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This brief addresses the problem of synchronization of two Lu chaotic systems. As opposed to nonlinear Lyapunov-based controllers, which are designed with the aim of rendering the derivative of a Lyapunov function negative along trajectories of the closed-loop system, control design exploits the natural stability properties of the system. The proof relies not only on basic Lyapunov stability theory...
Based on the Lyapunov stability theory in control theory, a new sufficient condition is proposed in this paper for chaos synchronization by the linear-state-feedback approach for a class of chaotic systems. By using Schur theorem and some matrix technique, this criterion is then transformed into the linear matrix inequality (LMI) form, which can be easily verified and resolved using the MATLAB LMI...
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