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Adaptive impulsive synchronization of uncertain chaotic systems |
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| Authors: | Yen-Sheng Chen Robert R Hwang |
| Institution: | a Institute of Applied Mechanics, National Taiwan University, Taipei 106, Taiwan, ROC b Institute of Physics, Academia Sinica, Taipei 115, Taiwan, ROC c Division of Mechanics, Research Center for Applied Sciences, Academia Sinica, Taipei 115, Taiwan, ROC |
| Abstract: | The Letter develops an adaptive impulsive scheme that includes a sole restriction criterion to achieve synchronization of chaotic nonlinear systems with unknown parameters. The system is assumed to satisfy the local Lipschitz condition while a Lipschitz constant and the uncertain system parameters are estimated by augmented adaptation equations. Adaptation of all parameters is proven to converge exponentially. The significance of the related control parameters and their margins in the criterion is also discussed in detail. The Lorenz system has been simulated to illustrate the theoretical analysis. |
| Keywords: | Impulsive synchronization Adaptation Uncertainty |
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