Impulse-based coupling synchronization of multiple discrete-time memristor-based neural networks with stochastic perturbations and mixed delays |
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| Authors: | Huiyuan Li Jian-an Fang Xiaofan Li Tingwen Huang |
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| Institution: | 1. College of Information Science and Technology, Donghua University, Shanghai 201620, China;2. School of Electrical Engineering, Yancheng Institute of Technology, Yancheng 224051, China;3. Key Laboratory of Advanced Perception and Intelligent Control of High-end Equipment of Ministry of Education, Anhui Polytechnic University, Wuhu 241000, China;4. Science Program, Texas A&M University at Qatar, 23874 Doha, Qatar;1. Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai 50290, Thailand;2. Department of Mathematics, Thiruvalluvar University, Vellore, Tamil Nadu 632 115, India;3. Department of Mathematics, Mepco Schlenk Engineering College, Sivakasi, Tamil Nadu 626 005, India;4. Institute for Intelligent Systems Research and Innovation, Deakin University, Waurn Ponds, VIC 3216, Australia;1. College of Information Science and Technology, Donghua University, Shanghai 201620, PR China;2. Department of Electrical and Computer Engineering, Texas A & M University, Doha 23874, Qatar;3. The School of Continuing Education, Shanghai Jiao Tong University, Shanghai 200030, PR China;4. The School of Automation, Xi-an University of Posts & Telecommunications, Xi-an, Shaanxi 710121, PR China;1. Department of Mathematics, Harbin Institute of Technology, Weihai 264209, China;2. Space Control and Inertial Technology Research Center, Harbin Institute of Technolog, Harbin 150001, China;3. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, Shandong, China;1. School of Mathematical Science, Heilongjiang University, Harbin 150080, P. R. China;2. Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin 150080, P. R. China |
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| Abstract: | The global synchronization problem of multiple discrete-time memristor-based neural networks (DTMNNs) with stochastic perturbations and mixed delays is studied under impulse-based coupling control, where the coupling control only occurs at discrete impulse times. The impulse-based coupling control will further reduce the communication bandwidth for multiple DTMNNs to achieve coupling synchronization. We construct an array of multiple DTMNNs with stochastic perturbations and mixed delays and propose a novel impulse-based coupling control scheme. By utilizing Lyapunov–Krasovskii functional technique, schur complement technique and linear matrix inequality (LMI) method, some sufficient synchronization conditions depending on stochastic perturbations and mixed delays are established. At the end of this paper, a numerical example is given and the effectiveness of the impulse-based coupling control is illustrated by using MATLAB programming. |
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