Impulsive control for passivity and exponential synchronization of coupled neural networks with multiple weights |
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Authors: | Hong-An Tang Jin-Liang Wang Lidan Wang Xiaofang Hu Yue Zhou Shukai Duan |
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Institution: | 1. College of Electronic and Information Engineering, Southwest University, Chongqing 400715, China;2. College of Artificial Intelligence, Southwest University, Chongqing 400715, China;3. School of Computer Science and Technology, Tianjin Polytechnic University, Tianjin 300387, China;4. School of Computer and Information Science, Southwest University, Chongqing 400715, China;5. Brain-inspired Computing & Intelligent Control of Chongqing Key Lab, Chongqing 400715, China;6. National & Local Joint Engineering Laboratory of Intelligent Transmission and Control Technology, Chongqing 400715, China;7. Chongqing Brain Science Collaborative Innovation Center, Chongqing 400715, China |
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Abstract: | This paper investigates the passivity and synchronization problems for two classes of multiple weighted coupled neural networks (MWCNNs) with or without time delays. Firstly, by utilizing an impulsive control strategy and some inequality techniques, several passivity criteria for MWCNNs with diverse dimensions of output and input are established. Then, based on the Lyapunov functional, some sufficient conditions to ensure the synchronization of MWCNNs via impulsive control are derived. In addition, combined with the comparison principle and the impulsive delay differential inequality, the global exponential synchronization of MWCNNs with time-varying delays is considered under impulsive control. Finally, two numerical examples illustrate the effectiveness of the obtained results. |
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Keywords: | Corresponding authors at: College of Artificial Intelligence Southwest University Chongqing 400715 China |
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