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Volumn 74, Issue 5, 2011, Pages 720-729

Mean square exponential stability in high-order stochastic impulsive BAM neural networks with time-varying delays

Author keywords

Equilibrium point; High order BAM neural networks; Impulsive; LMI method; Lyapunov functional; Mean square stability; Stochastic

Indexed keywords

EQUILIBRIUM POINT; HIGH-ORDER; IMPULSIVE; LMI METHOD; LYAPUNOV FUNCTIONALS; MEAN SQUARE STABILITY; STOCHASTIC;

EID: 78650742392     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2010.09.011     Document Type: Article
Times cited : (17)

References (42)
  • 1
    • 46749118745 scopus 로고    scopus 로고
    • Robust stability for uncertain stochastic fuzzy BAM neural networks with time-varying delays
    • Ali M.S., Balasubramaniam P. Robust stability for uncertain stochastic fuzzy BAM neural networks with time-varying delays. Physics Letters A 2008, 372:5159-5166.
    • (2008) Physics Letters A , vol.372 , pp. 5159-5166
    • Ali, M.S.1    Balasubramaniam, P.2
  • 2
    • 24144489692 scopus 로고    scopus 로고
    • Global asymptotic stability analysis of bidirectional associative memory neural networks with constant time delays
    • Arik S., Tavsanoglu V. Global asymptotic stability analysis of bidirectional associative memory neural networks with constant time delays. Neurocomputing 2000, 68:161-176.
    • (2000) Neurocomputing , vol.68 , pp. 161-176
    • Arik, S.1    Tavsanoglu, V.2
  • 3
    • 0037609583 scopus 로고    scopus 로고
    • Global asymptotics stability of delayed bi-directional associative memory neural networks
    • Cao J. Global asymptotics stability of delayed bi-directional associative memory neural networks. Applied Mathematics and Computing 2003, 142:333-339.
    • (2003) Applied Mathematics and Computing , vol.142 , pp. 333-339
    • Cao, J.1
  • 4
    • 0037440581 scopus 로고    scopus 로고
    • Exponential stability of delayed bi-directional associative memory networks
    • Cao J., Dong M. Exponential stability of delayed bi-directional associative memory networks. Applied Mathematics and Computing 2003, 135:105-112.
    • (2003) Applied Mathematics and Computing , vol.135 , pp. 105-112
    • Cao, J.1    Dong, M.2
  • 5
    • 0036506075 scopus 로고    scopus 로고
    • Exponential stability and periodic oscillatory solution in BAM networks with delays
    • Cao J., Wang L. Exponential stability and periodic oscillatory solution in BAM networks with delays. IEEE Transactions on Neural Networks 2002, 13:457-463.
    • (2002) IEEE Transactions on Neural Networks , vol.13 , pp. 457-463
    • Cao, J.1    Wang, L.2
  • 6
    • 10644236158 scopus 로고    scopus 로고
    • Exponential stability of high-order bidirectional associative memory neural networks with time delays
    • Cao J., Liang J.L., Lam J. Exponential stability of high-order bidirectional associative memory neural networks with time delays. Physica D 2004, 199:425-436.
    • (2004) Physica D , vol.199 , pp. 425-436
    • Cao, J.1    Liang, J.L.2    Lam, J.3
  • 7
    • 45849135646 scopus 로고    scopus 로고
    • Impulsive effects on global asymptotic stability of delay BAM neural networks
    • Chen J., Cui B.T. Impulsive effects on global asymptotic stability of delay BAM neural networks. Chaos, Solitons and Fractals 2008, 38:1115-1125.
    • (2008) Chaos, Solitons and Fractals , vol.38 , pp. 1115-1125
    • Chen, J.1    Cui, B.T.2
  • 10
    • 63949087420 scopus 로고    scopus 로고
    • Mean square exponential stability in high-order stochastic impulsive neural networks with time-varying delays
    • Gu H.B., Jiang H.J., Teng Z.D. Mean square exponential stability in high-order stochastic impulsive neural networks with time-varying delays. Journal of Applied Mathematics and Computing 2009, 30:151-170.
    • (2009) Journal of Applied Mathematics and Computing , vol.30 , pp. 151-170
