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Volumn 5, Issue 1, 2011, Pages 52-77

Exponential stability for stochastic jumping BAM neural networks with time-varying and distributed delays

Author keywords

Distributed delay; Exponential stability; Linear matrix inequality; Lyapunov functional; Markovian jump parameter; Stochastic BAM neural network

Indexed keywords

BAM NEURAL NETWORK; DISTRIBUTED DELAYS; EXPONENTIAL STABILITY; LINEAR MATRIX; LYAPUNOV FUNCTIONALS; MARKOVIAN JUMP PARAMETERS;

EID: 78649448787     PISSN: 1751570X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nahs.2010.08.005     Document Type: Article
Times cited : (89)

References (41)
  • 1
    • 0023491172 scopus 로고
    • Adaptive bi-directional associative memories
    • Kosko B. Adaptive bi-directional associative memories. Appl. Opt. 1987, 26(23):4947-4960.
    • (1987) Appl. Opt. , vol.26 , Issue.23 , pp. 4947-4960
    • Kosko, B.1
  • 2
    • 0023861743 scopus 로고
    • Bi-directional associative memories
    • Kosko B. Bi-directional associative memories. IEEE Trans. Syst. Man Cybern. 1988, 18(1):49-60.
    • (1988) IEEE Trans. Syst. Man Cybern. , vol.18 , Issue.1 , pp. 49-60
    • Kosko, B.1
  • 4
    • 1542680900 scopus 로고    scopus 로고
    • Exponential stability of BAM neural networks with transmission delays
    • Chen A., Cao J., Huang L. Exponential stability of BAM neural networks with transmission delays. Neurocomputing 2004, 57:435-454.
    • (2004) Neurocomputing , vol.57 , pp. 435-454
    • Chen, A.1    Cao, J.2    Huang, L.3
  • 5
    • 55549126494 scopus 로고    scopus 로고
    • Global robust exponential stability of discrete-time interval BAM neural networks with time-varying delays
    • Gao M., Cui B. Global robust exponential stability of discrete-time interval BAM neural networks with time-varying delays. Appl. Math. Model. 2009, 33(3):1270-1284.
    • (2009) Appl. Math. Model. , vol.33 , Issue.3 , pp. 1270-1284
    • Gao, M.1    Cui, B.2
  • 6
    • 78649442189 scopus 로고    scopus 로고
    • New stability criteria for BAM neural networks with time-varying delays
    • Hu L., Liu H., Zhao Y. New stability criteria for BAM neural networks with time-varying delays. Neurocomputing 2009, 72(13-15):3245-3252.
    • (2009) Neurocomputing , vol.72 , Issue.13-15 , pp. 3245-3252
    • Hu, L.1    Liu, H.2    Zhao, Y.3
  • 7
    • 33751202426 scopus 로고    scopus 로고
    • Global exponential stability of impulsive high-order BAM neural networks with time-varying delays
    • Ho D.W.C., Liang J., Lam J. Global exponential stability of impulsive high-order BAM neural networks with time-varying delays. Neural Netw. 2006, 19(10):1581-1590.
    • (2006) Neural Netw. , vol.19 , Issue.10 , pp. 1581-1590
    • Ho, D.W.C.1    Liang, J.2    Lam, J.3
  • 8
    • 61849143858 scopus 로고    scopus 로고
    • Stability and existence of periodic solutions to delayed CohenCGrossberg BAM neural networks with impulses on time scales
    • Li Y., Chen X., Zhao L. Stability and existence of periodic solutions to delayed CohenCGrossberg BAM neural networks with impulses on time scales. Neurocomputing 2009, 72(7-9):1621-1630.
    • (2009) Neurocomputing , vol.72 , Issue.7-9 , pp. 1621-1630
    • Li, Y.1    Chen, X.2    Zhao, L.3
  • 9
    • 12544255691 scopus 로고    scopus 로고
    • Delay-dependent exponential stability analysis of bi-directional associative memory neural networks with time delay: an LMI approach
    • Li C., Liao X., Zhang R. Delay-dependent exponential stability analysis of bi-directional associative memory neural networks with time delay: an LMI approach. Chaos Solitons Fractals 2005, 24(4):1119-1134.
