results are presented to verify our control method.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2009.03.028