Exponential synchronization of fractional-order reaction-diffusion coupled neural networks with hybrid delay-dependent impulses |
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| Authors: | Shuai Yang Haijun Jiang Cheng Hu Juan Yu |
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| Institution: | 1. School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, PR China;2. Department of Applied Mathematics, University of Waterloo, Waterloo, ON N2L 3G1, Canada;3. School of Electrical Engineering, Computing and Mathematical Sciences, Curtin University, Perth, WA 6845, Australia;1. College of Electronic and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, PR China;2. Henan Key Lab of Information-Based Electrical Appliances, Zhengzhou University of Light Industry, Zhengzhou 450002, PR China;1. School of Mathematics, Southeast University, Nanjing 210096, China;2. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China;3. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;4. School of Electrical Engineering, Nantong University, Nantong 226019, China;5. School of Mathematics and Statistics, Shandong Normal University, Ji’nan 250014, PR China;1. Department of Mathematics, Thiruvalluvar University, Vellore 632115, Tamil Nadu, India;2. Istanbul University-Cerrahpasa, Faculty of Engineering, Department of Computer Engineering, Avcilar 34320, Istanbul, Turkey;3. Department of Electrical and Electronics Engineering, NIET Great Noida, Uttrapradesh, India;1. School of Artificial Intelligence and Automation, the Key Laboratory of Image Processing and Intelligent Control, Huazhong University of Science and Technology, Wuhan 430074, China;2. School of Control Science and Engineering, Shandong University, Jinan 250061, China;3. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China;1. School of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu 215500, Jiangsu, PR China;2. School of Science, Jiangnan University, Wuxi 214122, PR China |
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| Abstract: | This paper is concentrated on exploring the exponential synchronization of reaction-diffusion coupled neural networks with fractional-order and impulses. Firstly, an extended Halanay-type inequality is established to cope with the hybrid delay-dependent impulsive problem by utilizing the mathematical induction. Furthermore, a direct error method is introduced by constructing Lyapunov function for the addressed networks to investigate the exponential synchronization under impulsive effects. By utilizing the technique of average impulsive interval and strength, some sufficient synchronization criteria are derived, which are closely associated with time delay and the commensurate order for fractional-order systems. Lastly, three numerical examples are presented to demonstrate the correctness for established results. |
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