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Volumn 73, Issue 16-18, 2010, Pages 3147-3159

Existence and exponential stability of periodic solution for a class of Cohen-Grossberg-type BAM neural networks

Author keywords

Cohen Grossberg type BAM neural networks; Exponential stability; Periodic solution

Indexed keywords

ANALYSIS TECHNIQUES; BAM NEURAL NETWORK; BI-DIRECTIONAL ASSOCIATIVE MEMORIES; EXPONENTIAL STABILITY; GENERAL CLASS; INEQUALITY TECHNIQUES; M-MATRIX; PERIODIC SOLUTION; SUFFICIENT CONDITIONS;

EID: 78650305378     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2010.06.011     Document Type: Article
Times cited : (14)

References (42)
  • 1
    • 9644299947 scopus 로고    scopus 로고
    • An analysis of periodic solutions of bi-directional associative memory networks with time-varying delays
    • Cao J., Jiang Q. An analysis of periodic solutions of bi-directional associative memory networks with time-varying delays. Physics Letters A 2004, 330:203-213.
    • (2004) Physics Letters A , vol.330 , pp. 203-213
    • Cao, J.1    Jiang, Q.2
  • 2
    • 67349136305 scopus 로고    scopus 로고
    • Boundedness, periodic solutions and global stability for cellular neural networks with variable coefficients and infinite delays
    • Jiang H., Teng Z. Boundedness, periodic solutions and global stability for cellular neural networks with variable coefficients and infinite delays. Neurocomputing 2009, 72:2455-2463.
    • (2009) Neurocomputing , vol.72 , pp. 2455-2463
    • Jiang, H.1    Teng, Z.2
  • 3
    • 67249123736 scopus 로고    scopus 로고
    • Existence and attractivity of periodic solutions to non-autonomous Cohen-Grossberg neural networks with time delays
    • Li C., Yang S. Existence and attractivity of periodic solutions to non-autonomous Cohen-Grossberg neural networks with time delays. Chaos, Solitons and Fractals 2009, 41:1235-1244.
    • (2009) Chaos, Solitons and Fractals , vol.41 , pp. 1235-1244
    • Li, C.1    Yang, S.2
  • 4
    • 58149343964 scopus 로고    scopus 로고
    • Existence and stability of periodic solutions of high-order Hopfield neural networks with impulses and delays
    • Zhang J., Gui Z. Existence and stability of periodic solutions of high-order Hopfield neural networks with impulses and delays. Journal of Computational and Applied Mathematics 2009, 224:602-613.
    • (2009) Journal of Computational and Applied Mathematics , vol.224 , pp. 602-613
    • Zhang, J.1    Gui, Z.2
  • 5
    • 60549091777 scopus 로고    scopus 로고
    • Periodic solutions of nonautonomous cellular neural networks with impulses and delays
    • Zhang J., Gui Z. Periodic solutions of nonautonomous cellular neural networks with impulses and delays. Nonlinear Analysis: Real World Applications 2009, 10:1891-1903.
    • (2009) Nonlinear Analysis: Real World Applications , vol.10 , pp. 1891-1903
    • Zhang, J.1    Gui, Z.2
  • 6
    • 15944375785 scopus 로고    scopus 로고
    • Analysis of global exponential stability and periodic solutions of neural networks with time-varying delays
    • Huang H., Ho D.W.C., Cao J. Analysis of global exponential stability and periodic solutions of neural networks with time-varying delays. Neural Networks 2005, 18:161-170.
    • (2005) Neural Networks , vol.18 , pp. 161-170
    • Huang, H.1    Ho, D.W.C.2    Cao, J.3
  • 7
    • 34047260556 scopus 로고    scopus 로고
    • An analysis on existence and global exponential stability of periodic solutions for BAM neural networks with time-varying delays
    • Song Q., Wang Z. An analysis on existence and global exponential stability of periodic solutions for BAM neural networks with time-varying delays. Nonlinear Analysis: RealWorld Applications 2007, 8:1224-1234.
    • (2007) Nonlinear Analysis: RealWorld Applications , vol.8 , pp. 1224-1234
    • Song, Q.1    Wang, Z.2
  • 8
    • 33749578424 scopus 로고    scopus 로고
    • Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with time-varying delays
    • Liu B., Huang L. Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with time-varying delays. Chaos, Solitons and Fractals 2007, 32:617-627.
