Adaptive fixed-time synchronization of stochastic memristor-based neural networks with discontinuous activations and mixed delays |
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| Institution: | 1. School of Automation and Electrical Engineering, Linyi University, Linyi, Shandong, 276005, China;2. Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, China University of Geosciences, Wuhan, 430074, China;3. School of Mathematics, Southeast University, Nanjing 210096, China;4. Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea;1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China;2. Shandong University of Science and Technology, Jinan 250031, China;1. School of Mathematics Science, Liaocheng University, Liaocheng 252000, China;2. School of Mathematics, University of Manchester, Manchester M13 9PL, UK;3. School of Electrical and Information Engineering, Anhui University of Technology, Maanshan 243002, China;1. School of Electrical and Information Engineering, Wuhan Institute of Technology, Wuhan 430205, China;2. Hubei Key Laboratory of Optical Information and Pattern Recognition, Wuhan 430205, China;3. Hubei Province Key Laboratory of Systems Science in Metallurgical Process(Wuhan University of Science and Technology), Wuhan 430081, China;1. School of Mathematics and Physics, Anqing Normal University, Anqing 246133, PR China;2. Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA;3. School of Mathematics, Southeast University, Nanjing 211189, PR China;4. Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea |
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| Abstract: | In this paper, adaptive fixed-time synchronization(FTS) of stochastic memristor-based neural networks(MNNs) with discontinuous activations and mixed delays is investigated. Both continuous and discontinuous activation functions are discussed for stochastic MNNs. Meanwhile, a feedback control strategy and a new adaptive control strategy are proposed to ensure FTS of stochastic MNNs. Since the MNNs are right-hand discontinuous systems, the set-valued mapping and differential inclusion theory are used to deal with its discontinuity. Synchronization criteria and the settling time (ST) are obtained with the aid of some lemmas and mathematical inequalities under corresponding control schemes. It’s worth noting that the ST can be adjusted to desired value by controller parameters regardless of the initial values. Finally, the feasibility of theoretical results are proved via simulation results. |
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