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https://ah.lib.nccu.edu.tw/handle/140.119/80552
題名: | Multistability for Delayed Neural Networks via Sequential Contracting | 作者: | Cheng, Chang-Yuan Lin, Kuang-Hui Shih, Chih-Wen Tseng, Jui-Pin |
貢獻者: | 應數系 | 關鍵詞: | Complete stability;delay equations;multistability;neural network | 日期: | Dec-2015 | 上傳時間: | 13-Jan-2016 | 摘要: | In this paper, we explore a variety of new multistability scenarios in the general delayed neural network system. Geometric structure embedded in equations is exploited and incorporated into the analysis to elucidate the underlying dynamics. Criteria derived from different geometric configurations lead to disparate numbers of equilibria. A new approach named sequential contracting is applied to conclude the global convergence to multiple equilibrium points of the system. The formulation accommodates both smooth sigmoidal and piecewise-linear activation functions. Several numerical examples illustrate the present analytic theory. | 關聯: | IEEE Transactions on Neural Networks and Learning Systems, 26(12), 3109-3122. | 資料類型: | article | DOI: | http://dx.doi.org/10.1109/TNNLS.2015.2404801 |
Appears in Collections: | 期刊論文 |
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