메뉴 건너뛰기




Volumn 7, Issue 5, 2006, Pages 1178-1192

Delay-dependent asymptotic stability for neural networks with distributed delays

Author keywords

Distributed delays; Local and global asymptotic stability; Lyapunov functionals; Neural networks

Indexed keywords

DELAY CONTROL SYSTEMS; DISTRIBUTED PARAMETER CONTROL SYSTEMS; FUNCTION EVALUATION; LYAPUNOV METHODS; NEURAL NETWORKS;

EID: 33745147222     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2005.11.001     Document Type: Article
Times cited : (44)

References (30)
  • 1
    • 0026895542 scopus 로고
    • The gamma model-a new neural model for temporal precesing
    • De Vries B., and Principle J.C. The gamma model-a new neural model for temporal precesing. Neural Networks 5 (1992) 565-576
    • (1992) Neural Networks , vol.5 , pp. 565-576
    • De Vries, B.1    Principle, J.C.2
  • 3
    • 0001075269 scopus 로고
    • Stability in asymmetric Hopfield networks with transmission delays
    • Gopalsamy K., and He X. 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.2
  • 4
    • 0028542772 scopus 로고
    • Delay-independent stability in bi-directional associative memory networks
    • Gopalsamy K., and He X. Delay-independent stability in bi-directional associative memory networks. IEEE Trans. Neural Networks 5 (1994) 998-1002
    • (1994) IEEE Trans. Neural Networks , vol.5 , pp. 998-1002
    • Gopalsamy, K.1    He, X.2
  • 6
    • 13544260498 scopus 로고    scopus 로고
    • Hopf bifurcation and chaos analysis of Chen's system with distributed delays
    • Liao X.F., and Chen G. Hopf bifurcation and chaos analysis of Chen's system with distributed delays. Chaos, Solitons Fractals 25 1 (2005) 11-23
    • (2005) Chaos, Solitons Fractals , vol.25 , Issue.1 , pp. 11-23
    • Liao, X.F.1    Chen, G.2
  • 7
    • 0036755232 scopus 로고    scopus 로고
    • Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach
    • Liao X.F., Chen G., and Sanchez E.N. Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach. Neural Networks 15 (2002) 855-866
    • (2002) Neural Networks , vol.15 , pp. 855-866
    • Liao, X.F.1    Chen, G.2    Sanchez, E.N.3
  • 8
    • 0036647562 scopus 로고    scopus 로고
    • LMI-based approach for asymptotically stability analysis of delayed neural networks
    • Liao X.F., Chen G., and Sanchez E.N. LMI-based approach for asymptotically stability analysis of delayed neural networks. IEEE Trans. Circuits Systems-I 49 (2002) 1033-1039
    • (2002) IEEE Trans. Circuits Systems-I , vol.49 , pp. 1033-1039
    • Liao, X.F.1    Chen, G.2    Sanchez, E.N.3
  • 9
    • 10844285334 scopus 로고    scopus 로고
    • An LMI approach to asymptotical stability of multi-delayed neural networks
    • Liao X.F., and Li C.D. An LMI approach to asymptotical stability of multi-delayed neural networks. Phys. D 200 1-2 (2005) 139-155
    • (2005) Phys. D , vol.200 , Issue.1-2 , pp. 139-155
    • Liao, X.F.1    Li, C.D.2
  • 10
    • 1942454843 scopus 로고    scopus 로고
    • Bifurcation analysis on a two-neuron system with distributed delays in the frequency domain
    • Liao X.F., Li S.W., and Chen G. Bifurcation analysis on a two-neuron system with distributed delays in the frequency domain. Neural Networks 17 4 (2004) 545-561
    • (2004) Neural Networks , vol.17 , Issue.4 , pp. 545-561
    • Liao, X.F.1    Li, S.W.2    Chen, G.3
  • 11
    • 8444240791 scopus 로고    scopus 로고
    • Criteria for exponential stability of Cohen-Grossberg neural networks
