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| 題名 | Multistability for Delayed Neural Networks via Sequential Contracting |
| 作者 | 曾睿彬 Tseng, Jui-Pin Cheng, Chang-Yuan Lin, Kuang-Hui Shih, Chih-Wen |
| 貢獻者 | 應數系 |
| 日期 | 2015-12 |
| 上傳時間 | 25-一月-2016 11:12:56 (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 piecewiselinear activation functions. Several numerical examples illustrate the present analytic theory. |
| 關聯 | IEEE Transactions on Neural Networks and Learning Systems, Vol.26, No.12, pp.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) | 曾睿彬 | zh_TW |
| dc.creator (作者) | Tseng, Jui-Pin | - |
| dc.creator (作者) | Cheng, Chang-Yuan | en_US |
| dc.creator (作者) | Lin, Kuang-Hui | en_US |
| dc.creator (作者) | Shih, Chih-Wen | en_US |
| dc.date (日期) | 2015-12 | - |
| dc.date.accessioned | 25-一月-2016 11:12:56 (UTC+8) | - |
| dc.date.available | 25-一月-2016 11:12:56 (UTC+8) | - |
| dc.date.issued (上傳時間) | 25-一月-2016 11:12:56 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/80760 | - |
| 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 piecewiselinear activation functions. Several numerical examples illustrate the present analytic theory. | - |
| dc.format.extent | 2025387 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | IEEE Transactions on Neural Networks and Learning Systems, Vol.26, No.12, pp.3109 - 3122 | - |
| 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 | - |