Stability and periodicity in delayed cellular neural networks with impulsive effects |
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| Institution: | 1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, PR China;2. Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea;3. Department of Mathematics, Southeast University, Nanjing 210096, Jiangsu, PR China;4. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;1. University of Carthage, Faculty of Sciences of Bizerta, Department of Mathematics, Research Units of Mathematics and Applications UR13ES47, BP W, 7021 Zarzouna, Bizerta, Tunisia;2. School of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing, 210 096, China;3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia;4. Department of Technology, Faculty of Technology, University of Bejaia, Bejaia, 06000, Algeria;5. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia;1. School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China;2. School of Mathematics and Statistics, Shandong University of Technology, Zibo, 255000, China;3. International School, Beijing University of Posts and Telecommunications, Beijing, 100876, China;4. Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China;5. State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing, 100876, China;6. School of Computer Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China |
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| Abstract: | In the paper, the global exponential stability and periodicity are investigated for delayed cellular neural networks with impulsive effects. Some sufficient conditions are derived for checking the global exponential stability and the existence of periodic solution for this system based on Halanay inequality, mathematical induction and fixed point theorem. The criteria given are easily verifiable, possess many adjustable parameters, and depend on impulses, which provides flexibility for the design and analysis of delayed cellular neural networks with impulses. |
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