Finite-time lag projective synchronization of nonidentical fractional delayed memristive neural networks |
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| Institution: | 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. Department of Systems and Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, PR China;2. School of Mechanical and Mechatronic Engineering, University of Technology Sydney, 15 Broadway, Ultimo, NSW 2007, Australia;3. College of Mathematics and Computer Science, Changsha UniversityChangsha, Hunan 410022, PR China;4. Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha, Hunan 410114, China;1. School of Computer Science and School of Cyberspace Science Xiangtan University, Xiangtan, 411105, PR China;2. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, PR China;3. School of Mathematics Science, Liaocheng University, Liaocheng, 252000, PR China |
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| Abstract: | Without considering identical systems, this paper investigates the finite-time lag projective synchronization of nonidentical fractional delayed memristive neural networks (FDMNN) by designing a novel fractional sliding mode controller (SMC). Due to the existence of memristor, the research is under the framework of Filippov solution. We firstly construct a fractional integral sliding mode surface (SMS). Based on sliding mode control theory and Lyapunov stability theorem, a novel fractional SMC is proposed to realize the lag projective synchronization of nonidentical FDMNN in finite time, and the synchronization setting time is less conservative than the existing results. As the special cases, some sufficient conditions are extended to projective synchronization, lag synchronization, anti-lag synchronization of nonidentical FDMNN in finite time, which improve and enrich some existing results. At last, a simulation example is given to prove the validity of the conclusions. |
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