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Guaranteed cost control of time-delay chaotic systems. (English) Zbl 1102.37305
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:
37D45Strange attractors, chaotic dynamics
93D05Lyapunov and other classical stabilities of control systems
93D15Stabilization of systems by feedback