WEIGHTED PSEUDO ALMOST-PERIODIC SOLUTIONS OF SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH MIXED DELAYS
In this paper, we prove the existence and the global exponential stability of the unique weighted pseudo almost-periodic solution of shunting inhibitory cellular neural networks with mixed time-varying delays comprising different discrete and distributed time delays. Some sufficient conditions are g...
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| Vydáno v: | Acta mathematica scientia Ročník 36; číslo 6; s. 1662 - 1682 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier Ltd
01.11.2016
Department of Mathematics, University of Carthage, Faculty of Sciences of Bizerta,BP W, 7021 Zarzouna, Bizerta, Tunisia%REGIM-lab: Research Groups on Intelligent Machines, University of Sfax, National Engineering School of Sfax(ENIS), BP 1173, Sfax 3038, Tunisia%VSB Technical University of Ostrava, Czech Republic |
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| ISSN: | 0252-9602, 1572-9087 |
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| Abstract | In this paper, we prove the existence and the global exponential stability of the unique weighted pseudo almost-periodic solution of shunting inhibitory cellular neural networks with mixed time-varying delays comprising different discrete and distributed time delays. Some sufficient conditions are given for the existence and the global exponential stability of the weighted pseudo almost-periodic solution by employing fixed point theorem and differential inequality techniques. The results of this paper complement the previously known ones. Finally, an illustrative example is given to demonstrate the effectiveness of our results. |
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| AbstractList | In this paper, we prove the existence and the global exponential stability of the unique weighted pseudo almost-periodic solution of shunting inhibitory cellular neural networks with mixed time-varying delays comprising different discrete and distributed time delays. Some sufficient conditions are given for the existence and the global exponential stability of the weighted pseudo almost-periodic solution by employing fixed point theorem and differential inequality techniques. The results of this paper complement the previously known ones. Finally, an illustrative example is given to demonstrate the effectiveness of our results. |
| Author | Mohammed Salah M＇HAMDI Chaouki AOUITI Abderrahmane TOUATI Adel M. ALIMI Vaclav SNASEL |
| AuthorAffiliation | Department of Mathematics, University of Carthage, Faculty of Sciences of Bizerta, BP W, 7021 Zarzouna, Bizerta, Tunisia REGIM-lab： Research Groups on Intelligent Machines, University of Sfax, National Engineering School of Sfax （ENIS）, BP 1173, Sfax 3038, Tunisia VSB Technical University of Ostrava, Czech Republic |
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| Keywords | global exponential stability 34C27 34K40 47H10 shunting inhibitory cellular neural networks mixed delays 34D20 34K05 92B20 weighted pseudo almost-periodic solution |
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| Notes | weighted pseudo almost-periodic solution; shunting inhibitory cellular neuralnetworks; mixed delays; global exponential stability In this paper, we prove the existence and the global exponential stability of the unique weighted pseudo almost-periodic solution of shunting inhibitory cellular neural networks with mixed time-varying delays comprising different discrete and distributed time delays. Some sufficient conditions are given for the existence and the global exponential stability of the weighted pseudo almost-periodic solution by employing fixed point theorem and differential inequality techniques. The results of this paper complement the previously known ones. Finally, an illustrative example is given to demonstrate the effectiveness of our results. 42-1227/O |
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| Publisher | Elsevier Ltd Department of Mathematics, University of Carthage, Faculty of Sciences of Bizerta,BP W, 7021 Zarzouna, Bizerta, Tunisia%REGIM-lab: Research Groups on Intelligent Machines, University of Sfax, National Engineering School of Sfax(ENIS), BP 1173, Sfax 3038, Tunisia%VSB Technical University of Ostrava, Czech Republic |
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| Snippet | In this paper, we prove the existence and the global exponential stability of the unique weighted pseudo almost-periodic solution of shunting inhibitory... |
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| SubjectTerms | 34C27 34D20 34K05 34K40 47H10 92B20 global exponential stability mixed delays shunting inhibitory cellular neural networks weighted pseudo almost-periodic solution 伪概周期解 全局指数稳定性 分流 加权 变时滞 混合 细胞神经网络 解的存在性 |
| Title | WEIGHTED PSEUDO ALMOST-PERIODIC SOLUTIONS OF SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH MIXED DELAYS |
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