State quantized sampled-data control design for complex-valued memristive neural networks |
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| Institution: | 1. School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650504, China;2. School of Mathematics, Southeast University, Nanjing 210096, China;3. Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea;4. Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia;1. Electrical Engineering Department, Faculty of Engineering, Cairo university, Egypt;2. Department of Mechatronics, Faculty of Engineering, Autonomous University Carmen, Cd. del Carmen 24180, Mexico;3. Departamento de Control Automatico, CINVESTAV, A.P. 14-740, Mexico D.F. CP 07000, Mexico;1. School of Mathematics and Statistics, Fuzhou University, Fuzhou, 350108, China;2. College of Marine Electrical Engineering, Dalian Maritime University, Dalian, 116026, China;1. School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650500, China;2. School of Science, Hubei University for Nationalities, Enshi 445000, China;3. Department of Mathematics, Southeast University, Nanjing 210096, China;4. School of Mathematics and Statistics, GuiZhou University of Finance and Economics, Guiyang 550025, China |
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| Abstract: | In this paper, several resultful control schemes based on data quantization are proposed for complex-valued memristive neural networks (CVMNNs). Firstly, considering the finite communication resources and the interference of failures to the system, a state quantized sampled-data controller (SQSDC) is designed for CVMNNs. Next, taking the interference of gain fluctuations into account, a non-fragile sampled-data control (SDC) law is proposed for CVMNNs in the framework of data quantification. In order to full capture more inner sampling information, a newly Lyapunov-Krasovskii function (LKF) is constructed on the basis of the proposed triple integral inequality. After that, in the framework of taking full advantage of the property of Bessel-Legendre inequality, a time-dependent discontinuous LKF (TDDLKF) is proposed for CVMNNs with SQSDC. Based on the useful LKF, several stability criteria are established. Finally, the numerical simulations are provided to substantiate the validity and less conservatism of the proposed schemes. |
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