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Volumn 37, Issue 8, 2010, Pages 5925-5930

New results for robust stability of dynamical neural networks with discrete time delays

Author keywords

Delayed systems; Lyapunov functionals; Neural networks; Robust stability

Indexed keywords

DELAY INDEPENDENT; DELAYED NEURAL NETWORKS; DELAYED SYSTEMS; DISCRETE TIME DELAY; DYNAMICAL NEURAL NETWORKS; EQUILIBRIUM POINT; INTERCONNECTION MATRICES; LYAPUNOV FUNCTIONALS; NETWORK PARAMETERS; NEURAL SYSTEMS; NEW RESULTS; ROBUST ASYMPTOTIC STABILITY; ROBUST STABILITY; SUFFICIENT CONDITIONS; UNCERTAIN PARAMETERS; UPPER BOUND;

EID: 77951204727     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2010.02.013     Document Type: Article
Times cited : (80)

References (35)
  • 1
    • 67349253029 scopus 로고    scopus 로고
    • Robust stability of uncertain fuzzy Cohen Grossberg BAM neural networks with time-varying delays
    • Ali M.S., and Balasubramaniam P. Robust stability of uncertain fuzzy Cohen Grossberg BAM neural networks with time-varying delays. Expert Systems with Applications 36 7 (2009) 10583-10588
    • (2009) Expert Systems with Applications , vol.36 , Issue.7 , pp. 10583-10588
    • Ali, M.S.1    Balasubramaniam, P.2
  • 2
    • 19344376870 scopus 로고    scopus 로고
    • Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays
    • Arik S. Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays. IEEE Transactions on Neural Networks 16 3 (2005) 580-586
    • (2005) IEEE Transactions on Neural Networks , vol.16 , Issue.3 , pp. 580-586
    • Arik, S.1
  • 3
    • 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 Transaction on Circuits and Systems I 47 4 (2000) 571-574
    • (2000) IEEE Transaction on Circuits and Systems I , vol.47 , Issue.4 , pp. 571-574
    • Arik, S.1    Tavsanoglu, V.2
  • 4
    • 2442484035 scopus 로고    scopus 로고
    • Global exponentially robust stability and periodicity of delayed neural networks
    • Cao J., and Chen T. Global exponentially robust stability and periodicity of delayed neural networks. Chaos, Solitons and Fractals 22 (2004) 957-963
    • (2004) Chaos, Solitons and Fractals , vol.22 , pp. 957-963
    • Cao, J.1    Chen, T.2
  • 5
    • 14644434391 scopus 로고    scopus 로고
    • Global asymptotic and robust stability of recurrent neural networks with time delays
    • Cao J., and Wang J. Global asymptotic and robust stability of recurrent neural networks with time delays. IEEE Transactions on Circuits and Systems I 52 (2005) 417-426
    • (2005) IEEE Transactions on Circuits and Systems I , vol.52 , pp. 417-426
    • Cao, J.1    Wang, J.2
  • 6
    • 3142672983 scopus 로고    scopus 로고
    • Global robust stability of delayed recurrent neural networks
    • Cao J., Huang D.S., and Qu Y. Global robust stability of delayed recurrent neural networks. Chaos, Solitons and Fractals 23 1 (2005) 221-229
    • (2005) Chaos, Solitons and Fractals , vol.23 , Issue.1 , pp. 221-229
    • Cao, J.1    Huang, D.S.2    Qu, Y.3
  • 7
    • 33644951682 scopus 로고    scopus 로고
    • Novel results concerning global robust stability delayed neural networks
    • Cao J., Li H.X., and Han L. Novel results concerning global robust stability delayed neural networks. Nonlinear Analysis: Real World Applications 7 (2006) 458-469
    • (2006) Nonlinear Analysis: Real World Applications , vol.7 , pp. 458-469
    • Cao, J.1    Li, H.X.2    Han, L.3
  • 8
    • 36549005113 scopus 로고    scopus 로고
    • Global exponential periodicity and global exponential stability of a class of recurrent neural networks with various activation functions and time-varying delays
    • Chen B., and Wang J. Global exponential periodicity and global exponential stability of a class of recurrent neural networks with various activation functions and time-varying delays. Neural Networks 20 10 (2007) 1067-1080
    • (2007) Neural Networks , vol.20 , Issue.10 , pp. 1067-1080
    • Chen, B.1    Wang, J.2