    • (2007) Chaos, Solitons and Fractals , vol.32 , pp. 617-627
    • Liu, B.1    Huang, L.2
  • 9
    • 29644436526 scopus 로고    scopus 로고
    • Existence and exponential stability of periodic solutions for cellular neural networks with time-varying delays
    • Liu B., Huang L. Existence and exponential stability of periodic solutions for cellular neural networks with time-varying delays. Physics Letters A 2006, 349:474-483.
    • (2006) Physics Letters A , vol.349 , pp. 474-483
    • Liu, B.1    Huang, L.2
  • 10
    • 34547208733 scopus 로고    scopus 로고
    • Periodic solutions for a class of higher-order Cohen-Grossberg type neural networks with delays
    • Ren F., Cao J. Periodic solutions for a class of higher-order Cohen-Grossberg type neural networks with delays. Computers and Mathematics with Applications 2007, 54:826-839.
    • (2007) Computers and Mathematics with Applications , vol.54 , pp. 826-839
    • Ren, F.1    Cao, J.2
  • 11
    • 22244473030 scopus 로고    scopus 로고
    • Delay induced periodicity in a neural netlet of excitation and inhibition
    • Gopalsamy K., Leung I. Delay induced periodicity in a neural netlet of excitation and inhibition. Physica D 1996, 89:395-426.
    • (1996) Physica D , vol.89 , pp. 395-426
    • Gopalsamy, K.1    Leung, I.2
  • 12
    • 77950917737 scopus 로고    scopus 로고
    • Stability and bifurcation of a two-neuron network with distributed time delays, Nonlinear Analysis: Real World Applications
    • C.-H. Hsu, S.-Y. Yang, T.-H. Yang, T.-S. Yang, Stability and bifurcation of a two-neuron network with distributed time delays, Nonlinear Analysis: Real World Applications 11 (2010) 1472-1490.
    • (2010) , vol.11 , pp. 1472-1490
    • Hsu, C.-H.1    Yang, S.-Y.2    Yang, T.-H.3    Yang, T.-S.4
  • 13
    • 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. Applied Mathematics and Computation 2009, 212:113-119.
    • (2009) Applied Mathematics and Computation , vol.212 , pp. 113-119
    • Samidurai, R.1    Sakthivel, R.2    Anthoni, S.M.3
  • 14
    • 64949183270 scopus 로고    scopus 로고
    • New results of almost periodic solutions for networks with mixed delays
    • Zhao W., Zhang H. New results of almost periodic solutions for networks with mixed delays. Chaos, Solitons and Fractals 2009, 40:831-838.
    • (2009) Chaos, Solitons and Fractals , vol.40 , pp. 831-838
    • Zhao, W.1    Zhang, H.2
  • 15
    • 33748527217 scopus 로고    scopus 로고
    • Existence and exponential stability of almost periodic solutions for cellular neural networks with mixed delays
    • Liu B., Huang L. Existence and exponential stability of almost periodic solutions for cellular neural networks with mixed delays. Chaos, Solitons and Fractals 2007, 32:95-103.
    • (2007) Chaos, Solitons and Fractals , vol.32 , pp. 95-103
    • Liu, B.1    Huang, L.2
  • 16
    • 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., Liu X. 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.1    Wang, Z.2    Liu, X.3
  • 17
    • 40849111420 scopus 로고    scopus 로고
    • Stability analysis of impulsive stochastic Cohen-Grossberg neural networks with mixed time delays
    • Song Q., Wang Z. 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.1    Wang, Z.2
  • 18
    • 69249235736 scopus 로고    scopus 로고
    • Synchronization analysis of coupled connected neural networks with mixed time delays
    • Song Q. Synchronization analysis of coupled connected neural networks with mixed time delays. Neurocomputing 2009, 72:3907-3914.
    • (2009) Neurocomputing , vol.72 , pp. 3907-3914
    • Song, Q.1
  • 19
    • 69249215491 scopus 로고    scopus 로고
    • Delay-distribution-dependent stability of stochastic discrete-timeneural networks with randomly mixedtime-varying delays
    • Tang Y., Fang J., Xia M., Yu D. Delay-distribution-dependent stability of stochastic discrete-timeneural networks with randomly mixedtime-varying delays. Neurocomputing 2009, 72:3830-3838.
    • (2009) Neurocomputing , vol.72 , pp. 3830-3838
    • Tang, Y.1    Fang, J.2    Xia, M.3    Yu, D.4
  • 20