    • (2005) Chaos Solitons Fractals , vol.24 , Issue.4 , pp. 1119-1134
    • Li, C.1    Liao, X.2    Zhang, R.3
  • 10
    • 1942504907 scopus 로고    scopus 로고
    • Global asymptotic stability of bi-directional associative memory networks with distributed delays
    • Liang J., Cao J. Global asymptotic stability of bi-directional associative memory networks with distributed delays. Appl. Math. Comput. 2004, 152(2):415-424.
    • (2004) Appl. Math. Comput. , vol.152 , Issue.2 , pp. 415-424
    • Liang, J.1    Cao, J.2
  • 11
    • 33748428176 scopus 로고    scopus 로고
    • Existence and exponential stability of periodic solution for BAM neural networks with periodic coefficients and delays
    • Liu Y., Tang W. Existence and exponential stability of periodic solution for BAM neural networks with periodic coefficients and delays. Neurocomputing 2006, 69(16-18):2152-2160.
    • (2006) Neurocomputing , vol.69 , Issue.16-18 , pp. 2152-2160
    • Liu, Y.1    Tang, W.2
  • 12
    • 33747345952 scopus 로고    scopus 로고
    • Absolute exponential stability analysis of delayed bi-directional associative memory neural networks
    • Lou X., Cui B. Absolute exponential stability analysis of delayed bi-directional associative memory neural networks. Chaos Solitons Fractals 2007, 31(3):695-701.
    • (2007) Chaos Solitons Fractals , vol.31 , Issue.3 , pp. 695-701
    • Lou, X.1    Cui, B.2
  • 13
    • 42649106518 scopus 로고    scopus 로고
    • A new stability criterion for bidirectional associative memory neural networks of neutral-type
    • Park Ju H., Park C.H., Kwon O.M., Lee S.M. A new stability criterion for bidirectional associative memory neural networks of neutral-type. Appl. Math. Comput. 2008, 199:716-722.
    • (2008) Appl. Math. Comput. , vol.199 , pp. 716-722
    • Park, J.H.1    Park, C.H.2    Kwon, O.M.3    Lee, S.M.4
  • 14
    • 65349152420 scopus 로고    scopus 로고
    • Global asymptotic stability of BAM neural networks with mixed delays and impulses
    • Samidurai R., Sakthivel R., Anthoni S.M. Global asymptotic stability of BAM neural networks with mixed delays and impulses. Appl. Math. Comput. 2009, 212(1):113-119.
    • (2009) Appl. Math. Comput. , vol.212 , Issue.1 , pp. 113-119
    • Samidurai, R.1    Sakthivel, R.2    Anthoni, S.M.3
  • 15
    • 69049089735 scopus 로고    scopus 로고
    • Stability and Hopf bifurcation analysis on a four-neuron BAM neural network with distributed delays
    • Wang B., Jian J. Stability and Hopf bifurcation analysis on a four-neuron BAM neural network with distributed delays. Nonlinear Sci. Numer. Simul. 2010, 15(2):189-204.
    • (2010) Nonlinear Sci. Numer. Simul. , vol.15 , Issue.2 , pp. 189-204
    • Wang, B.1    Jian, J.2
  • 16
    • 67649853063 scopus 로고    scopus 로고
    • New delay-dependent global asymptotic stability criteria of delayed BAM neural networks
    • Yang D., Hu C., Chen Y., Wei P., Yang H. New delay-dependent global asymptotic stability criteria of delayed BAM neural networks. Chaos Solitons Fractals 2009, 42(2):854-864.
    • (2009) Chaos Solitons Fractals , vol.42 , Issue.2 , pp. 854-864
    • Yang, D.1    Hu, C.2    Chen, Y.3    Wei, P.4    Yang, H.5
  • 17
    • 35649020279 scopus 로고    scopus 로고
    • Existence and exponential stability of almost periodic solution for BAM neural networks with variable coefficients and delays
    • Zhang L., Si L. Existence and exponential stability of almost periodic solution for BAM neural networks with variable coefficients and delays. Appl. Math. Comput. 2007, 194(1):215-223.
