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Volumn 48, Issue 5, 2003, Pages 794-797

On the global stability of delayed neural networks

Author keywords

Delayed neural networks; Global asymptotic stability; Lyapunov functional; Non Lipschitzian activation functions

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; FUNCTIONS; LYAPUNOV METHODS; MATHEMATICAL MODELS;

EID: 0038631954     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.811255     Document Type: Article
Times cited : (77)

References (21)
  • 1
    • 0035953652 scopus 로고    scopus 로고
    • Stability of cellular neural networks with delay
    • Q. Zhang, R. Ma, and J. Xu, "Stability of cellular neural networks with delay," Electron. Lett., vol. 37, pp. 575-576, 2001.
    • (2001) Electron. Lett. , vol.37 , pp. 575-576
    • Zhang, Q.1    Ma, R.2    Xu, J.3
  • 2
    • 0035303488 scopus 로고    scopus 로고
    • A set of stability criteria for delayed cellular neural networks
    • Apr.
    • J. Cao, "A set of stability criteria for delayed cellular neural networks," IEEE Trans. Circuits Syst. I, vol. 48, pp. 494-498, Apr. 2001.
    • (2001) IEEE Trans. Circuits Syst. I , vol.48 , pp. 494-498
    • Cao, J.1
  • 3
    • 0032589602 scopus 로고    scopus 로고
    • Global stability analysis in delayed cellular neural networks
    • _, "Global stability analysis in delayed cellular neural networks," Phys. Rev. E, vol. 59, pp. 5940-5944, 1999.
    • (1999) Phys. Rev. E , vol.59 , pp. 5940-5944
  • 4
    • 0032418487 scopus 로고    scopus 로고
    • Stability analysis of delayed cellular neural networks
    • J. Cao and D. Zhou, "Stability analysis of delayed cellular neural networks," Neural Networks, vol. 11, pp. 1601-1605, 1998.
    • (1998) Neural Networks , vol.11 , pp. 1601-1605
    • Cao, J.1    Zhou, D.2
  • 5
    • 0345984486 scopus 로고    scopus 로고
    • On stability of delayed neural networks
    • J. Cao, "On stability of delayed neural networks," Phys. Lett. A, vol. 261, pp. 303-308, 1999.
    • (1999) Phys. Lett. A , vol.261 , pp. 303-308
    • Cao, J.1
  • 6
    • 0034548914 scopus 로고    scopus 로고
    • On stability of nonlinear continuous-time neural networks with delays
    • H. Lu, "On stability of nonlinear continuous-time neural networks with delays," Neural Networks, vol. 13, pp. 1135-1143, 2000.
    • (2000) Neural Networks , vol.13 , pp. 1135-1143
    • Lu, H.1
  • 7
    • 0026913847 scopus 로고
    • Cellular neural networks with nonlinear and delay type template
    • T. Roska and L. O. Chua, "Cellular neural networks with nonlinear and delay type template," Int. J. Circuit Theory Applicat., vol. 20, pp. 469-481, 1992.
    • (1992) Int. J. Circuit Theory Applicat. , vol.20 , pp. 469-481
    • Roska, T.1    Chua, L.O.2
  • 8
    • 0027582973 scopus 로고
    • Stability of cellular neural networks with dominant nonlinear and delay-type template
    • Apr.
    • T. Roska, C. W. Wu, and L. O. Chua, "Stability of cellular neural networks with dominant nonlinear and delay-type template," IEEE Trans. Circuits Syst. I, vol. 40, pp. 270-272, Apr. 1993.
    • (1993) IEEE Trans. Circuits Syst. I , vol.40 , pp. 270-272
    • Roska, T.1    Wu, C.W.2    Chua, L.O.3
  • 9
    • 0026882236 scopus 로고
    • Stability and dynamics of delay-type general and cellular neural networks
    • June
    • T. Roska, C. W. Wu, M. Balsi, and L. O. Chua, "Stability and dynamics of delay-type general and cellular neural networks," IEEE Trans. Circuits Syst. I, vol. 39, pp. 487-490, June 1992.
    • (1992) IEEE Trans. Circuits Syst. I , vol.39 , pp. 487-490
    • Roska, T.1    Wu, C.W.2    Balsi, M.3    Chua, L.O.4
  • 10
    • 0028484639 scopus 로고
    • Stability of cellular neural networks and delayed cellular neural networks with nonpositive templates and nonmonotonic output functions
    • Aug.
