Adaptive impulsive synchronization of uncertain delayed chaotic system with full unknown parameters via discrete‐time drive signals |
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| Authors: | Xiaojing Gao Mengfan Cheng Hanping Hu |
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| Institution: | 1. School of Automation, Huazhong University of Science and Technology (HUST), Wuhan, People's Republic of China;2. Next Generation Internet Access National Engineering Lab (NGIA), School of Optoelectronic Science and Engineering, Huazhong University of Science and Technology (HUST), Wuhan, People's Republic of China |
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| Abstract: | This article investigates the adaptive impulsive synchronization of delayed chaotic system with full unknown parameters. Aiming at this problem, we propose a new adaptive strategy, in which both the adaptive–impulsive controller and the parameters adaptive laws are designed via the discrete‐time signals from the drive system. The corresponding theoretical proof is given to guarantee the effectiveness of the proposed strategy. Moreover, the concrete adaptive strategies are achieved for delayed Hopfield neural network, optical Ikeda system and the well‐known delayed Lü chaotic system. As expected, numerical simulations show the effectiveness of the proposed strategy. This method has potential applications in parameters estimation, secure communication, and cryptanalysis when only discrete signals are transmitted in communication channel. © 2014 Wiley Periodicals, Inc. Complexity 21: 43–51, 2016 |
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| Keywords: | delayed chaotic system adaptive impulsive synchronization discrete‐time drive signals parameters estimation |
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