    • Liao X.F., Li C.G., and Wong K.W. Criteria for exponential stability of Cohen-Grossberg neural networks. Neural Networks 17 (2004) 1401-1414
    • (2004) Neural Networks , vol.17 , pp. 1401-1414
    • Liao, X.F.1    Li, C.G.2    Wong, K.W.3
  • 12
    • 1842587731 scopus 로고    scopus 로고
    • Robust stability of interval bi-directional associative memory neural networks with time delays
    • Liao X.F., and Wong K.W. Robust stability of interval bi-directional associative memory neural networks with time delays. IEEE Trans. Man Cybernetics 34 2 (2004) 1141-1154
    • (2004) IEEE Trans. Man Cybernetics , vol.34 , Issue.2 , pp. 1141-1154
    • Liao, X.F.1    Wong, K.W.2
  • 13
    • 0035372163 scopus 로고    scopus 로고
    • Hopf bifurcation and chaos in a single delayed neuron equation with nonmonotonic activation function
    • Liao X.F., Wong K.W., Leung C.S., and Wu Z.F. Hopf bifurcation and chaos in a single delayed neuron equation with nonmonotonic activation function. Chaos, Solitons Fractals 21 (2001) 1535-1547
    • (2001) Chaos, Solitons Fractals , vol.21 , pp. 1535-1547
    • Liao, X.F.1    Wong, K.W.2    Leung, C.S.3    Wu, Z.F.4
  • 14
    • 1542507110 scopus 로고    scopus 로고
    • Global exponential stability for a class of generalized neural networks with distributed delays
    • Liao X.F., Wong K.W., and Li C.G. Global exponential stability for a class of generalized neural networks with distributed delays. Nonlinear Anal.: Real World Appl. 5 (2004) 527-547
    • (2004) Nonlinear Anal.: Real World Appl. , vol.5 , pp. 527-547
    • Liao, X.F.1    Wong, K.W.2    Li, C.G.3
  • 15
    • 0035254276 scopus 로고    scopus 로고
    • Bifurcation analysis in a two-neuron system with distributed delays
    • Liao X.F., Wong K.W., and Wu Z.F. Bifurcation analysis in a two-neuron system with distributed delays. Physica D 149 (2001) 123-141
    • (2001) Physica D , vol.149 , pp. 123-141
    • Liao, X.F.1    Wong, K.W.2    Wu, Z.F.3
  • 16
    • 0037280036 scopus 로고    scopus 로고
    • Asymptotic stability criteria for a two-neuron network with different time delays
    • Liao X.F., Wong K.W., and Wu Z.F. Asymptotic stability criteria for a two-neuron network with different time delays. IEEE Trans. Neural Networks 14 1 (2003) 222-227
    • (2003) IEEE Trans. Neural Networks , vol.14 , Issue.1 , pp. 222-227
    • Liao, X.F.1    Wong, K.W.2    Wu, Z.F.3
  • 17
    • 0035508792 scopus 로고    scopus 로고
    • Novel robust stability criteria for interval delayed Hopfield neural networks with time delays
    • Liao X.F., Wong K.W., Wu Z.F., and Chen G. Novel robust stability criteria for interval delayed Hopfield neural networks with time delays. IEEE Tran. Systems I 48 (2001) 1355-1359
    • (2001) IEEE Tran. Systems I , vol.48 , pp. 1355-1359
    • Liao, X.F.1    Wong, K.W.2    Wu, Z.F.3    Chen, G.4
  • 18
    • 10444237980 scopus 로고    scopus 로고
    • Stability analysis for delayed cellular neural networks based on linear matrix inequality approach
    • Liao X.F., Wong K.W., and Yang S.Z. Stability analysis for delayed cellular neural networks based on linear matrix inequality approach. Int. J. Bifurcation Chaos. 14 9 (2004) 3377-3384
    • (2004) Int. J. Bifurcation Chaos. , vol.14 , Issue.9 , pp. 3377-3384
    • Liao, X.F.1    Wong, K.W.2    Yang, S.Z.3
  • 19
    • 33747980962 scopus 로고    scopus 로고
    • Stability switches and bifurcation analysis of a neural network with continuously delay
    • Liao X.F., Wu Z.F., and Yu J.B. Stability switches and bifurcation analysis of a neural network with continuously delay. IEEE Trans. Syst. Man Cybernetics 29 (1999) 692-696