    • (2007) Appl. Math. Comput. , vol.194 , Issue.1 , pp. 215-223
    • Zhang, L.1    Si, L.2
  • 18
    • 0037071084 scopus 로고    scopus 로고
    • Global stability of bidirectional associative memory neural networks with distributed delays
    • Zhao H. Global stability of bidirectional associative memory neural networks with distributed delays. Phys. Lett. A 2002, 297(3-4):182-190.
    • (2002) Phys. Lett. A , vol.297 , Issue.3-4 , pp. 182-190
    • Zhao, H.1
  • 19
    • 61849089381 scopus 로고    scopus 로고
    • Global exponential stability of impulsive BAM neural networks with distributed delays
    • Zhou J., Li S. Global exponential stability of impulsive BAM neural networks with distributed delays. Neurocomputing 2009, 72(7-9):1688-1693.
    • (2009) Neurocomputing , vol.72 , Issue.7-9 , pp. 1688-1693
    • Zhou, J.1    Li, S.2
  • 20
    • 33745348656 scopus 로고    scopus 로고
    • Exponential stability of delayed recurrent neural networks with Markovian jumping parameters
    • Wang Z., Liu Y., Yu L., Liu X. Exponential stability of delayed recurrent neural networks with Markovian jumping parameters. Phys. Lett. A 2006, 356(4-5):346-352.
    • (2006) Phys. Lett. A , vol.356 , Issue.4-5 , pp. 346-352
    • Wang, Z.1    Liu, Y.2    Yu, L.3    Liu, X.4
  • 21
    • 33845900219 scopus 로고    scopus 로고
    • Delay-dependent stochastic stability of delayed Hopfield neural networks with Markovian jump parameters
    • Lou X., Cui B. Delay-dependent stochastic stability of delayed Hopfield neural networks with Markovian jump parameters. J. Math. Anal. Appl. 2007, 328(1):316-326.
    • (2007) J. Math. Anal. Appl. , vol.328 , Issue.1 , pp. 316-326
    • Lou, X.1    Cui, B.2
  • 23
    • 67549137666 scopus 로고    scopus 로고
    • Delay-dependent robust stability analysis for Markovian jumping stochastic Cohen-Grossberg neural networks with discrete interval and distributed time-varying delays
    • Balasubramaniam P., Rakkiyappan R. Delay-dependent robust stability analysis for Markovian jumping stochastic Cohen-Grossberg neural networks with discrete interval and distributed time-varying delays. Nonlinear Anal. Hybrid syst. 2009, 3(3):207-214.
    • (2009) Nonlinear Anal. Hybrid syst. , vol.3 , Issue.3 , pp. 207-214
    • Balasubramaniam, P.1    Rakkiyappan, R.2
  • 24
    • 69249220113 scopus 로고    scopus 로고
    • Stochastic stability of Markovian jumping Hopfield neural networks with constant and distributed delays
    • Liu H., Zhao L., Zhang Z., Ou Y. Stochastic stability of Markovian jumping Hopfield neural networks with constant and distributed delays. Neurocomputing 2009, 72(16-18):3669-3674.
    • (2009) Neurocomputing , vol.72 , Issue.16-18 , pp. 3669-3674
    • Liu, H.1    Zhao, L.2    Zhang, Z.3    Ou, Y.4
  • 25
    • 52549106965 scopus 로고    scopus 로고
    • On delay-dependent robust exponential stability of stochastic neural networks with mixed time delays and Markovian switching
    • Liu Y., Wang Z., Liu X. On delay-dependent robust exponential stability of stochastic neural networks with mixed time delays and Markovian switching. Nonlinear Dyn. 2008, 54:199-212.
