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Volumn 70, Issue 13-15, 2007, Pages 2486-2494

New criteria of global exponential stability for a class of generalized neural networks with time-varying delays

Author keywords

Equilibrium point; Generalized neural networks; Global exponential stability; Lyapunov functional; Time varying delays

Indexed keywords

ASSOCIATIVE STORAGE; ASYMPTOTIC STABILITY; CELLULAR NEURAL NETWORKS; HOPFIELD NEURAL NETWORKS; LYAPUNOV FUNCTIONS; MATHEMATICAL MODELS;

EID: 34249666156     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2006.08.002     Document Type: Article
Times cited : (34)

References (28)
  • 1
    • 0032003291 scopus 로고    scopus 로고
    • Equilibrium analysis of delayed CNNs
    • Arik S., and Tavanoglu V. Equilibrium analysis of delayed CNNs. IEEE Trans. Circuits Syst. I 45 2 (1998) 168-171
    • (1998) IEEE Trans. Circuits Syst. I , vol.45 , Issue.2 , pp. 168-171
    • Arik, S.1    Tavanoglu, V.2
  • 2
    • 0033730279 scopus 로고    scopus 로고
    • On the global asymptotic stability of delayed cellular neural networks
    • Arik S., and Tavsanoglu V. On the global asymptotic stability of delayed cellular neural networks. IEEE Trans. Circuits Syst. I 47 4 (2000) 571-574
    • (2000) IEEE Trans. Circuits Syst. I , vol.47 , Issue.4 , pp. 571-574
    • Arik, S.1    Tavsanoglu, V.2
  • 3
    • 24144489692 scopus 로고    scopus 로고
    • Global asymptotic stability analysis of bidirectional associative memory neural networks with constant time delays
    • Arik S., and Tavsanoglu V. Global asymptotic stability analysis of bidirectional associative memory neural networks with constant time delays. Neurocomputing 68 (2005) 161-176
    • (2005) Neurocomputing , vol.68 , pp. 161-176
    • Arik, S.1    Tavsanoglu, V.2
  • 4
    • 0035507277 scopus 로고    scopus 로고
    • Global stability conditions for delayed CNNs
    • Cao J.D. Global stability conditions for delayed CNNs. IEEE Trans. Circuits Syst. I 48 11 (2001) 1330-1333
    • (2001) IEEE Trans. Circuits Syst. I , vol.48 , Issue.11 , pp. 1330-1333
    • Cao, J.D.1
  • 5
    • 0035262752 scopus 로고    scopus 로고
    • Global exponential stability of Hopfield neural networks
    • Cao J.D. Global exponential stability of Hopfield neural networks. Int. J. Syst. Sci. 32 2 (2001) 233-236
    • (2001) Int. J. Syst. Sci. , vol.32 , Issue.2 , pp. 233-236
    • Cao, J.D.1
  • 6
    • 0036506075 scopus 로고    scopus 로고
    • Exponential stability and periodic oscillatory solution in BAM networks with delays
    • Cao J., and Wang L. Exponential stability and periodic oscillatory solution in BAM networks with delays. IEEE Trans. Neural Networks 13 2 (2002) 457-463
    • (2002) IEEE Trans. Neural Networks , vol.13 , Issue.2 , pp. 457-463
    • Cao, J.1    Wang, L.2
  • 7
    • 0037216976 scopus 로고    scopus 로고
    • Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
    • Cao J.D., and Wang J. Global asymptotic stability of a general class of recurrent neural networks with time-varying delays. IEEE Trans. Circuits Syst. I 50 1 (2003) 34-44
    • (2003) IEEE Trans. Circuits Syst. I , vol.50 , Issue.1 , pp. 34-44
    • Cao, J.D.1    Wang, J.2
  • 8
    • 1642287604 scopus 로고    scopus 로고
    • Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays
    • Cao J.D., and Wang J. Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays. Neural Networks 17 3 (2004) 379-390
    • (2004) Neural Networks , vol.17 , Issue.3 , pp. 379-390
    • Cao, J.D.1    Wang, J.2
  • 9
    • 15944407968 scopus 로고    scopus 로고
    • Global stability of a class of neural networks with time-varying delay
    • Ensari T., and Arik S. Global stability of a class of neural networks with time-varying delay. IEEE Trans. Circuits Syst. II 52 3 (2005) 126-130
