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Speed feedback control of chaotic system. (English) Zbl 1091.93518

Summary: Based on the Lyapunov stabilization theory and matrix measure, this paper addresses the strategies of speed feedback control of chaotic system to the unsteadily equilibrium points, illustrated by a unified chaotic system and Rössler chaotic system. It is proved that the infimum of speed feedback control coefficient is less than that of displacement feedback control coefficient.

MSC:

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