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具時延的細(xì)胞神經(jīng)網(wǎng)絡(luò)的全局漸近穩(wěn)定性分析

曹進(jìn)德

曹進(jìn)德. 具時延的細(xì)胞神經(jīng)網(wǎng)絡(luò)的全局漸近穩(wěn)定性分析[J]. 電子與信息學(xué)報, 2000, 22(2): 253-259.
引用本文: 曹進(jìn)德. 具時延的細(xì)胞神經(jīng)網(wǎng)絡(luò)的全局漸近穩(wěn)定性分析[J]. 電子與信息學(xué)報, 2000, 22(2): 253-259.
Cao Jinde. GLOBAL ASYMPOTOTIC STABILITY ANALYSIS OF DELAYED CELLULAR NEURAL NETWORKS[J]. Journal of Electronics & Information Technology, 2000, 22(2): 253-259.
Citation: Cao Jinde. GLOBAL ASYMPOTOTIC STABILITY ANALYSIS OF DELAYED CELLULAR NEURAL NETWORKS[J]. Journal of Electronics & Information Technology, 2000, 22(2): 253-259.

具時延的細(xì)胞神經(jīng)網(wǎng)絡(luò)的全局漸近穩(wěn)定性分析

GLOBAL ASYMPOTOTIC STABILITY ANALYSIS OF DELAYED CELLULAR NEURAL NETWORKS

  • 摘要: 本文通過Lyapunov泛函方法和新的不等式a2b(2a3+b3)/3,(a,b0)分析技巧,討論了一類具時延的細(xì)胞神經(jīng)網(wǎng)絡(luò)DCNN全局漸近穩(wěn)定性問題,得到了若干新的充分判據(jù),這些判據(jù)可用于設(shè)計出各種全局穩(wěn)定的網(wǎng)絡(luò)。
  • Chua L O, Yang L. Cellular neural networks: Theory. IEEE Trans., 1988, CAS-35(10): 1257-1272.[2]Chua L O, Yang L. Cellular neural networks: Applications. IEEE Trans.,1988, CAS-35(10):1273-1290.[3]Roska T, Chua L O. Cellular neural networks with nonlinear and delay-type template[J].Int. J.Circuit Theory Appl.1992, 20:469-481[4]廖曉昕.細(xì)胞神經(jīng)網(wǎng)絡(luò)的數(shù)學(xué)理論(Ⅱ).中國科學(xué),1994,24(10):1037-1046.[5]Civalleri P P, Gilli M. On stability of cellular neural networks with delay. IEEE Trans. on CAS,1993, CAS-40(3): 157-165.[6]盧宏濤,何振亞.帶時延的細(xì)胞神經(jīng)網(wǎng)絡(luò)的無條件穩(wěn)定性.電子學(xué)報,1997,25(1):1-4.[7]Cao Jinde, Zhou Dongming. Stability analysis of delayed cellular neural networks[J].Neural Networks.1998, 11(9):1601-1605[8]Cao Jinde. Global stability analysis in delayed cellular neural networks[J].Phys. Rev. E.1999,59(5):5940-5944[9]Cao Jinde. Global stability in delayed cellular neural networks. Neural Networks for Signal Processing IX-Proceedings of the 1999 IEEE Workshop, IEEE, Wisconsin: 1999.[10]Cao Jinde. Periodic solutions and exponential stability in delayed cellular neural networks[J].Phys.Rev. E.1999, 60(3):3244-3248[11]Hale J K. Theory of Functional Differentional Equations. New York: Springer, 1997. [12]Gopalsamy K. Stability and Oscillation in Delay Differential Equations of Population Dynamics.Kluwer Academic, Dordrecht, Netherlands: 1992, 45.
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出版歷程
  • 收稿日期:  1998-05-12
  • 修回日期:  1999-05-29
  • 刊出日期:  2000-03-19

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