    • (2008) Nonlinear Dyn. , vol.54 , pp. 199-212
    • Liu, Y.1    Wang, Z.2    Liu, X.3
  • 26
    • 56649106456 scopus 로고    scopus 로고
    • Exponential stability of hybrid stochastic recurrent neural networks with time-varying delays
    • Peng G., Huang L. Exponential stability of hybrid stochastic recurrent neural networks with time-varying delays. Nonlinear Anal. Hybrid syst. 2008, 2(4):1198-1204.
    • (2008) Nonlinear Anal. Hybrid syst. , vol.2 , Issue.4 , pp. 1198-1204
    • Peng, G.1    Huang, L.2
  • 27
    • 68749109339 scopus 로고    scopus 로고
    • Dynamic analysis of Markovian jumping impulsive stochastic Cohen-Grossberg neural networks with discrete interval and distributed time-varying delays
    • Rakkiyappan R., Balasubramaniam P. Dynamic analysis of Markovian jumping impulsive stochastic Cohen-Grossberg neural networks with discrete interval and distributed time-varying delays. Nonlinear Anal. Hybrid syst. 2009, 3(4):408-417.
    • (2009) Nonlinear Anal. Hybrid syst. , vol.3 , Issue.4 , pp. 408-417
    • Rakkiyappan, R.1    Balasubramaniam, P.2
  • 28
    • 56149090986 scopus 로고    scopus 로고
    • Stabilization of stochastic delayed neural networks with Markovian switching
    • Sun Y., Cao J. Stabilization of stochastic delayed neural networks with Markovian switching. Asian J. Control 2008, 10(3):327-340.
    • (2008) Asian J. Control , vol.10 , Issue.3 , pp. 327-340
    • Sun, Y.1    Cao, J.2
  • 29
    • 67449151971 scopus 로고    scopus 로고
    • Exponential stability in the mean square for stochastic neural networks with mixed time-delays and Markovian jumping parameters
    • Wang G., Cao J., Liang J. Exponential stability in the mean square for stochastic neural networks with mixed time-delays and Markovian jumping parameters. Nonlinear Dyn. 2009, 57(1-2):209-218.
    • (2009) Nonlinear Dyn. , vol.57 , Issue.1-2 , pp. 209-218
    • Wang, G.1    Cao, J.2    Liang, J.3
  • 30
    • 41649114128 scopus 로고    scopus 로고
    • Stochastic exponential stability of the delayed reaction-diffusion recurrent neural networks with Markovian jumping parameters
    • Wang L., Zhang Z., Wang Y. Stochastic exponential stability of the delayed reaction-diffusion recurrent neural networks with Markovian jumping parameters. Phys. Lett. A 2008, 372(18):3201-3209.
    • (2008) Phys. Lett. A , vol.372 , Issue.18 , pp. 3201-3209
    • Wang, L.1    Zhang, Z.2    Wang, Y.3
  • 31
    • 40549140470 scopus 로고    scopus 로고
    • Stability analysis of Markovian jumping stochastic Cohen-Grossberg neural networks with mixed time delays
    • Zhang H., Wang Y. Stability analysis of Markovian jumping stochastic Cohen-Grossberg neural networks with mixed time delays. IEEE Trans. Neural Netw. 2008, 19:366-370.
    • (2008) IEEE Trans. Neural Netw. , vol.19 , pp. 366-370
    • Zhang, H.1    Wang, Y.2
  • 32
    • 77952408442 scopus 로고    scopus 로고
    • Exponential stability of hybrid stochastic neural networks with mixed time delays and nonlinearity
    • Zhou W., Lu H., Duan C. Exponential stability of hybrid stochastic neural networks with mixed time delays and nonlinearity. Neurocomputing 2009, 72(13-15):3357-3365.
    • (2009) Neurocomputing , vol.72 , Issue.13-15 , pp. 3357-3365
    • Zhou, W.1    Lu, H.2    Duan, C.3
  • 33
    • 70349505858 scopus 로고    scopus 로고
    • Stochastic stability of neural networks with both Markovian jump parameters and continuously distributed delays
    • 20 pages (Article ID 490515)
    • Zhu Q., Cao J. Stochastic stability of neural networks with both Markovian jump parameters and continuously distributed delays. Discrete Dyn. Nat. Soc. 2009, 2009. 20 pages (Article ID 490515).
