Exponential synchronization of discontinuous neural networks with time-varying mixed delays via state feedback and impulsive control |
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Authors: | Yang Xinsong Cao Jinde Ho Daniel W C |
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Institution: | Department of Mathematics, Chongqing Normal University, Chongqing, 401331 China ;Department of Mathematics, Southeast University, Nanjing, 210096 China ;Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589 Saudi Arabia ;Department of Mathematics, City University of Hong Kong, Hong Kong, China ;School of Automation, Nanjing University of Science and Technology, Nanjing, 210096 China |
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Abstract: | This paper investigates drive-response synchronization for a class of
neural networks with time-varying discrete and distributed delays (mixed delays) as
well as discontinuous activations. Strict mathematical proof shows the global
existence of Filippov solutions to neural networks with discontinuous activation
functions and the mixed delays. State feedback controller and impulsive controller
are designed respectively to guarantee global exponential synchronization of the
neural networks. By using Lyapunov function and new analysis techniques, several new
synchronization criteria are obtained. Moreover, lower bound on the convergence rate
is explicitly estimated when state feedback controller is utilized. Results of this
paper are new and some existing ones are extended and improved. Finally, numerical
simulations are given to verify the effectiveness of the theoretical results. |
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Keywords: | Neural networks Discontinuous activations Exponential synchronization Filippov solutions State feedback control Impulsive control |
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