  • 9
    • 0029345226 scopus 로고
    • New conditions for global stability of neural networks with applications to linear and quadratic programming problems
    • Forti M., and Tesi A. New conditions for global stability of neural networks with applications to linear and quadratic programming problems. IEEE Transaction Circuits and System I 42 7 (1995) 354-365
    • (1995) IEEE Transaction Circuits and System I , vol.42 , Issue.7 , pp. 354-365
    • Forti, M.1    Tesi, A.2
  • 10
    • 38649094006 scopus 로고    scopus 로고
    • Existence and globally exponential stability of periodic solution of BAM neural networks with impulses and recent-history distributed delays
    • Gu H., Jiang H., and Teng Z. Existence and globally exponential stability of periodic solution of BAM neural networks with impulses and recent-history distributed delays. Neurocomputing 71 4-6 (2008) 813-822
    • (2008) Neurocomputing , vol.71 , Issue.4-6 , pp. 813-822
    • Gu, H.1    Jiang, H.2    Teng, Z.3
  • 11
    • 35348944390 scopus 로고    scopus 로고
    • BAM-type CohenGrossberg neural networks with time delays
    • Jiang H., and Cao J. BAM-type CohenGrossberg neural networks with time delays. Mathematical and Computer Modelling 47 1-2 (2008) 92-103
    • (2008) Mathematical and Computer Modelling , vol.47 , Issue.1-2 , pp. 92-103
    • Jiang, H.1    Cao, J.2
  • 12
    • 38649109185 scopus 로고    scopus 로고
    • Stability of non-autonomous bidirectional associative memory neural networks with delay
    • Jiang M., and Shen Y. Stability of non-autonomous bidirectional associative memory neural networks with delay. Neurocomputing 71 4-6 (2008) 863-874
    • (2008) Neurocomputing , vol.71 , Issue.4-6 , pp. 863-874
    • Jiang, M.1    Shen, Y.2
  • 13
    • 0032165293 scopus 로고    scopus 로고
    • Robust stability for interval Hopfield neural networks with time delay
    • Liao X.F., and Yu J. Robust stability for interval Hopfield neural networks with time delay. IEEE Transactions on Neural Networks 9 5 (1998) 1042-1045
    • (1998) IEEE Transactions on Neural Networks , vol.9 , Issue.5 , pp. 1042-1045
    • Liao, X.F.1    Yu, J.2
  • 15
    • 0036647562 scopus 로고    scopus 로고
    • LMI-based approach for asymptotic stability analysis of delayed neural networks
    • Liao X., Chen G., and Sanchez E.N. LMI-based approach for asymptotic stability analysis of delayed neural networks. IEEE Transaction on Circuits and Systems I 49 7 (2002) 1033-1039
    • (2002) IEEE Transaction on Circuits and Systems I , vol.49 , Issue.7 , pp. 1033-1039
    • Liao, X.1    Chen, G.2    Sanchez, E.N.3
  • 16
    • 0036748296 scopus 로고    scopus 로고
    • Novel stability criteria for bidirectional associative memory neural networks with time delays
    • Liao X.F., Yu J., and Chen G. Novel stability criteria for bidirectional associative memory neural networks with time delays. International Journal of Circuit Theory and Applications 30 (2002) 519-546
    • (2002) International Journal of Circuit Theory and Applications , vol.30 , pp. 519-546
    • Liao, X.F.1    Yu, J.2    Chen, G.3
  • 17
    • 36849036837 scopus 로고    scopus 로고
    • An LMI approach to stability analysis of stochastic high-order Markovian jumping neural networks with mixed time delays
    • Liu Y., Wang Z., and Liu X. An LMI approach to stability analysis of stochastic high-order Markovian jumping neural networks with mixed time delays. Nonlinear Analysis: Hybrid Systems 2 1 (2008) 110-120
    • (2008) Nonlinear Analysis: Hybrid Systems , vol.2 , Issue.1 , pp. 110-120
    • Liu, Y.1    Wang, Z.2    Liu, X.3
  • 18
    • 58349115400 scopus 로고    scopus 로고
    • Global stability analysis of interval neural networks with discrete and distributed delays of neutral type
    • Liu L., Han Z., and Li W. Global stability analysis of interval neural networks with discrete and distributed delays of neutral type. Expert Systems with Applications 36 3 (2009) 7328-7331