    • (2009) Discrete Dyn. Nat. Soc. , vol.2009
    • Zhu, Q.1    Cao, J.2
  • 34
    • 77955510720 scopus 로고    scopus 로고
    • Robust exponential stability of markovian jump impulsive stochastic Cohen-Grossberg neural networks with mixed time delays
    • Zhu Q., Cao J. Robust exponential stability of markovian jump impulsive stochastic Cohen-Grossberg neural networks with mixed time delays. IEEE Trans. Neural Netw. 2010, 21(8):1314-1325.
    • (2010) IEEE Trans. Neural Netw. , vol.21 , Issue.8 , pp. 1314-1325
    • Zhu, Q.1    Cao, J.2
  • 35
    • 84903188054 scopus 로고    scopus 로고
    • Exponential stability of stochastic neural networks with both Markovian jump parameters and mixed time delays
    • Zhu Q., Cao J. Exponential stability of stochastic neural networks with both Markovian jump parameters and mixed time delays. IEEE Trans. Syst. Man Cybern. B Cybern. 2010, 40(5):1219-1230.
    • (2010) IEEE Trans. Syst. Man Cybern. B Cybern. , vol.40 , Issue.5 , pp. 1219-1230
    • Zhu, Q.1    Cao, J.2
  • 36
    • 77955329498 scopus 로고    scopus 로고
    • Stability analysis for stochastic neural networks of neutral type with both Markovian jump parameters and mixed time delays
    • Zhu Q., Cao J. Stability analysis for stochastic neural networks of neutral type with both Markovian jump parameters and mixed time delays. Neurocomputing 2010, 73(13-15):2671-2680.
    • (2010) Neurocomputing , vol.73 , Issue.13-15 , pp. 2671-2680
    • Zhu, Q.1    Cao, J.2
  • 37
    • 77956395373 scopus 로고    scopus 로고
    • Stochastically asymptotic stability of delayed recurrent neural networks with both Markovian jump parameters and nonlinear disturbances
    • Zhu Q., Yang X., Wang H. Stochastically asymptotic stability of delayed recurrent neural networks with both Markovian jump parameters and nonlinear disturbances. J. Franklin Inst. 2010, 347(2):1489-1510.
    • (2010) J. Franklin Inst. , vol.347 , Issue.2 , pp. 1489-1510
    • Zhu, Q.1    Yang, X.2    Wang, H.3
  • 38
    • 69249219360 scopus 로고    scopus 로고
    • Stability analysis for stochastic BAM neural networks with Markovian jumping parameters
    • Wang G., Cao J., Xu M. Stability analysis for stochastic BAM neural networks with Markovian jumping parameters. Neurocomputing 2009, 72(16-18):3901-3906.
    • (2009) Neurocomputing , vol.72 , Issue.16-18 , pp. 3901-3906
    • Wang, G.1    Cao, J.2    Xu, M.3
  • 40
    • 0034439996 scopus 로고    scopus 로고
    • An integral inequality in the stability problem of time-delay systems, in: Proceedings of 39th IEEE Conference on Decision and Control, Sydney, Australia
    • K. Gu, An integral inequality in the stability problem of time-delay systems, in: Proceedings of 39th IEEE Conference on Decision and Control, Sydney, Australia, 2000, pp. 2805-2810.
    • (2000) , pp. 2805-2810
    • Gu, K.1
  • 41
    • 35348986026 scopus 로고    scopus 로고
    • Convergence analysis of stochastic hybrid bidirectional associative memory neural networks with delays
    • Wan L., Zhou Q. Convergence analysis of stochastic hybrid bidirectional associative memory neural networks with delays. Phys. Let. A 2007, 370(5-6):423-432.
    • (2007) Phys. Let. A , vol.370 , Issue.5-6 , pp. 423-432
    • Wan, L.1    Zhou, Q.2


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