    • (2005) IEEE Trans. Circuits Syst. II , vol.52 , Issue.3 , pp. 126-130
    • Ensari, T.1    Arik, S.2
  • 10
    • 0034801030 scopus 로고    scopus 로고
    • On the stability analysis of delayed neural networks systems
    • Feng C.H., and Plamondon R. On the stability analysis of delayed neural networks systems. Neural Networks 14 (2001) 1181-1188
    • (2001) Neural Networks , vol.14 , pp. 1181-1188
    • Feng, C.H.1    Plamondon, R.2
  • 11
    • 0028542772 scopus 로고
    • Delay-independent stability in bidirectional associative memory networks
    • Gopalsamy K., and He X.Z. Delay-independent stability in bidirectional associative memory networks. IEEE Trans. Neural Networks 5 6 (1994) 998-1002
    • (1994) IEEE Trans. Neural Networks , vol.5 , Issue.6 , pp. 998-1002
    • Gopalsamy, K.1    He, X.Z.2
  • 12
    • 0031672895 scopus 로고    scopus 로고
    • Stability analysis for neural dynamics with time-varying delays
    • Hou C., and Qian J. Stability analysis for neural dynamics with time-varying delays. IEEE Trans. Neural Networks 9 1 (1998) 221-223
    • (1998) IEEE Trans. Neural Networks , vol.9 , Issue.1 , pp. 221-223
    • Hou, C.1    Qian, J.2
  • 13
    • 9744250291 scopus 로고    scopus 로고
    • A new method of Lyapunov functionals for delayed cellular neural networks
    • Li X.M., Huang L.H., and Wu J.H. A new method of Lyapunov functionals for delayed cellular neural networks. IEEE Trans. Circuits Syst. I 51 11 (2004) 2263-2270
    • (2004) IEEE Trans. Circuits Syst. I , vol.51 , Issue.11 , pp. 2263-2270
    • Li, X.M.1    Huang, L.H.2    Wu, J.H.3
  • 14
    • 1942504907 scopus 로고    scopus 로고
    • Global asymptotic stability of bi-directional associative memory networks with distributed delays
    • Liang J.L., and Cao J.D. Global asymptotic stability of bi-directional associative memory networks with distributed delays. Appl. Math. Comput. 152 2 (2004) 415-424
    • (2004) Appl. Math. Comput. , vol.152 , Issue.2 , pp. 415-424
    • Liang, J.L.1    Cao, J.D.2
  • 15
    • 0032644808 scopus 로고    scopus 로고
    • Global stability condition for cellular neural networks with delay
    • Liao T.L., and Wang F.C. Global stability condition for cellular neural networks with delay. IEE Electron. Lett. 35 (1999) 1347-1349
    • (1999) IEE Electron. Lett. , vol.35 , pp. 1347-1349
    • Liao, T.L.1    Wang, F.C.2
  • 16
    • 0000459678 scopus 로고    scopus 로고
    • Global stability for cellular neural networks with time delay
    • Liao T.L., and Wang F.C. Global stability for cellular neural networks with time delay. IEEE Trans. Neural Networks 11 11 (2000) 1481-1484
    • (2000) IEEE Trans. Neural Networks , vol.11 , Issue.11 , pp. 1481-1484
    • Liao, T.L.1    Wang, F.C.2
  • 17
    • 1542345660 scopus 로고    scopus 로고
    • Exponential stability of fuzzy cellular neural networks with constant and time-varying delays
    • Liu Y.Q., and Tang W.S. Exponential stability of fuzzy cellular neural networks with constant and time-varying delays. Phys. Lett. A 323 22 (2004) 224-233
    • (2004) Phys. Lett. A , vol.323 , Issue.22 , pp. 224-233
    • Liu, Y.Q.1    Tang, W.S.2
  • 18
    • 34249712124 scopus 로고    scopus 로고
    • A neural dynamic programming approach for learning control of failure avoidance problems
    • Liu D.R., and Zhang H.G. A neural dynamic programming approach for learning control of failure avoidance problems. Int. J. Intell. Control Syst. 10 (2005) 21-32
    • (2005) Int. J. Intell. Control Syst. , vol.10 , pp. 21-32
    • Liu, D.R.1    Zhang, H.G.2
  • 20
    • 0026913847 scopus 로고
    • Cellular neural networks with nonlinear and delay-type template
