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| 研究生： |
張又權 Zhang, Yo-Cheng |
|---|---|
| 論文名稱： |
具時間延遲之主從反應擴散神經網絡的有界性與同步化 Boundedness and synchronization of master-slave reaction-diffusion neural networks with time delays |
| 指導教授： |
曾睿彬
Tseng, Jui-Pin |
| 口試委員: |
班榮超
Ban, Jung-Chao 鄭昌遠 Cheng, Chang-Yuan 曾睿彬 Tseng, Jui-Pin |
| 學位類別： |
碩士
Master |
| 系所名稱： |
理學院 - 應用數學系 Department of Mathematical Sciences |
| 論文出版年： | 2022 |
| 畢業學年度： | 110 |
| 語文別： | 英文 |
| 論文頁數： | 30 |
| 中文關鍵詞： | 神經網絡 、主從系統 、時間延遲 、有界性 、全局同步化 |
| 外文關鍵詞： | Neural network, Master-slave system, Time delays, Boundedness, Global synchronization |
| DOI URL： | http://doi.org/10.6814/NCCU202200851 |
| 相關次數： | 點閱：311 下載：68 |
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在本文中，我們考慮了具有時間延遲的主從反應-擴散神經網絡。我們
考慮的網絡可以是離散型時間延遲和分布型時間延遲。我們首先建立所考慮系統的解的有界性。然後，我們進一步研究了所考慮系統的全局同步化。
In this paper, we consider master-slave reaction-diffusion neural networks with time delays. The networks we consider can be with both discrete delays and distributed delays. We first establish the boundedness of the solutions of the considered systems. Then, we further investigate the global synchronization of the considered sysems.
致謝 ii
中文摘要 iii
Abstract iv
Contents v
1 Introduction 1
2 Preliminaries 5
3 Main results 10
3.1 Boundedness of solutions of system 10
3.2 Synchronization of system 22
4 Conclusion. 28
Bibliography 29
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