메뉴 건너뛰기




Volumn 6, Issue 1, 2009, Pages 189-197

Delay-independent criteria of global exponential stability for Cohen-Grossberg neural networks with time-varying delays

Author keywords

Cohen grossberg neural network; Delay independent criterion; Global exponential stability; Time varying delay

Indexed keywords

COHEN-GROSSBERG NEURAL NETWORK; COHEN-GROSSBERG NEURAL NETWORKS; DELAY INDEPENDENT; DELAY-INDEPENDENT CRITERION; GLOBAL EXPONENTIAL STABILITY; LYAPUNOV FUNCTIONAL; MULTIPLE TIME VARYING DELAYS; NEURAL NETWORK MODEL; STABILITY ANALYSIS; TIME-VARYING DELAY;

EID: 66149098516     PISSN: 15487741     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (2)

References (18)
  • 1
    • 0020970741 scopus 로고
    • Absolute stability and global pattern formation and parallel memory storage by competitive neural networks
    • M. A. Cohen and S. Grossberg, Absolute stability and global pattern formation and parallel memory storage by competitive neural networks, IEEE Trans Syst, Man Cybernetics, 1981, 13 (5): 815-821.
    • (1981) IEEE Trans Syst, Man Cybernetics , vol.13 , Issue.5 , pp. 815-821
    • Cohen, M.A.1    Grossberg, S.2
  • 2
    • 40649128119 scopus 로고
    • Nonlinear neural networks: Principles, mechanisms, and architectures
    • S. Grossberg, Nonlinear neural networks: Principles, mechanisms, and architectures, Neural Networks, 1988, 1 (1): 17-61.
    • (1988) Neural Networks , vol.1 , Issue.1 , pp. 17-61
    • Grossberg, S.1
  • 3
    • 0020118274 scopus 로고
    • Meuronal networks and physical systems with emergent collective computational abilities
    • J. J. Hopfield, Meuronal networks and physical systems with emergent collective computational abilities, Proc National Acad Sci, 1982, 79: 2554-2558.
    • (1982) Proc National Acad Sci , vol.79 , pp. 2554-2558
    • Hopfield, J.J.1
  • 4
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-state neurons
    • J. J. Hopofield, Neurons with graded response have collective computational properties like those of two-state neurons, Proc National Acad Sci, 1984, 81: 3058-3092.
    • (1984) Proc National Acad Sci , vol.81 , pp. 3058-3092
    • Hopofield, J.J.1
  • 5
    • 0036722564 scopus 로고    scopus 로고
    • Harmless delays in Cohen-Grossberg neural networks
    • L. Wang and X. Zou, Harmless delays in Cohen-Grossberg neural networks, Physica D, 2002, 170 (2):. 162-173.
    • (2002) Physica D , vol.170 , Issue.2 , pp. 162-173
    • Wang, L.1    Zou, X.2
  • 6
    • 5644283608 scopus 로고
    • Qualitative analysis of Cohen-Grossberg neural networks with multiple delays
    • H. Ye, A. N. Michel and K. Wang, Qualitative analysis of Cohen-Grossberg neural networks with multiple delays, Phys Rev E, 1995, 51 (3): 2611-2618.
    • (1995) Phys Rev E , vol.51 , Issue.3 , pp. 2611-2618
    • Ye, H.1    Michel, A.N.2    Wang, K.3
  • 7
    • 8444240791 scopus 로고    scopus 로고
    • Criteria for exponential stability of Cohen-Grossberg neural networks
    • X. F. Liao, C. D. Li and K. W. Wong, Criteria for exponential stability of Cohen-Grossberg neural networks, Nural Networks, 2004, 17 (10): 1401-1414.
    • (2004) Nural Networks , vol.17 , Issue.10 , pp. 1401-1414
    • Liao, X.F.1    Li, C.D.2    Wong, K.W.3
  • 8
    • 18844455550 scopus 로고    scopus 로고
    • Harmless delays for global asymptotic stability of Cohen-Grossberg neural networks
    • F. H. Tu, X. F Liao, Harmless delays for global asymptotic stability of Cohen-Grossberg neural networks, Chaos, Solitons & Fractals, 2005, 26 (3): 927-933.
    • (2005) Chaos, Solitons & Fractals , vol.26 , Issue.3 , pp. 927-933
