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題名 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作者 張又權
Zhang, Yo-Cheng貢獻者 曾睿彬
Tseng, Jui-Pin
張又權
Zhang, Yo-Cheng關鍵詞 神經網絡
主從系統
時間延遲
有界性
全局同步化
Neural network
Master-slave system
Time delays
Boundedness
Global synchronization日期 2022 上傳時間 1-Aug-2022 18:12:28 (UTC+8) 摘要 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.參考文獻 [1] J. Arrieta. On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions. Proceedings of the American Mathematical Society, 136(1):151–160, 2008.[2] S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.U. Hwang. Complex networks: Structure and dynamics. Physics reports, 424(4-5):175–308, 2006.[3] S. Dharani, R. Rakkiyappan, J.D. Cao, and A. Alsaedi. Synchronization of generalized reaction-diffusion neural networks with time-varying delays based on general integral inequalities and sampled-data control approach. Cognitive neurodynamics, 11(4):369–381, 2017.[4] Q.T. Gan, T.L. Liu, C. Liu, and T.S. Lv. Synchronization for a class of generalized neural networks with interval time-varying delays and reaction-diffusion terms. Nonlinearanalysis: modelling and control, 21(3):379–399, 2016.[5] C. Hu, H.J. Jiang, and Z.D. Teng. Impulsive control and synchronization for delayed neural networks with reaction–diffusion terms. IEEE Transactions on Neural Networks, 21(1):67–81, 2009.[6] L.M. Pecora and T.L. Carroll. Synchronization in chaotic systems. Physical review letters, 64(8):821, 1990.[7] Y. Sheng, H. Zhang, and Z.G. Zeng. Synchronization of reaction–diffusion neural networks with dirichlet boundary conditions and infinite delays. IEEE transactions on cybernetics, 47(10):3005–3017, 2017.[8] J.P. Tseng. Global synchronization of coupled reaction–diffusion neural networks with general couplings via an iterative approach. IMA Journal of Applied Mathematics, 85(4): 635–669, 2020.[9] Z.G. Wu, P. Shi, H.Y. Su, and J. Chu. Exponential synchronization of neural networks with discrete and distributed delays under time-varying sampling. IEEE Transactions on Neural Networks and Learning Systems, 23(9):1368–1376, 2012.[10] P. Yan and T. Lv. Exponential synchronization of delayed reaction-diffusion neural networks with general boundary conditions. The Rocky Mountain Journal of Mathematics, pages 1037–1057, 2013.[11] X.S. Yang, J.D. Cao, and Z.C. Yang. Synchronization of coupled reaction-diffusion neural networks with time-varying delays via pinning-impulsive controller. SIAM Journal on Control and Optimization, 51(5):3486–3510, 2013.[12] X.S. Yang, Q. Song, J.D. Cao, and J.Q. Lu. Synchronization of coupled markovian reaction–diffusion neural networks with proportional delays via quantized control. IEEE transactions on neural networks and learning systems, 30(3):951–958, 2018.[13] H. Zhang, Z.G. Zeng, and Q.L. Han. Synchronization of multiple reaction–diffusion neural networks with heterogeneous and unbounded time-varying delays. IEEE Transactions on Cybernetics, 49(8):2980–2991, 2018. 描述 碩士
國立政治大學
應用數學系
108751017資料來源 http://thesis.lib.nccu.edu.tw/record/#G0108751017 資料類型 thesis dc.contributor.advisor 曾睿彬 zh_TW dc.contributor.advisor Tseng, Jui-Pin en_US dc.contributor.author (Authors) 張又權 zh_TW dc.contributor.author (Authors) Zhang, Yo-Cheng en_US dc.creator (作者) 張又權 zh_TW dc.creator (作者) Zhang, Yo-Cheng en_US dc.date (日期) 2022 en_US dc.date.accessioned 1-Aug-2022 18:12:28 (UTC+8) - dc.date.available 1-Aug-2022 18:12:28 (UTC+8) - dc.date.issued (上傳時間) 1-Aug-2022 18:12:28 (UTC+8) - dc.identifier (Other Identifiers) G0108751017 en_US dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/141179 - dc.description (描述) 碩士 zh_TW dc.description (描述) 國立政治大學 zh_TW dc.description (描述) 應用數學系 zh_TW dc.description (描述) 108751017 zh_TW dc.description.abstract (摘要) 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。 