Weighted pseudo almost-periodic solutions of shunting inhibitory cellular neural networks with mixed delays

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• 作者：Mohammed Salah M'HAMDI<sup>asup><sup> ; sup><sup>mohammedsalah.mhamdi@yahoo.com" class="auth_mail" title="E-mail the corresponding authorsup> ; Chaouki AOUITI<sup>asup><sup> ; sup><sup>chaouki.aouiti@fsb.rnu.tn" class="auth_mail" title="E-mail the corresponding authorsup> ; Abderrahmane TOUATI<sup>asup><sup> ; sup><sup>Abder.Touati@fsb.rnu.tn" class="auth_mail" title="E-mail the corresponding authorsup> ; Adel M. ALIMI<sup>bsup><sup> ; sup><sup>adel.alimi@ieee.org" class="auth_mail" title="E-mail the corresponding authorsup> ; Vaclav SNASEL<sup>csup><sup> ; sup><sup>vaclav.snasel@vsb.cz" class="auth_mail" title="E-mail the corresponding authorsup>
• 关键词：weighted pseudo almost-periodic solution ; shunting inhibitory cellular neural networks ; mixed delays ; global exponential stability
• 刊名：Acta Mathematica Scientia
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：36
• 期：6
• 页码：1662-1682
• 全文大小：360 K

文摘

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.