    • (2009) Expert Systems with Applications , vol.36 , Issue.3 , pp. 7328-7331
    • Liu, L.1    Han, Z.2    Li, W.3
  • 19
    • 38349128566 scopus 로고    scopus 로고
    • On global exponential stability and existence of periodic solutions for BAM neural networks with distributed delays and reaction diffusion terms
    • Lou X., Cui B., and Wu W. On global exponential stability and existence of periodic solutions for BAM neural networks with distributed delays and reaction diffusion terms. Chaos, Solitons and Fractals 36 4 (2008) 1044-1054
    • (2008) Chaos, Solitons and Fractals , vol.36 , Issue.4 , pp. 1044-1054
    • Lou, X.1    Cui, B.2    Wu, W.3
  • 20
    • 38949136712 scopus 로고    scopus 로고
    • Exponential stability of artificial neural networks with distributed delays and large impulses
    • Mohamad S., Gopalsamy K., and Akca H. Exponential stability of artificial neural networks with distributed delays and large impulses. Nonlinear Analysis: Real World Applications 9 3 (2008) 872-888
    • (2008) Nonlinear Analysis: Real World Applications , vol.9 , Issue.3 , pp. 872-888
    • Mohamad, S.1    Gopalsamy, K.2    Akca, H.3
  • 21
    • 31344444201 scopus 로고    scopus 로고
    • Global robust stability analysis of neural networks with multiple time delays
    • Ozcan N., and Arik S. Global robust stability analysis of neural networks with multiple time delays. IEEE Transactions on Circuits and Systems I 53 1 (2006) 166-176
    • (2006) IEEE Transactions on Circuits and Systems I , vol.53 , Issue.1 , pp. 166-176
    • Ozcan, N.1    Arik, S.2
  • 22
    • 40749144474 scopus 로고    scopus 로고
    • On global stability criterion of neural networks with continuously distributed delays
    • Park H.J. On global stability criterion of neural networks with continuously distributed delays. Chaos, Solitons and Fractals 37 2 (2008) 444-449
    • (2008) Chaos, Solitons and Fractals , vol.37 , Issue.2 , pp. 444-449
    • Park, H.J.1
  • 23
    • 34248636542 scopus 로고    scopus 로고
    • New sufficient conditions for global robust stability of delayed neural networks
    • Qi H. New sufficient conditions for global robust stability of delayed neural networks. IEEE Transactions on Circuits and Systems I 54 5 (2007) 1131-1141
    • (2007) IEEE Transactions on Circuits and Systems I , vol.54 , Issue.5 , pp. 1131-1141
    • Qi, H.1
  • 24
    • 40749147693 scopus 로고    scopus 로고
    • A new global robust stability criteria for uncertain neural networks with fast time-varying delays
    • Qiu J., Zhang J., Wang J., Xia Y., and Shi P. A new global robust stability criteria for uncertain neural networks with fast time-varying delays. Chaos, Solitons and Fractals 37 2 (2008) 360-368
    • (2008) Chaos, Solitons and Fractals , vol.37 , Issue.2 , pp. 360-368
    • Qiu, J.1    Zhang, J.2    Wang, J.3    Xia, Y.4    Shi, P.5
  • 25
    • 35148875941 scopus 로고    scopus 로고
    • Global robust stability of bidirectional associative memory neural networks with multiple time delays
    • Senan S., and Arik S. Global robust stability of bidirectional associative memory neural networks with multiple time delays. IEEE Transaction on Systems, Man and Cybernetics - Part B 37 5 (2007) 1375-1381
    • (2007) IEEE Transaction on Systems, Man and Cybernetics - Part B , vol.37 , Issue.5 , pp. 1375-1381
    • Senan, S.1    Arik, S.2
  • 26
    • 40949087195 scopus 로고    scopus 로고
    • Neural networks with discrete and distributed time-varying delays: A general stability analysis
    • Song Q., and Wang Z. Neural networks with discrete and distributed time-varying delays: A general stability analysis. Chaos, Solitons and Fractals 37 5 (2008) 1538-1547
    • (2008) Chaos, Solitons and Fractals , vol.37 , Issue.5 , pp. 1538-1547
    • Song, Q.1    Wang, Z.2
  • 27
    • 37249055492 scopus 로고    scopus 로고
    • Global exponential stability of impulsive Cohen Grossberg neural network with time-varying delays