    • 34248567054 scopus 로고    scopus 로고
    • Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with bounded and unbounded delays
    • Zhang F., Liu B., Huang L. Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with bounded and unbounded delays. Computers and Mathematics with Applications 2007, 53:1325-1338.
    • (2007) Computers and Mathematics with Applications , vol.53 , pp. 1325-1338
    • Zhang, F.1    Liu, B.2    Huang, L.3
  • 21
    • 59849123035 scopus 로고    scopus 로고
    • Anti-periodic solutions for Cohen-Grossberg neural networks with bounded and unbounded delays
    • Li Y., Yang L. Anti-periodic solutions for Cohen-Grossberg neural networks with bounded and unbounded delays. Communications in Nonlinear Science and Numerical Simulation 2009, 14:3134-3140.
    • (2009) Communications in Nonlinear Science and Numerical Simulation , vol.14 , pp. 3134-3140
    • Li, Y.1    Yang, L.2
  • 22
    • 24144433780 scopus 로고    scopus 로고
    • Absolutely exponential stability of Cohen-Grossberg neural networks with unbounded delays
    • Xiong W., Cao J. Absolutely exponential stability of Cohen-Grossberg neural networks with unbounded delays. Neurocomputing 2005, 68:1-12.
    • (2005) Neurocomputing , vol.68 , pp. 1-12
    • Xiong, W.1    Cao, J.2
  • 23
    • 61749086398 scopus 로고    scopus 로고
    • Almost periodic solution of Cohen-Grossberg neural networks with bounded and unbounded delays
    • Xiang H., Cao J. Almost periodic solution of Cohen-Grossberg neural networks with bounded and unbounded delays. Nonlinear Analysis: Real World Applications 2009, 10:2407-2419.
    • (2009) Nonlinear Analysis: Real World Applications , vol.10 , pp. 2407-2419
    • Xiang, H.1    Cao, J.2
  • 24
    • 56549098455 scopus 로고    scopus 로고
    • Multistability of competitive neural networks with time-varying and distributed delays
    • Nie X., Cao J. Multistability of competitive neural networks with time-varying and distributed delays. Nonlinear Analysis: Real World Applications 2009, 10:928-942.
    • (2009) Nonlinear Analysis: Real World Applications , vol.10 , pp. 928-942
    • Nie, X.1    Cao, J.2
  • 25
    • 0020970741 scopus 로고
    • Absolute stability and global pattern formation and partial memory storage by competitive neural networks
    • Cohen M.A., Grossberg S. Absolute stability and global pattern formation and partial memory storage by competitive neural networks. IEEE Transactions on Systems, Man, and Cybernetics 1983, 13:815-826.
    • (1983) IEEE Transactions on Systems, Man, and Cybernetics , vol.13 , pp. 815-826
    • Cohen, M.A.1    Grossberg, S.2
  • 27
    • 0742286347 scopus 로고    scopus 로고
    • Stability analysis of bidirectional associative memory networks with time delays
    • Feng C., Plamondon R. Stability analysis of bidirectional associative memory networks with time delays. IEEE Transactions on Neural Networks 2003, 14(6):1560-1565.
    • (2003) IEEE Transactions on Neural Networks , vol.14 , Issue.6 , pp. 1560-1565
    • Feng, C.1    Plamondon, R.2
  • 28
    • 57649090311 scopus 로고    scopus 로고
    • Existence and globally exponential stability of almost periodic solution for Cohen-Grossberg BAM neural networks with variable coefficients
    • Li Y., Fan X. Existence and globally exponential stability of almost periodic solution for Cohen-Grossberg BAM neural networks with variable coefficients. Applied Mathematical Modelling 2009, 33:2114-2120.
    • (2009) Applied Mathematical Modelling , vol.33 , pp. 2114-2120
    • Li, Y.1    Fan, X.2
  • 29
    • 70350743024 scopus 로고    scopus 로고
    • Exponential stability of Cohen-Grossberg-type BAM neural networks with time-varying delays via impulsive control
    • Li X. Exponential stability of Cohen-Grossberg-type BAM neural networks with time-varying delays via impulsive control. Neurocomputing 2009, 73:525-530.
    • (2009) Neurocomputing , vol.73 , pp. 525-530
    • Li, X.1
  • 30
    • 61849131250 scopus 로고    scopus 로고
    • Exponential stability of periodic solution to Cohen-Grossberg-type BAM networks with time-varying delays
    • Xiang H., Cao J. