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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/80552

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/80552

Title:	Multistability for Delayed Neural Networks via Sequential Contracting
Authors:	Cheng, Chang-Yuan Lin, Kuang-Hui Shih, Chih-Wen Tseng, Jui-Pin
Contributors:	應數系
Keywords:	Complete stability;delay equations;multistability;neural network
Date:	2015-12
Issue Date:	2016-01-13 16:22:43 (UTC+8)
Abstract:	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.
Relation:	IEEE Transactions on Neural Networks and Learning Systems, 26(12), 3109-3122.
Data Type:	article
DOI 連結:	http://dx.doi.org/10.1109/TNNLS.2015.2404801
DOI:	10.1109/TNNLS.2015.2404801
Appears in Collections:	[應用數學系] 期刊論文

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