    • Roska T., and Chua L.O. Cellular neural networks with nonlinear and delay-type template. Int. J. Circuit Theory Appl. 20 (1992) 469-481
    • (1992) Int. J. Circuit Theory Appl. , vol.20 , pp. 469-481
    • Roska, T.1    Chua, L.O.2
  • 21
    • 0036825795 scopus 로고    scopus 로고
    • Local stability of recurrent networks with time varying weights and inputs
    • Steil J.S. Local stability of recurrent networks with time varying weights and inputs. Neurocomputing 48 (2002) 39-51
    • (2002) Neurocomputing , vol.48 , pp. 39-51
    • Steil, J.S.1
  • 22
    • 0036825527 scopus 로고    scopus 로고
    • A learning method in hopfield neural network for combinatorial optimization problem
    • Wang R.L., Tang Z., and Cao Q.P. A learning method in hopfield neural network for combinatorial optimization problem. Neurocomputing 48 (2002) 1021-1024
    • (2002) Neurocomputing , vol.48 , pp. 1021-1024
    • Wang, R.L.1    Tang, Z.2    Cao, Q.P.3
  • 23
    • 30644469165 scopus 로고    scopus 로고
    • A new approach to exponential stability analysis of neural networks with time-varying delays
    • Xu S.Y., and Lam J. A new approach to exponential stability analysis of neural networks with time-varying delays. Neural Networks 19 (2006) 76-83
    • (2006) Neural Networks , vol.19 , pp. 76-83
    • Xu, S.Y.1    Lam, J.2
  • 24
    • 0142165161 scopus 로고    scopus 로고
    • Global exponential stability of a general class of recurrent neural networks with time-varying delays
    • Zeng Z.G., Wang J., and Liao X.X. Global exponential stability of a general class of recurrent neural networks with time-varying delays. IEEE Trans. Circuits Syst. I 50 10 (2003) 1353-1358
    • (2003) IEEE Trans. Circuits Syst. I , vol.50 , Issue.10 , pp. 1353-1358
    • Zeng, Z.G.1    Wang, J.2    Liao, X.X.3
  • 25
    • 15944420497 scopus 로고    scopus 로고
    • Global asymptotic stability and global exponential stability of neural networks with unbounded time-varying delays
    • Zeng Z.G., Wang J., and Liao X.X. Global asymptotic stability and global exponential stability of neural networks with unbounded time-varying delays. IEEE Trans. Circuits Syst. II 52 3 (2005) 168-173
    • (2005) IEEE Trans. Circuits Syst. II , vol.52 , Issue.3 , pp. 168-173
    • Zeng, Z.G.1    Wang, J.2    Liao, X.X.3
  • 26
    • 0038631954 scopus 로고    scopus 로고
    • On the global stability of delayed neural networks
    • Zhang Q., Ma R.N., Wang C., and Xu J. On the global stability of delayed neural networks. IEEE Trans. Autom. Control 48 5 (2003) 794-797
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.5 , pp. 794-797
    • Zhang, Q.1    Ma, R.N.2    Wang, C.3    Xu, J.4
  • 27
    • 27144541530 scopus 로고    scopus 로고
    • Global exponential stability of a class of generalized neural networks with variable coefficients and distributed delays
    • Springer, Berlin
    • Zhang H.G., and Wang G. Global exponential stability of a class of generalized neural networks with variable coefficients and distributed delays. Proceedings of ICIC 2005, Lecture Notes in Computer Science vol. 3644 (2005), Springer, Berlin 807-817
    • (2005) Proceedings of ICIC 2005, Lecture Notes in Computer Science , vol.3644 , pp. 807-817
    • Zhang, H.G.1    Wang, G.2
  • 28
    • 0037174277 scopus 로고    scopus 로고
    • Globally exponential stability conditions for cellular neural networks with time-varying delays
    • Zhou D.M., and Cao J.D. Globally exponential stability conditions for cellular neural networks with time-varying delays. Appl. Math. Comput. 131 2-3 (2002) 487-496
    • (2002) Appl. Math. Comput. , vol.131 , Issue.2-3 , pp. 487-496
    • Zhou, D.M.1    Cao, J.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.