Improved synchronization analysis of competitive neural networks with time-varying delays
Synchronization and control are two very important aspects of any dynamical systems. Among various kinds of nonlinear systems, competitive neural network holds a very important place due to its application in diverse fields. The model is general enough to include, as subclass, the most famous neural...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2018-02-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13354 |
| _version_ | 1819021046462808064 |
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| author | Adnène Arbi Jinde Cao Ahmed Alsaedi |
| author_facet | Adnène Arbi Jinde Cao Ahmed Alsaedi |
| author_sort | Adnène Arbi |
| collection | DOAJ |
| description | Synchronization and control are two very important aspects of any dynamical systems. Among various kinds of nonlinear systems, competitive neural network holds a very important place due to its application in diverse fields. The model is general enough to include, as subclass, the most famous neural network models such as competitive neural networks, cellular neural networks and Hopfield neural networks. In this paper, the problem of feedback controller design to guarantee synchronization for competitive neural networks with time-varying delays is investigated. The goal of this work is to derive an existent criterion of the controller for the exponential synchronization between drive and response neutral-type competitive neural networks with time-varying delays. The method used in this brief is based on feedback control gain matrix by using the Lyapunov stability theory. The synchronization conditions are given in terms of LMIs. To the best of our knowledge, the results presented here are novel and generalize some previous results. Some numerical simulations are also represented graphically to validate the effectiveness and advantages of our theoretical results. |
| first_indexed | 2024-12-21T04:00:52Z |
| format | Article |
| id | doaj.art-cef7b11a0a7d482b9763ce9f086cdb03 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-21T04:00:52Z |
| publishDate | 2018-02-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-cef7b11a0a7d482b9763ce9f086cdb032022-12-21T19:16:44ZengVilnius University PressNonlinear Analysis1392-51132335-89632018-02-0123110.15388/NA.2018.1.7Improved synchronization analysis of competitive neural networks with time-varying delaysAdnène Arbi0Jinde Cao1Ahmed Alsaedi2 University of Kairouan; University of Carthage, TunisiaSoutheast University, China; King Abdulaziz University, Saudi ArabiaKing Abdulaziz University, Saudi ArabiaSynchronization and control are two very important aspects of any dynamical systems. Among various kinds of nonlinear systems, competitive neural network holds a very important place due to its application in diverse fields. The model is general enough to include, as subclass, the most famous neural network models such as competitive neural networks, cellular neural networks and Hopfield neural networks. In this paper, the problem of feedback controller design to guarantee synchronization for competitive neural networks with time-varying delays is investigated. The goal of this work is to derive an existent criterion of the controller for the exponential synchronization between drive and response neutral-type competitive neural networks with time-varying delays. The method used in this brief is based on feedback control gain matrix by using the Lyapunov stability theory. The synchronization conditions are given in terms of LMIs. To the best of our knowledge, the results presented here are novel and generalize some previous results. Some numerical simulations are also represented graphically to validate the effectiveness and advantages of our theoretical results.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13354competitive neural networkstime-varying delaysglobal exponential synchronizationLyapunov functional |
| spellingShingle | Adnène Arbi Jinde Cao Ahmed Alsaedi Improved synchronization analysis of competitive neural networks with time-varying delays Nonlinear Analysis competitive neural networks time-varying delays global exponential synchronization Lyapunov functional |
| title | Improved synchronization analysis of competitive neural networks with time-varying delays |
| title_full | Improved synchronization analysis of competitive neural networks with time-varying delays |
| title_fullStr | Improved synchronization analysis of competitive neural networks with time-varying delays |
| title_full_unstemmed | Improved synchronization analysis of competitive neural networks with time-varying delays |
| title_short | Improved synchronization analysis of competitive neural networks with time-varying delays |
| title_sort | improved synchronization analysis of competitive neural networks with time varying delays |
| topic | competitive neural networks time-varying delays global exponential synchronization Lyapunov functional |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13354 |
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