메뉴 건너뛰기




Volumn 232, Issue 1, 1999, Pages 61-81

On the Global Convergence of a Class of Functional Differential Equations with Applications in Neural Network Theory

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0002328180     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1998.6240     Document Type: Article
Times cited : (107)

References (22)
  • 1
    • 0020118274 scopus 로고
    • Neural networks and physical systems with emergent collective computational abilities
    • Hopfield J. J. Neural networks and physical systems with emergent collective computational abilities. Proc. Natl. Acad. Sci. 79:1982;2554-2558.
    • (1982) Proc. Natl. Acad. Sci. , vol.79 , pp. 2554-2558
    • Hopfield, J.J.1
  • 2
    • 0000256610 scopus 로고
    • Stability of analog neural networks with delay
    • Marcus C., Westervelt R. Stability of analog neural networks with delay. Phys. Rev. A. 39:1989;347-359.
    • (1989) Phys. Rev. A , vol.39 , pp. 347-359
    • Marcus, C.1    Westervelt, R.2
  • 3
    • 0030081051 scopus 로고    scopus 로고
    • Frustration, stability, and delay-induced oscillations in a neural network model
    • Campbell S., Bélair J., van de Driessche P. Frustration, stability, and delay-induced oscillations in a neural network model. SIAM J. Appl. Math. 56:1996;245-255.
    • (1996) SIAM J. Appl. Math. , vol.56 , pp. 245-255
    • Campbell, S.1    Bélair, J.2    Van De Driessche, P.3
  • 4
    • 0027154346 scopus 로고
    • Averaged networks
    • Burton T. A. Averaged networks. Neural Networks. 6:1993;677-680.
    • (1993) Neural Networks , vol.6 , pp. 677-680
    • Burton, T.A.1
  • 5
    • 0001075269 scopus 로고
    • Stability in asymmetric Hopfield nets with transmission delays
    • Gopalsamy K., He X. Stability in asymmetric Hopfield nets with transmission delays. Physica D. 75:1994;344-358.
    • (1994) Physica D , vol.75 , pp. 344-358
    • Gopalsamy, K.1    He, X.2
  • 7
    • 0027562138 scopus 로고
    • The use of CNN models in the subcortical visual pathway
    • Hámori J., Roska T. The use of CNN models in the subcortical visual pathway. IEEE Trans. Circuits Syst. 40:1993;182-194.
    • (1993) IEEE Trans. Circuits Syst. , vol.40 , pp. 182-194
    • Hámori, J.1    Roska, T.2
  • 8
    • 38249012613 scopus 로고
    • Recent directions in matrix stability
    • Hershkowitz D. Recent directions in matrix stability. Linear Algebra Appl. 171:1992;161-186.
    • (1992) Linear Algebra Appl. , vol.171 , pp. 161-186
    • Hershkowitz, D.1
  • 9
    • 0003285132 scopus 로고
    • Introduction to the Theory of Functional Differential Equations
    • New York: Springer-Verlag
    • Hale J. K., Verduyn Lunel S. M. Introduction to the Theory of Functional Differential Equations. Applied Mathematical Sciences. 99:1991;Springer-Verlag, New York.
    • (1991) Applied Mathematical Sciences , vol.99
    • Hale, J.K.1    Verduyn Lunel, S.M.2
  • 12
    • 43949155364 scopus 로고
    • On global asymptotic stability of a class of nonlinear systems arising in neural network theory
    • Forti M. On global asymptotic stability of a class of nonlinear systems arising in neural network theory. J. Differential Equations. 113:1994;247-264.
    • (1994) J. Differential Equations , vol.113 , pp. 247-264
    • Forti, M.1
  • 13
    • 0012184302 scopus 로고
    • On stability in the large for systems of ordinary differential equations
    • Hartman P. On stability in the large for systems of ordinary differential equations. Canad. J. Math. 13:1961;480-492.
    • (1961) Canad. J. Math. , vol.13 , pp. 480-492
    • Hartman, P.1
  • 15
    • 49049129797 scopus 로고
    • Connectionist models and their properties
    • Feldman J. A., Ballard D. H. Connectionist models and their properties. Cognitive Sci. 5:1982;205-254.
    • (1982) Cognitive Sci. , vol.5 , pp. 205-254
    • Feldman, J.A.1    Ballard, D.H.2
  • 16
    • 0029345226 scopus 로고
    • New conditions for global stability of neural networks with application to linear and quadratic programming problems
    • Forti M., Tesi A. New conditions for global stability of neural networks with application to linear and quadratic programming problems. IEEE Trans. Circuits Syst. 42:1995;354-366.
    • (1995) IEEE Trans. Circuits Syst. , vol.42 , pp. 354-366
    • Forti, M.1    Tesi, A.2
  • 17
    • 0003275073 scopus 로고
    • Differential Topology
    • New York: Springer-Verlag
    • Hirsch M. W. Differential Topology. Graduate Texts in Mathematics. 33:1976;Springer-Verlag, New York.
    • (1976) Graduate Texts in Mathematics , vol.33
    • Hirsch, M.W.1
  • 18
    • 0024909476 scopus 로고
    • Convergent activation dynamics in continuous time networks
    • Hirsch M. W. Convergent activation dynamics in continuous time networks. Neural Networks. 2:1989;331-349.
    • (1989) Neural Networks , vol.2 , pp. 331-349
    • Hirsch, M.W.1
  • 21
    • 0027582973 scopus 로고
    • Stability of cellular neural networks with dominant nonlinear and delay-type templates
    • Roska T., Wu C. W., Chua L. O. Stability of cellular neural networks with dominant nonlinear and delay-type templates. IEEE Trans. Circuits Syst. 40:1993;270-272.
    • (1993) IEEE Trans. Circuits Syst. , vol.40 , pp. 270-272
    • Roska, T.1    Wu, C.W.2    Chua, L.O.3
  • 22
    • 0026882236 scopus 로고
    • Stability and dynamics of delay-type general neural networks
    • Roska T., Wu C., Balsi M., Chua L. O. Stability and dynamics of delay-type general neural networks. IEEE Trans. Circuits Syst. 39:1992;487-490.
    • (1992) IEEE Trans. Circuits Syst. , vol.39 , pp. 487-490
    • Roska, T.1    Wu, C.2    Balsi, M.3    Chua, L.O.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.