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Zbl 1102.37305
Park, Ju H.; Kwon, O.M.
Guaranteed cost control of time-delay chaotic systems. (English)
[J] Chaos Solitons Fractals 27, No. 4, 1011-1018 (2006). ISSN 0960-0779

Summary: This article studies a guaranteed cost control problem for a class of time-delay chaotic systems. Attention is focused on the design of memory state feedback controllers such that the resulting closed-loop system is asymptotically stable and an adequate level of performance is also guaranteed. Using the Lyapunov method and LMI (linear matrix inequality) framework, two criteria for the existence of the controller are derived in terms of LMIs. A numerical example is given to illustrate the method proposed.

MSC 2000:: *37D45 Strange attractors, chaotic dynamics
93D05 Lyapunov and other classical stabilities of control systems
93D15 Stabilization of systems by feedback

Keywords: cost control problem; chaotic systems; memory state feedback controllers; Lyapunov method

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