    • Song Q., and Zhang J. Global exponential stability of impulsive Cohen Grossberg neural network with time-varying delays. Nonlinear Analysis: Real World Applications 9 2 (2008) 500-510
    • (2008) Nonlinear Analysis: Real World Applications , vol.9 , Issue.2 , pp. 500-510
    • Song, Q.1    Zhang, J.2
  • 28
    • 0037314654 scopus 로고    scopus 로고
    • Global robust exponential stability of interval neural networks with delays
    • Sun C., and Feng C.B. Global robust exponential stability of interval neural networks with delays. Neural Processing Letters 17 (2003) 107-115
    • (2003) Neural Processing Letters , vol.17 , pp. 107-115
    • Sun, C.1    Feng, C.B.2
  • 29
    • 38649104498 scopus 로고    scopus 로고
    • Global exponential stability of a class of BAM networks with time-varying delays and continuously distributed delays
    • Wang B., Jian J., and Guo C. Global exponential stability of a class of BAM networks with time-varying delays and continuously distributed delays. Neurocomputing 71 4-6 (2008) 495-501
    • (2008) Neurocomputing , vol.71 , Issue.4-6 , pp. 495-501
    • Wang, B.1    Jian, J.2    Guo, C.3
  • 30
    • 64049099834 scopus 로고    scopus 로고
    • Global exponential stability of delayed reaction diffusion neural networks with time-varying coefficients
    • Wu R., and Zhang W. Global exponential stability of delayed reaction diffusion neural networks with time-varying coefficients. Expert Systems with Applications 36 6 (2009) 9834-9838
    • (2009) Expert Systems with Applications , vol.36 , Issue.6 , pp. 9834-9838
    • Wu, R.1    Zhang, W.2
  • 31
    • 0035365656 scopus 로고    scopus 로고
    • Convergence analysis of delayed cellular neural networks with unbounded delay
    • Yi Z., Heng P.A., and Leung K.S. Convergence analysis of delayed cellular neural networks with unbounded delay. IEEE Transaction on Circuits and Systems I 48 6 (2001) 680-687
    • (2001) IEEE Transaction on Circuits and Systems I , vol.48 , Issue.6 , pp. 680-687
    • Yi, Z.1    Heng, P.A.2    Leung, K.S.3
  • 32
    • 38349173932 scopus 로고    scopus 로고
    • Global exponential stability conditions for generalized state-space systems with time-varying delays
    • Yu K.W., and Lien C.H. Global exponential stability conditions for generalized state-space systems with time-varying delays. Chaos, Solitons and Fractals 36 4 (2008) 920-927
    • (2008) Chaos, Solitons and Fractals , vol.36 , Issue.4 , pp. 920-927
    • Yu, K.W.1    Lien, C.H.2
  • 33
    • 40649108801 scopus 로고    scopus 로고
    • Existence and exponential stability of almost periodic solution for Hopfield-type neural networks with impulse
    • Zhang H., and Xia Y. Existence and exponential stability of almost periodic solution for Hopfield-type neural networks with impulse. Chaos, Solitons and Fractals 37 4 (2008) 1076-1082
    • (2008) Chaos, Solitons and Fractals , vol.37 , Issue.4 , pp. 1076-1082
    • Zhang, H.1    Xia, Y.2
  • 34
    • 0035263905 scopus 로고    scopus 로고
    • Global stability analysis of bidirectional associative memory neural networks with time delay
    • Zhang J., and Yang Y. Global stability analysis of bidirectional associative memory neural networks with time delay. International Journal of Circuit Theory and Applications 29 (2001) 185-196
    • (2001) International Journal of Circuit Theory and Applications , vol.29 , pp. 185-196
    • Zhang, J.1    Yang, Y.2
  • 35
    • 38349169341 scopus 로고    scopus 로고
    • Delay-dependent exponential stability criteria for non-autonomous cellular neural networks with time-varying delays
    • Zhang Q., Wei X., and Xu J. Delay-dependent exponential stability criteria for non-autonomous cellular neural networks with time-varying delays. Chaos, Solitons and Fractals 36 4 (2008) 985-990
    • (2008) Chaos, Solitons and Fractals , vol.36 , Issue.4 , pp. 985-990
    • Zhang, Q.1    Wei, X.2    Xu, J.3


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