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Adaptive Stochastic Synchronization of Uncertain Delayed Neural Networks

Adaptive Stochastic Synchronization of Uncertain Delayed Neural Networks
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摘要 This paper considers adaptive synchronization of uncertain neural networks with time delays and stochastic perturbation. A general adaptive controller is designed to deal with the difficulties deduced by uncertain parameters and stochastic perturbations, in which the controller is less conservative and optimal since its control gains can be automatically adjusted according to some designed update laws. Based on Lyapunov stability theory and Barbalat lemma, sufficient condition is obtained for synchronization of delayed neural networks by strict mathematical proof. Moreover, the obtained results of this paper are more general than most existing results of certainly neural networks with or without stochastic disturbances. Finally, numerical simulations are presented to substantiate our theoretical results. This paper considers adaptive synchronization of uncertain neural networks with time delays and stochastic perturbation. A general adaptive controller is designed to deal with the difficulties deduced by uncertain parameters and stochastic perturbations, in which the controller is less conservative and optimal since its control gains can be automatically adjusted according to some designed update laws. Based on Lyapunov stability theory and Barbalat lemma, sufficient condition is obtained for synchronization of delayed neural networks by strict mathematical proof. Moreover, the obtained results of this paper are more general than most existing results of certainly neural networks with or without stochastic disturbances. Finally, numerical simulations are presented to substantiate our theoretical results.
作者 Enli Wu Yao Wang Fei Luo Enli Wu;Yao Wang;Fei Luo(College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, China)
出处 《Journal of Applied Mathematics and Physics》 2023年第9期2533-2544,共12页 应用数学与应用物理(英文)
关键词 Neural Networks SYNCHRONIZATION Time Delays Stochastic Perturbation Adaptive Control Neural Networks Synchronization Time Delays Stochastic Perturbation Adaptive Control
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