zh_TW dc.description.abstract (摘要) 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. en_US dc.description.tableofcontents 致謝 ii中文摘要 iiiAbstract ivContents v1 Introduction 12 Preliminaries 53 Main results 103.1 Boundedness of solutions of system 103.2 Synchronization of system 224 Conclusion. 28Bibliography 29 zh_TW dc.format.extent 477630 bytes - dc.format.mimetype application/pdf - dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0108751017 en_US dc.subject (關鍵詞) 神經網絡 zh_TW dc.subject (關鍵詞) 主從系統 zh_TW dc.subject (關鍵詞) 時間延遲 zh_TW dc.subject (關鍵詞) 有界性 zh_TW dc.subject (關鍵詞) 全局同步化 zh_TW dc.subject (關鍵詞) Neural network en_US dc.subject (關鍵詞) Master-slave system en_US dc.subject (關鍵詞) Time delays en_US dc.subject (關鍵詞) Boundedness en_US dc.subject (關鍵詞) Global synchronization en_US dc.title (題名) 具時間延遲之主從反應擴散神經網絡的有界性與同步化 zh_TW dc.title (題名) Boundedness and synchronization of master-slave reaction-diffusion neural networks with time delays en_US dc.type (資料類型) thesis en_US dc.relation.reference (參考文獻) [1] J. Arrieta. On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions. Proceedings of the American Mathematical Society, 136(1):151–160, 2008.[2] S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.U. Hwang. Complex networks: Structure and dynamics. Physics reports, 424(4-5):175–308, 2006.[3] S. Dharani, R. Rakkiyappan, J.D. Cao, and A. Alsaedi. Synchronization of generalized reaction-diffusion neural networks with time-varying delays based on general integral inequalities and sampled-data control approach. Cognitive neurodynamics, 11(4):369–381, 2017.[4] Q.T. Gan, T.L. Liu, C. Liu, and T.S. Lv. Synchronization for a class of generalized neural networks with interval time-varying delays and reaction-diffusion terms. Nonlinearanalysis: modelling and control, 21(3):379–399, 2016.[5] C. Hu, H.J. Jiang, and Z.D. Teng. Impulsive control and synchronization for delayed neural networks with reaction–diffusion terms. IEEE Transactions on Neural Networks, 21(1):67–81, 2009.[6] L.M. Pecora and T.L. Carroll. Synchronization in chaotic systems. Physical review letters, 64(8):821, 1990.[7] Y. Sheng, H. Zhang, and Z.G. Zeng. Synchronization of reaction–diffusion neural networks with dirichlet boundary conditions and infinite delays. IEEE transactions on cybernetics, 47(10):3005–3017, 2017.[8] J.P. Tseng. Global synchronization of coupled reaction–diffusion neural networks with general couplings via an iterative approach. IMA Journal of Applied Mathematics, 85(4): 635–669, 2020.[9] Z.G. Wu, P. Shi, H.Y. Su, and J. Chu. Exponential synchronization of neural networks with discrete and distributed delays under time-varying sampling. IEEE Transactions on Neural Networks and Learning Systems, 23(9):1368–1376, 2012.[10] P. Yan and T. Lv. Exponential synchronization of delayed reaction-diffusion neural networks with general boundary conditions. The Rocky Mountain Journal of Mathematics, pages 1037–1057, 2013.[11] X.S. Yang, J.D. Cao, and Z.C. Yang. Synchronization of coupled reaction-diffusion neural networks with time-varying delays via pinning-impulsive controller. SIAM Journal on Control and Optimization, 51(5):3486–3510, 2013.[12] X.S. Yang, Q. Song, J.D. Cao, and J.Q. Lu. Synchronization of coupled markovian reaction–diffusion neural networks with proportional delays via quantized control. IEEE transactions on neural networks and learning systems, 30(3):951–958, 2018.[13] H. Zhang, Z.G. Zeng, and Q.L. Han. Synchronization of multiple reaction–diffusion neural networks with heterogeneous and unbounded time-varying delays. IEEE Transactions on Cybernetics, 49(8):2980–2991, 2018. zh_TW dc.identifier.doi (DOI) 10.6814/NCCU202200851 en_US
