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In this paper a method for local control of an unstable equilibrium point in chaotic systems is presented. Linear state feedback to stabilize the equilibrium is employed which is only active in a bounded region around the desired point: the area of control action. Size and shape of the area of control action are determined by a Lyapunov function of the controlled chaotic system such that it belongs to the basin of attraction of the equilibrium point. We give the design procedure for both continuous-time and discrete-time systems.

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