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Adaptive impulsive synchronization of nonlinear chaotic systems |
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| Authors: | Yen-Sheng Chen Chien-Cheng Chang |
| Affiliation: | 1. Institute of Applied Mechanics, National Taiwan University, Taipei, 106, Taiwan, ROC 2. Center for Advanced Studies in Theoretical Sciences, National Taiwan University, Taipei, 106, Taiwan, ROC 3. Division of Mechanics, Research Center for Applied Sciences, Academia Sinica, Taipei, 115, Taiwan, ROC |
| Abstract: | In this paper, an adaptive impulse control with only one restriction criterion is derived to achieve synchronization of nonlinear chaotic systems in the exponential rate of convergence. It is assumed that the system satisfies the local Lipschitz condition and the Lipschitz constant is estimated by an augmented adaptation equation. The significance of the related control parameters in the criterion is also discussed in detail. The Duffing and the Lorenz systems have been simulated to illustrate the theoretical analysis. |
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