دورية أكاديمية
Almost Periodic Solution for Memristive Neural Networks with Time-Varying Delays
| العنوان: | Almost Periodic Solution for Memristive Neural Networks with Time-Varying Delays |
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| المؤلفون: | Huaiqin Wu, Luying Zhang |
| المصدر: | Journal of Applied Mathematics, Vol 2013 (2013) |
| بيانات النشر: | Wiley, 2013. |
| سنة النشر: | 2013 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | Mathematics, QA1-939 |
| الوصف: | This paper is concerned with the dynamical stability analysis for almost periodic solution of memristive neural networks with time-varying delays. Under the framework of Filippov solutions, by applying the inequality analysis techniques, the existence and asymptotically almost periodic behavior of solutions are discussed. Based on the differential inclusions theory and Lyapunov functional approach, the stability issues of almost periodic solution are investigated, and a sufficient condition for the existence, uniqueness, and global exponential stability of the almost periodic solution is established. Moreover, as a special case, the condition which ensures the global exponential stability of a unique periodic solution is also presented for the considered memristive neural networks. Two examples are given to illustrate the validity of the theoretical results. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1110-757X 1687-0042 |
| Relation: | https://doaj.org/toc/1110-757X; https://doaj.org/toc/1687-0042 |
| DOI: | 10.1155/2013/716172 |
| URL الوصول: | https://doaj.org/article/010684e6dcd94d518a99993de1fd533f |
| رقم الأكسشن: | edsdoj.010684e6dcd94d518a99993de1fd533f |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 1110757X 16870042 |
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| DOI: | 10.1155/2013/716172 |