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Volumn 26, Issue 5, 2005, Pages 1499-1505

Estimation of exponential convergence rate and exponential stability for neural networks with time-varying delay

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DELAY CIRCUITS; FUNCTIONS; MATRIX ALGEBRA; PARAMETER ESTIMATION; STABILITY; TIME VARYING NETWORKS;

EID: 20444455020     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.04.014     Document Type: Article
Times cited : (10)

References (24)
  • 1
    • 0004469897 scopus 로고
    • Neuron with graded response have collective computational properties like those of two-state neurons
    • J.J. Hopfield, and D.W. Tank Neuron with graded response have collective computational properties like those of two-state neurons Proc Natl Acad Sci 79 1984 3088 3092
    • (1984) Proc Natl Acad Sci , vol.79 , pp. 3088-3092
    • Hopfield, J.J.1    Tank, D.W.2
  • 2
    • 0022504321 scopus 로고
    • Computing with neural circuits: A model
    • J.J. Hopfield, and D.W. Tank Computing with neural circuits: A model Science 233 1986 625 633
    • (1986) Science , vol.233 , pp. 625-633
    • Hopfield, J.J.1    Tank, D.W.2
  • 3
    • 0028468031 scopus 로고
    • How delays affect neural dynamics and learning
    • P. Baldi, and A.F. Atiya How delays affect neural dynamics and learning IEEE Trans Neural Networks 5 1994 612 621
    • (1994) IEEE Trans Neural Networks , vol.5 , pp. 612-621
    • Baldi, P.1    Atiya, A.F.2
  • 4
    • 0035254276 scopus 로고    scopus 로고
    • Bifurcation analysis on a two-neuron system with distributed delays
    • X.F. Liao, K.-W. Wong, and Z. Wu Bifurcation analysis on a two-neuron system with distributed delays Physica D 140 2001 123 141
    • (2001) Physica D , vol.140 , pp. 123-141
    • Liao, X.F.1    Wong, K.-W.2    Wu, Z.3
  • 5
    • 0035372163 scopus 로고    scopus 로고
    • Hopf bifurcation and chaos in a single delayed neuron equation with non-monotonic activation function
    • X.F. Liao, K.-W. Wong, C.-S. Leung, and Z. Wu Hopf bifurcation and chaos in a single delayed neuron equation with non-monotonic activation function Chaos, Solitons & Fractals 12 2001 1535 1547
    • (2001) Chaos, Solitons & Fractals , vol.12 , pp. 1535-1547
    • Liao, X.F.1    Wong, K.-W.2    Leung, C.-S.3    Wu, Z.4
  • 7
    • 0028497220 scopus 로고
    • Exponential stability and oscillation of Hopfield graded response neural network
    • H. Yang, and T.S. Dillon Exponential stability and oscillation of Hopfield graded response neural network IEEE Trans Neural Networks 5 1994 719 729
    • (1994) IEEE Trans Neural Networks , vol.5 , pp. 719-729
    • Yang, H.1    Dillon, T.S.2
  • 8
    • 0033332523 scopus 로고    scopus 로고
    • Estimate of exponential convergence rate and exponential stability for neural networks
    • Y. Zhang, P.A. Heng, and A.W.C. Fu Estimate of exponential convergence rate and exponential stability for neural networks IEEE Trans Neural Networks 10 1999 1487 1493
    • (1999) IEEE Trans Neural Networks , vol.10 , pp. 1487-1493
    • Zhang, Y.1    Heng, P.A.2    Fu, A.W.C.3
  • 9
    • 0000256610 scopus 로고
    • Stability of analogy neural networks with delay
    • C.M. Marcus, and R.M. Westervelt Stability of analogy neural networks with delay Phys Rev A 39 2 1989 347 359
    • (1989) Phys Rev a , vol.39 , Issue.2 , pp. 347-359
    • Marcus, C.M.1    Westervelt, R.M.2
  • 10
    • 0001075269 scopus 로고
    • Stability in asymmetric Hopfield networks with transmission delays
    • K. Gopalsamy, and X.Z. He Stability in asymmetric Hopfield networks with transmission delays Physica D 76 1994 344 358
    • (1994) Physica D , vol.76 , pp. 344-358
    • Gopalsamy, K.1    He, X.Z.2
  • 11
    • 0032298907 scopus 로고    scopus 로고
    • Global attractivity in delayed Hopfield neural networks model
    • P. Van den Driessche, and X. Zou Global attractivity in delayed Hopfield neural networks model SIAM J Appl Math 58 1998 1878 1890
