政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/141179

政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/141179

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政大機構典藏 > 理學院 > 應用數學系 > 學位論文 > Item 140.119/141179

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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:	2022-08-01 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. Nonlinear analysis: 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
DOI:	10.6814/NCCU202200851
顯示於類別:	[應用數學系] 學位論文

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