    • M. Gilli, "Stability of cellular neural networks and delayed cellular neural networks with nonpositive templates and nonmonotonic output functions," IEEE Trans. Circuit Syst. I, vol. 41, pp. 518-528, Aug. 1994.
    • (1994) IEEE Trans. Circuit Syst. I , vol.41 , pp. 518-528
    • Gilli, M.1
  • 11
    • 0027259801 scopus 로고
    • Stability analysis of generalized cellular neural networks
    • C. Guzelis and L. O. Chua, "Stability analysis of generalized cellular neural networks," Int. J. Circuit Theory Applicat., vol. 21, pp. 1-33, 1993.
    • (1993) Int. J. Circuit Theory Applicat. , vol.21 , pp. 1-33
    • Guzelis, C.1    Chua, L.O.2
  • 12
    • 0027666910 scopus 로고
    • On the dynamic behavior of two-cell cellular neural networks
    • P. P. Civalleri and M. Gilli, "On the dynamic behavior of two-cell cellular neural networks," Int. J. Circuit Theory Appl., vol. 21, pp. 451-471, 1993.
    • (1993) Int. J. Circuit Theory Appl. , vol.21 , pp. 451-471
    • Civalleri, P.P.1    Gilli, M.2
  • 13
    • 0032298907 scopus 로고    scopus 로고
    • Global attractivity in delayed hopfield neural network nodels
    • P. V. D. Driessche and X. Zhou, "Global attractivity in delayed hopfield neural network nodels," SIAM J. Appl. Math., vol. 58, pp. 1878-1890, 1998.
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 1878-1890
    • Driessche, P.V.D.1    Zhou, X.2
  • 14
    • 0034233270 scopus 로고    scopus 로고
    • Results concerning the absolute stability of delayed neural networks
    • M. Joy, "Results concerning the absolute stability of delayed neural networks," Neural Networks, vol. 13, pp. 613-616, 2000.
    • (2000) Neural Networks , vol.13 , pp. 613-616
    • Joy, M.1
  • 15
    • 0034226201 scopus 로고    scopus 로고
    • Stability analysis of delayed neural networks
    • S. Arik, "Stability analysis of delayed neural networks," IEEE Trans. Circuits Syst., vol. 47, pp. 1089-1092, 2000.
    • (2000) IEEE Trans. Circuits Syst. , vol.47 , pp. 1089-1092
    • Arik, S.1
  • 16
    • 0033730279 scopus 로고    scopus 로고
    • On the global asymptotic stability of delayed cellular neural networks
    • Apr.
    • S. Arik and V. Tavsanoglu, "On the global asymptotic stability of delayed cellular neural networks," IEEE Trans. Circuits Syst. I, vol. 47, pp. 571-574, Apr. 2000.
    • (2000) IEEE Trans. Circuits Syst. I , vol.47 , pp. 571-574
    • Arik, S.1    Tavsanoglu, V.2
  • 17
    • 0035272288 scopus 로고    scopus 로고
    • Global exponential stability of neural networks with globally Lipschitz continuous activations and its application to linear variational inequality problem
    • Mar.
    • X. B. Liang and J. Si, "Global exponential stability of neural networks with globally Lipschitz continuous activations and its application to linear variational inequality problem," IEEE Trans. Neural Networks, vol. 12, pp. 349-359, Mar. 2001.
    • (2001) IEEE Trans. Neural Networks , vol.12 , pp. 349-359
    • Liang, X.B.1    Si, J.2
  • 18
    • 0035272372 scopus 로고    scopus 로고
    • Nonlinear measures: A new approach to exponential stability analysis for Hopfield-type neural networks
    • Q. Hong, J. Peng, and Z. B. Xu, "Nonlinear measures: a new approach to exponential stability analysis for Hopfield-type neural networks," IEEE Trans. Neural Networks, vol. 12, pp. 360-370, 2001.
    • (2001) IEEE Trans. Neural Networks , vol.12 , pp. 360-370
    • Hong, Q.1    Peng, J.2    Xu, Z.B.3
  • 20
    • 0034801030 scopus 로고    scopus 로고
    • On the stability of delayed neural networks systems
    • Mar.
    • C. Feng and R. Plamondon, "On the stability of delayed neural networks systems," Neural Networks, vol. 14, pp. 1181-1188, Mar. 2001.
    • (2001) Neural Networks , vol.14 , pp. 1181-1188
    • Feng, C.1    Plamondon, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.