    • Gu, H.B.1    Jiang, H.J.2    Teng, Z.D.3
  • 11
    • 34249704035 scopus 로고    scopus 로고
    • Periodic solution for nonautonomous bidirectional associative memory neural networks with impulses
    • Gui Z.J., Yang X.S., Ge W.G. Periodic solution for nonautonomous bidirectional associative memory neural networks with impulses. Neurocomputing 2007, 70:2517-2527.
    • (2007) Neurocomputing , vol.70 , pp. 2517-2527
    • Gui, Z.J.1    Yang, X.S.2    Ge, W.G.3
  • 12
    • 0028542772 scopus 로고
    • Delay-independent stability in bidirectional associative memory networks
    • Gopalsmy K., He X.Z. Delay-independent stability in bidirectional associative memory networks. IEEE Transactions on Neural Networks 1994, 5:998-1002.
    • (1994) IEEE Transactions on Neural Networks , vol.5 , pp. 998-1002
    • Gopalsmy, K.1    He, X.Z.2
  • 14
    • 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.L., Lam J. Global exponential stability of impulsive high-order BAM neural networks with time-varying delays. Neural Networks 2006, 19:1581-1590.
    • (2006) Neural Networks , vol.19 , pp. 1581-1590
    • Ho, D.W.C.1    Liang, J.L.2    Lam, J.3
  • 15
    • 34247115984 scopus 로고    scopus 로고
    • Global asymptotic stability analysis of bidirectional associative memory neural networks with distributed delays and impulse
    • Huang Z.T., Luo X.S., Yang Q.G. Global asymptotic stability analysis of bidirectional associative memory neural networks with distributed delays and impulse. Chaos, Solitons and Fractals 2007, 34:878-885.
    • (2007) Chaos, Solitons and Fractals , vol.34 , pp. 878-885
    • Huang, Z.T.1    Luo, X.S.2    Yang, Q.G.3
  • 16
    • 70350717490 scopus 로고    scopus 로고
    • Exponential stability of impulsive high-order cellular neural networks with time-varying delays
    • Huang Z.T., Yang Q.G. Exponential stability of impulsive high-order cellular neural networks with time-varying delays. Nonlinear Analysis: Real World Applications 2010, 11:592-600.
    • (2010) Nonlinear Analysis: Real World Applications , vol.11 , pp. 592-600
    • Huang, Z.T.1    Yang, Q.G.2
  • 17
    • 0023491172 scopus 로고
    • Adaptive bi-directional associative memories
    • Kosko B. Adaptive bi-directional associative memories. Applied Optics 1987, 26:4947-4960.
    • (1987) Applied Optics , vol.26 , pp. 4947-4960
    • Kosko, B.1
  • 21
    • 0141834101 scopus 로고    scopus 로고
    • Global exponential stability of hybrid bidirectional associative memory neural networks with discrete delays
    • Liao X.F., Wong K.W. Global exponential stability of hybrid bidirectional associative memory neural networks with discrete delays. Physical Review E 2003, 67:042901.
    • (2003) Physical Review E , vol.67 , pp. 042901
    • Liao, X.F.1    Wong, K.W.2
  • 22
    • 21344469870 scopus 로고    scopus 로고
    • Exponential stability and instability of stochastic neural networks
    • Liao X.X., Mao X. Exponential stability and instability of stochastic neural networks. Stochastic Analysis and Applications 1996, 14:165-185.
    • (1996) Stochastic Analysis and Applications , vol.14 , pp. 165-185
    • Liao, X.X.1    Mao, X.2
  • 23
    • 51049102561 scopus 로고    scopus 로고
    • Delay-dependent stability analysis for impulsive BAM neural networks with time-varying delays
    • Li K.L. Delay-dependent stability analysis for impulsive BAM neural networks with time-varying delays. Computers and Mathematics with Applications 2008, 56:2088-2099.
    • (2008) Computers and Mathematics with Applications , vol.56 , pp. 2088-2099
    • Li, K.L.1
  • 24
    • 33749533792 scopus 로고    scopus 로고
    • Global exponential stability analysis on impulsive BAM neural networks with distributed delays
    • Li Y.T., Yang C.B. Global exponential stability analysis on impulsive BAM neural networks with distributed delays. Journal of Mathematical Analysis and Applications 2006, 324:1125-1139.
    • (2006) Journal of Mathematical Analysis and Applications , vol.324 , pp. 1125-1139
    • Li, Y.T.1    Yang, C.B.2
  • 25
    • 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.R., Wang Z.D., Liu X.H. An LMI approach to stability analysis of stochastic high-order markovian jumping neural networks with mixed time delays. Nonlinear Analysis: Hybrid Systems 2008, 2:110-120.
    • (2008) Nonlinear Analysis: Hybrid Systems , vol.2 , pp. 110-120
    • Liu, Y.R.1    Wang, Z.D.2    Liu, X.H.3
  • 26
    • 34848878407 scopus 로고    scopus 로고
    • Global asymptotic stability of delay BAM neural networks with impulses based on matrix theory
    • Lou X.Y., Cui B.T. Global asymptotic stability of delay BAM neural networks with impulses based on matrix theory. Applied Mathematical Modelling 2008, 32:232-239.
    • (2008) Applied Mathematical Modelling , vol.32 , pp. 232-239
    • Lou, X.Y.1    Cui, B.T.2
  • 27
    • 33846896705 scopus 로고    scopus 로고
    • Novel global stability criteria for high-order hopfield-type neural networks with time-varying delays
    • Lou X.Y., Cui B.T. Novel global stability criteria for high-order hopfield-type neural networks with time-varying delays. Journal of Mathematical Analysis and Applications 2007, 330:144-158.
    • (2007) Journal of Mathematical Analysis and Applications , vol.330 , pp. 144-158
    • Lou, X.Y.1    Cui, B.T.2
  • 28
    • 46149122569 scopus 로고    scopus 로고
    • Exponential stability preservation in semi-discretisations of BAM networks with nonlinear impulses
    • Mohamad S., Gopalsamy K. Exponential stability preservation in semi-discretisations of BAM networks with nonlinear impulses. Communications in Nonlinear Science and Numerical Simulation 2009, 14:27-50.
    • (2009) Communications in Nonlinear Science and Numerical Simulation , vol.14 , pp. 27-50
    • Mohamad, S.1    Gopalsamy, K.2
  • 29
    • 33745126296 scopus 로고    scopus 로고
    • LMI-based criteria for stability of high-order neural networks with time-varying delay
    • Ren F.L., Cao J.D. LMI-based criteria for stability of high-order neural networks with time-varying delay. Nonlinear Analysis: Real World Applications 2006, 7:967-979.
    • (2006) Nonlinear Analysis: Real World Applications , vol.7 , pp. 967-979
    • Ren, F.L.1    Cao, J.D.2
  • 30
    • 70449713292 scopus 로고    scopus 로고
    • Global asymptotic stability of uncertain stochastic bi-directional associative memory networks with discrete and distributed delays, Mathematics and Computers in Simulation
    • H.S. Shu, Z.D. Wang, Z.W. Lü, Global asymptotic stability of uncertain stochastic bi-directional associative memory networks with discrete and distributed delays, Mathematics and Computers in Simulation (2009) 490-505.
    • (2009) , pp. 490-505
    • Shu, H.S.1    Wang, Z.D.2    Lü, Z.W.3
  • 31
    • 40849111420 scopus 로고    scopus 로고
    • Stability analysis of impulsive stochastic Cohen-Grossberg neural networks with mixed time delays
    • Song Q.K., Wang Z.D. Stability analysis of impulsive stochastic Cohen-Grossberg neural networks with mixed time delays. Physica A 2008, 387:3314-3326.
    • (2008) Physica A , vol.387 , pp. 3314-3326
    • Song, Q.K.1    Wang, Z.D.2
  • 32
    • 35348986026 scopus 로고    scopus 로고
    • Convergence analysis of stochastic hybrid bidirectional associative memory neural networks with delays
    • Wan L., Zhou Q.H. Convergence analysis of stochastic hybrid bidirectional associative memory neural networks with delays. Physics Letters A 2007, 370:423-432.
    • (2007) Physics Letters A , vol.370 , pp. 423-432
    • Wan, L.1    Zhou, Q.H.2
  • 33
    • 40649118982 scopus 로고    scopus 로고
    • Global asymptotic stability of delay BAM neural networks with impulses via nonsmooth analysis
    • Wen Z., Sun J.T. Global asymptotic stability of delay BAM neural networks with impulses via nonsmooth analysis. Neurocomputing 2008, 71:1543-1549.
    • (2008) Neurocomputing , vol.71 , pp. 1543-1549
    • Wen, Z.1    Sun, J.T.2
  • 34
    • 40749087284 scopus 로고    scopus 로고
    • Existence and global exponential stability of equilibrium for BAM neural networks with impulses
    • Xia Y.H., Huang Z.K., Han M.A. Existence and global exponential stability of equilibrium for BAM neural networks with impulses. Chaos, Solitons and Fractals 2008, 37:588-597.
    • (2008) Chaos, Solitons and Fractals , vol.37 , pp. 588-597
    • Xia, Y.H.1    Huang, Z.K.2    Han, M.A.3
  • 35
    • 43049100421 scopus 로고    scopus 로고
    • Exponential p-stability of delayed Cohen-Grossberg-type BAM neural networks with impulses
    • Xia Y.H., Huang Z.K., Han M.A. Exponential p-stability of delayed Cohen-Grossberg-type BAM neural networks with impulses. Chaos, Solitons and Fractals 2008, 38:806-818.
    • (2008) Chaos, Solitons and Fractals , vol.38 , pp. 806-818
    • Xia, Y.H.1    Huang, Z.K.2    Han, M.A.3
  • 36
    • 33344456502 scopus 로고    scopus 로고
    • Global exponential stability of high order hopfield type neural networks
    • Xu B.J., Liu X.Z., Liao X.X. Global exponential stability of high order hopfield type neural networks. Applied Mathematics and Computation 2006, 174:98-116.
    • (2006) Applied Mathematics and Computation , vol.174 , pp. 98-116
    • Xu, B.J.1    Liu, X.Z.2    Liao, X.X.3
  • 37
    • 67349212179 scopus 로고    scopus 로고
    • Exponential p-stability of impulsive stochastic neural networks with mixed delays
    • Xu L.G., Xu D.Y. Exponential p-stability of impulsive stochastic neural networks with mixed delays. Chaos, Solitons and Fractals 2009, 41:263-272.
    • (2009) Chaos, Solitons and Fractals , vol.41 , pp. 263-272
    • Xu, L.G.1    Xu, D.Y.2
  • 38
    • 33947205116 scopus 로고    scopus 로고
    • Global stability analysis of impulsive BAM type Cohen-Grossberg neural networks with delays
    • Yang F.J., Zhang C.L., Wu D.Q. Global stability analysis of impulsive BAM type Cohen-Grossberg neural networks with delays. Applied Mathematics and Computation 2007, 186:932-940.
    • (2007) Applied Mathematics and Computation , vol.186 , pp. 932-940
    • Yang, F.J.1    Zhang, C.L.2    Wu, D.Q.3
  • 39
    • 45449118684 scopus 로고    scopus 로고
    • New convergence behavior of high-order Hopfield neural networks with time-varying coefficients
    • Yi X.J., Shao J.Y., Yu Y.H., Xiao B. New convergence behavior of high-order Hopfield neural networks with time-varying coefficients. Journal of Computational and Applied Mathematics 2008, 219:216-222.
    • (2008) Journal of Computational and Applied Mathematics , vol.219 , pp. 216-222
    • Yi, X.J.1    Shao, J.Y.2    Yu, Y.H.3    Xiao, B.4
  • 40
    • 41549133917 scopus 로고    scopus 로고
    • Existence and exponential stability of almost-periodic solutions for high-order Hopfield neural networks
    • Yu Y.H., Cai M.S. Existence and exponential stability of almost-periodic solutions for high-order Hopfield neural networks. Mathematical and Computer Modelling 2008, 47:943-951.
    • (2008) Mathematical and Computer Modelling , vol.47 , pp. 943-951
    • Yu, Y.H.1    Cai, M.S.2
  • 41
    • 33750445571 scopus 로고    scopus 로고
    • Synchronization control of stochastic delayed neural networks
    • Yu W.W., Cao J.D. Synchronization control of stochastic delayed neural networks. Physica A 2007, 373:252-260.
    • (2007) Physica A , vol.373 , pp. 252-260
    • Yu, W.W.1    Cao, J.D.2
  • 42
    • 33846344721 scopus 로고    scopus 로고
    • Dynamic analysis of stochastic bidirectional associative memory neural networks with delays
    • Zhao H., Ding N. Dynamic analysis of stochastic bidirectional associative memory neural networks with delays. Chaos, Solitons and Fractals 2007, 32:1692-1702.
    • (2007) Chaos, Solitons and Fractals , vol.32 , pp. 1692-1702
    • Zhao, H.1    Ding, N.2


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