کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4640587 | 1341280 | 2010 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Stability analysis of stochastic functional differential equations with infinite delay and its application to recurrent neural networks
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we investigate the stochastic functional differential equations with infinite delay. Some sufficient conditions are derived to ensure the ppth moment exponential stability and ppth moment global asymptotic stability of stochastic functional differential equations with infinite delay by using Razumikhin method and Lyapunov functions. Based on the obtained results, we further study the ppth moment exponential stability of stochastic recurrent neural networks with unbounded distributed delays. The result extends and improves the earlier publications. Two examples are given to illustrate the applicability of the obtained results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 234, Issue 2, 15 May 2010, Pages 407–417
Journal: Journal of Computational and Applied Mathematics - Volume 234, Issue 2, 15 May 2010, Pages 407–417
نویسندگان
Xiaodi Li, Xilin Fu,