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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/143171
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/143171


    Title: 具時間延遲之耦合反應擴散神經網路的有界性與絕對穩定性
    Boundedness and absolute stability of coupled reaction-diffusion neural networks with time delays
    Authors: 何明霖
    Ho, Min-Lin
    Contributors: 曾睿彬
    Tseng, Jui-Pin
    何明霖
    Ho, Min-Lin
    Keywords: 神經網路
    反應擴散
    絕對穩定性
    有界性
    主從
    Neural network
    Reaction-diffusion
    Absolute stability
    Boundedness
    Master-slave
    Date: 2023
    Issue Date: 2023-02-01 13:48:52 (UTC+8)
    Abstract: 在本論文中,我們考慮了一類由兩個反應擴散神經網路所組成的具有時
    間延遲耦合系統。兩個神經網路是以主從的方式耦合。我們首先討論耦合
    反應擴散神經網路之解的有界性。然後,我們進一步建立耦合反應擴散神
    經網路的絕對穩定性。有界性與絕對穩定性的判別法可以用簡單的計算檢
    驗。
    In the thesis, we consider a class of coupled systems consisting of two reaction-diffusion neural networks with transmission time delays. These two neral networks
    are coupled in a master-slave manner. First, we discuss the boundedness of the solutions of the coupled reaction-diffusion neural networks. Then, we further establish the absolute stability of the coupled reaction-diffusion neural networks. The boundedness and absolute stability criteria can be verified with simple computa-
    tions.
    Reference: Reference

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    Description: 碩士
    國立政治大學
    應用數學系
    108751009
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0108751009
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

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