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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 2015-12
上傳時間 13-Jan-2016 16:22:43 (UTC+8)
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
dc.contributor 應數系-
dc.creator (作者) Cheng, Chang-Yuan-
dc.creator (作者) Lin, Kuang-Huien_US
dc.creator (作者) Shih, Chih-Wenen_US
dc.creator (作者) Tseng, Jui-Pinen_US
dc.date (日期) 2015-12-
dc.date.accessioned 13-Jan-2016 16:22:43 (UTC+8)-
dc.date.available 13-Jan-2016 16:22:43 (UTC+8)-
dc.date.issued (上傳時間) 13-Jan-2016 16:22:43 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/80552-
dc.description.abstract (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.-
dc.format.extent 130 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) IEEE Transactions on Neural Networks and Learning Systems, 26(12), 3109-3122.-
dc.subject (關鍵詞) Complete stability;delay equations;multistability;neural network-
dc.title (題名) Multistability for Delayed Neural Networks via Sequential Contracting-
dc.type (資料類型) article-
dc.identifier.doi (DOI) 10.1109/TNNLS.2015.2404801-
dc.doi.uri (DOI) http://dx.doi.org/10.1109/TNNLS.2015.2404801-