    • (1998) SIAM J Appl Math , vol.58 , pp. 1878-1890
    • Van Den Driessche, P.1    Zou, X.2
  • 12
    • 0000791959 scopus 로고
    • Global stability and local stability of Hopfield neural networks with delays
    • H. Ye, A.N. Michel, and K. Wang Global stability and local stability of Hopfield neural networks with delays Phys Rev E 50 1994 4206 4213
    • (1994) Phys Rev e , vol.50 , pp. 4206-4213
    • Ye, H.1    Michel, A.N.2    Wang, K.3
  • 13
    • 0032165293 scopus 로고    scopus 로고
    • Robust stability for interval Hopfield neural networks with time delay
    • X.F. Liao, and J. Yu Robust stability for interval Hopfield neural networks with time delay IEEE Trans Neural Networks 9 1998 1042 1046
    • (1998) IEEE Trans Neural Networks , vol.9 , pp. 1042-1046
    • Liao, X.F.1    Yu, J.2
  • 14
    • 0032069555 scopus 로고    scopus 로고
    • Qualitative analysis of bidirectional associative memory networks with time delays
    • X.F. Liao, and J. Yu Qualitative analysis of bidirectional associative memory networks with time delays Int J Circ Theory Appl 26 1998 219 229
    • (1998) Int J Circ Theory Appl , vol.26 , pp. 219-229
    • Liao, X.F.1    Yu, J.2
  • 15
    • 0035639130 scopus 로고    scopus 로고
    • Novel stability conditions for cellular neural networks with time delay
    • X.F. Liao, K.-W. Wong, and J. Yu Novel stability conditions for cellular neural networks with time delay Int J Bifurcat Chaos 11 7 2001 1835 1864
    • (2001) Int J Bifurcat Chaos , vol.11 , Issue.7 , pp. 1835-1864
    • Liao, X.F.1    Wong, K.-W.2    Yu, J.3
  • 16
    • 0034226201 scopus 로고    scopus 로고
    • Stability analysis of delayed neural networks
    • S. Arik Stability analysis of delayed neural networks IEEE Trans Circ Syst I 47 7 2000 1089 1092
    • (2000) IEEE Trans Circ Syst I , vol.47 , Issue.7 , pp. 1089-1092
    • Arik, S.1
  • 17
    • 0030087313 scopus 로고    scopus 로고
    • Global exponential stability and periodic solutions of delay Hopfield neural networks
    • Y. Zhang Global exponential stability and periodic solutions of delay Hopfield neural networks Int J Syst Sci 27 2 1996 227 231
    • (1996) Int J Syst Sci , vol.27 , Issue.2 , pp. 227-231
    • Zhang, Y.1
  • 18
    • 0034729056 scopus 로고    scopus 로고
    • Periodic oscillation and exponential stability of delayed CNNs
    • J. Cao Periodic oscillation and exponential stability of delayed CNNs Phys Lett A 270 2000 157 163
    • (2000) Phys Lett a , vol.270 , pp. 157-163
    • Cao, J.1
  • 19
    • 0026882236 scopus 로고
    • Stability and dynamics of delay-type general neural networks
    • T. Roska, C.W. Wu, M. Balsi, and L.O. Chua Stability and dynamics of delay-type general neural networks IEEE Trans Circ Syst 39 1992 487 490
    • (1992) IEEE Trans Circ Syst , vol.39 , pp. 487-490
    • Roska, T.1    Wu, C.W.2    Balsi, M.3    Chua, L.O.4
  • 20
    • 0027582973 scopus 로고
    • Stability of cellular neural network with dominant nonlinear and delay-type templates
    • T. Roska, C.W. Wu, and L.O. Chua Stability of cellular neural network with dominant nonlinear and delay-type templates IEEE Trans Circ Syst 40 1993 270 272
    • (1993) IEEE Trans Circ Syst , vol.40 , pp. 270-272
    • Roska, T.1    Wu, C.W.2    Chua, L.O.3
  • 21
    • 0034233270 scopus 로고    scopus 로고
    • Results concerning the absolute stability of delayed neural networks
    • M.P. Joy Results concerning the absolute stability of delayed neural networks Neural Networks 13 2000 613 616
    • (2000) Neural Networks , vol.13 , pp. 613-616
    • Joy, M.P.1
  • 24
    • 0003285132 scopus 로고
    • Introduction to the theory of functional differential equations
    • Springer New York
    • J.K. Hale, and S.M. Verduyn Lunel Introduction to the theory of functional differential equations Applied mathematical sciences vol. 99 1991 Springer New York
    • (1991) Applied Mathematical Sciences , vol.99
    • Hale, J.K.1    Verduyn Lunel, S.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.