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Synchronization and Control of Chaos in Four Dimensions Chen System via Nonlinear Control

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This paper focuses on the synchronization and control of chaos problem of the four dimensions Chen chaotic system. The chaos synchronization by nonlinear function method according to the stability criteria the coupled chaotic systems are asymptotically synchronized, if all eigenvalues of the matrix found in this linear approximation have negative real parts. Based on Lyapunov stability theory, Routh-Hurwitz theorem, and linear matrix inequality (LMI) formulation, the enhancing linear feedback control method, the Bang-Bang Control law, and Chaos synchronization via LMI method are obtained to make the chaotic motion approach to equilibrium point or regulation motion and the state of two identical Chen chaotic systems asymptotically synchronized. Simulation results have illustrated the effectiveness of the proposed chaos synchronization and chaos control solution.
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Document Type: Research Article

Publication date: 2012-07-01

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