    • (1999) IEEE Trans. Syst. Man Cybernetics , vol.29 , pp. 692-696
    • Liao, X.F.1    Wu, Z.F.2    Yu, J.B.3
  • 20
    • 0032165293 scopus 로고    scopus 로고
    • Robust interval stability analysis of Hopfield networks with time delays
    • Liao X.F., and Yu J.B. Robust interval stability analysis of Hopfield networks with time delays. IEEE Trans. Neural Networks 9 (1998) 1042-1045
    • (1998) IEEE Trans. Neural Networks , vol.9 , pp. 1042-1045
    • Liao, X.F.1    Yu, J.B.2
  • 21
    • 0035639130 scopus 로고    scopus 로고
    • Novel stability conditions for cellular neural networks with time delays
    • Liao X.F., Yu J.B., and Chen G. Novel stability conditions for cellular neural networks with time delays. Int. J. Bifurcation Chaos 11 7 (2001) 1853-1864
    • (2001) Int. J. Bifurcation Chaos , vol.11 , Issue.7 , pp. 1853-1864
    • Liao, X.F.1    Yu, J.B.2    Chen, G.3
  • 24
    • 0000046438 scopus 로고    scopus 로고
    • Transient oscillations in continuous-time excitatory ring neural networks with delay
    • Pakdaman K., Malta C.P., et al. Transient oscillations in continuous-time excitatory ring neural networks with delay. Phys. Rev. E 55 (1997) 3234-3248
    • (1997) Phys. Rev. E , vol.55 , pp. 3234-3248
    • Pakdaman, K.1    Malta, C.P.2
  • 25
    • 6344254943 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of cellular neural networks with time-varying delays
    • Qiang Zhang, Xiaopeng Wei, and Jin Xu. Delay-dependent exponential stability of cellular neural networks with time-varying delays. Chaos, Solitons Fractals 23 4 (2005) 1363-1369
    • (2005) Chaos, Solitons Fractals , vol.23 , Issue.4 , pp. 1363-1369
    • Qiang Zhang1    Xiaopeng Wei2    Jin Xu3
  • 26
    • 2042474111 scopus 로고    scopus 로고
    • Hopf bifurcation in a Volterra prey-predator model with strong kernel
    • Shaowen Li, Liao X.F., and Li C.G. Hopf bifurcation in a Volterra prey-predator model with strong kernel. Chaos, Solitons Fractal 22 3 (2004) 713-722
    • (2004) Chaos, Solitons Fractal , vol.22 , Issue.3 , pp. 713-722
    • Shaowen Li1    Liao, X.F.2    Li, C.G.3
  • 27
    • 0023317858 scopus 로고
    • Neural computational by concentrating information in time
    • Tank D.W., and Hopfield J.J. Neural computational by concentrating information in time. Proc. Natl. Acad. Sci. 84 (1987) 1896-1991
    • (1987) Proc. Natl. Acad. Sci. , vol.84 , pp. 1896-1991
    • Tank, D.W.1    Hopfield, J.J.2
  • 28
    • 20444455020 scopus 로고    scopus 로고
    • Estimation of exponential convergence rate and exponential stability for neural networks with time-varying delay
    • Tu F.H., and Liao X.F. Estimation of exponential convergence rate and exponential stability for neural networks with time-varying delay. Chaos, Solitons Fractals 26 5 (2005) 1499-1505
    • (2005) Chaos, Solitons Fractals , vol.26 , Issue.5 , pp. 1499-1505
    • Tu, F.H.1    Liao, X.F.2
  • 29
    • 18844455550 scopus 로고    scopus 로고
    • Harmless delays for global asymptotic stability of Cohen-Grossberg neural networks
    • Tu F.H., and Liao X.F. Harmless delays for global asymptotic stability of Cohen-Grossberg neural networks. Chaos, Solitons Fractals 26 3 (2005) 927-933
    • (2005) Chaos, Solitons Fractals , vol.26 , Issue.3 , pp. 927-933
    • Tu, F.H.1    Liao, X.F.2
  • 30
    • 0032298907 scopus 로고    scopus 로고
    • Global attractivity in delayed Hopfield neural networks model
    • Van den Driessche P., and Zou X. 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.