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Chaos control of Chen chaotic dynamical system. (English) Zbl 1038.37029
Summary: This paper is devoted to study the problem of controlling chaos in a Chen chaotic dynamical system. Two different methods of control, feedback and nonfeedback methods are used to suppress chaos to unstable equilibria or unstable periodic orbits (UPO). The Lyapunov direct method and Routh-Hurwitz criteria are used to study the conditions of the asymptotic stability of the steady states of the controlled system. Numerical simulations are presented to show these results.

MSC:
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
93C10 Nonlinear systems in control theory
37N35 Dynamical systems in control
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