    • Tu, F.H.1    Liao, X.F.2
  • 9
    • 0035276184 scopus 로고    scopus 로고
    • Stabilization role of inhibitory self-connections in a delayed neural network
    • Vanden Driessche P, Wu J, Zou X. Stabilization role of inhibitory self-connections in a delayed neural network. Physica D 2001; 150 (1-2): 84-90.
    • (2001) Physica D , vol.150 , Issue.1-2 , pp. 84-90
    • vanden Driessche, P.1    Wu, J.2    Zou, X.3
  • 10
    • 3442880393 scopus 로고    scopus 로고
    • Boundedness and stability for Cohen-Grossberg neural network with time-varying delays
    • J. D. Cao, J. L. Liang, Boundedness and stability for Cohen-Grossberg neural network with time-varying delays, Journal of Mathematical Analysis and Application 2004; 296 (2): 665-685.
    • (2004) Journal of Mathematical Analysis and Application , vol.296 , Issue.2 , pp. 665-685
    • Cao, J.D.1    Liang, J.L.2
  • 11
    • 20444368794 scopus 로고    scopus 로고
    • Global stability analysis of Cohen-Grossberg neural networks with time varying delays
    • S. Arik, Z. Orman, Global stability analysis of Cohen-Grossberg neural networks with time varying delays, Physics Letters A, 2005; 341 (5-6): 410-421.
    • (2005) Physics Letters A , vol.341 , Issue.5-6 , pp. 410-421
    • Arik, S.1    Orman, Z.2
  • 13
    • 33947128592 scopus 로고    scopus 로고
    • Global asymptotic stability of Cohen-Grossberg neural networks with constant and variable delays
    • W. Wu, B. T. Cui, M. Huang, Global asymptotic stability of Cohen-Grossberg neural networks with constant and variable delays, Chaos, Solitons & Fractals, 2007; 33 (4): 1355-1361
    • (2007) Chaos, Solitons & Fractals , vol.33 , Issue.4 , pp. 1355-1361
    • Wu, W.1    Cui, B.T.2    Huang, M.3
  • 14
    • 33846014280 scopus 로고    scopus 로고
    • Some criteria for asymptotic stability of Cohen-Grossberg neural networks with time-varying delay
    • W. Wu, B. T. Cui, X. Y. Lou, Some criteria for asymptotic stability of Cohen-Grossberg neural networks with time-varying delay, Neurocomputing, 2007; 70 (4-6): 1085-1088
    • (2007) Neurocomputing , vol.70 , Issue.4-6 , pp. 1085-1088
    • Wu, W.1    Cui, B.T.2    Lou, X.Y.3
  • 15
    • 31144462819 scopus 로고    scopus 로고
    • Boundedness and global exponential stability for generalized Cohen-Grossberg neural networks with variable delay
    • M. Hi Jiang, Y. Shen, X. X. Liao. Boundedness and global exponential stability for generalized Cohen-Grossberg neural networks with variable delay. Applied Mathematics and Computation, 2006, 172 (1): 379-393.
    • (2006) Applied Mathematics and Computation , vol.172 , Issue.1 , pp. 379-393
    • Jiang, M.H.1    Shen, Y.2    Liao, X.X.3
  • 17
    • 1242308776 scopus 로고    scopus 로고
    • Robust global exponential stability of Cohen-Grossberg neural networks with time delay
    • T. P. Chen, L. B. Rong, Robust global exponential stability of Cohen-Grossberg neural networks with time delay. IEEE Transactions on Neural Networks, 2004, 15 (1): 203-206.
    • (2004) IEEE Transactions on Neural Networks , vol.15 , Issue.1 , pp. 203-206
    • Chen, T.P.1    Rong, L.B.2
  • 18
    • 18844370416 scopus 로고    scopus 로고
    • Global exponential stability of Cohen-Grossberg neural networks with time-varying delays
    • Liu Jiang, Global exponential stability of Cohen-Grossberg neural networks with time-varying delays, Chaos, Solitons & Fractals, 2005, 26 (3): 935-945
    • (2005) Chaos, Solitons & Fractals , vol.26 , Issue.3 , pp. 935-945
    • Liu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.