Synchronization of Time Delay Coupled Neural Networks Based on Impulsive Control
This paper investigates the impulsive synchronization of time delay coupled neural networks. Based on the Lyapunov stability theory and impulsive control method, a distributed delayed impulsive controller is designed to realize synchronization of the coupled neural networks. A new impulsive delayed...
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| Veröffentlicht in: | Mathematical problems in engineering 2020, Vol.2020 (2020), p.1-8 |
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| container_title | Mathematical problems in engineering |
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| creator | Sun, Junwei Xu, Danying Zhang, Yin Fang, Jie |
| description | This paper investigates the impulsive synchronization of time delay coupled neural networks. Based on the Lyapunov stability theory and impulsive control method, a distributed delayed impulsive controller is designed to realize synchronization of the coupled neural networks. A new impulsive delayed inequality is proposed, where the control effect of distributed delayed impulses is fully considered. In addition, a suitable Lyapunov-like function is established to prove the stability of the synchronization system. Numerical simulation examples are introduced to illustrate the effectiveness and feasibility of the main results. |
| doi_str_mv | 10.1155/2020/5986018 |
| format | Article |
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Based on the Lyapunov stability theory and impulsive control method, a distributed delayed impulsive controller is designed to realize synchronization of the coupled neural networks. A new impulsive delayed inequality is proposed, where the control effect of distributed delayed impulses is fully considered. In addition, a suitable Lyapunov-like function is established to prove the stability of the synchronization system. Numerical simulation examples are introduced to illustrate the effectiveness and feasibility of the main results.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2020/5986018</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Brain research ; Computer simulation ; Control stability ; Control systems design ; Control theory ; Inequality ; Mathematical problems ; Neural networks ; Simulation ; Synchronism ; Time lag ; Time synchronization</subject><ispartof>Mathematical problems in engineering, 2020, Vol.2020 (2020), p.1-8</ispartof><rights>Copyright © 2020 Jie Fang et al.</rights><rights>Copyright © 2020 Jie Fang et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 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| subjects | Brain research Computer simulation Control stability Control systems design Control theory Inequality Mathematical problems Neural networks Simulation Synchronism Time lag Time synchronization |
| title | Synchronization of Time Delay Coupled Neural Networks Based on Impulsive Control |
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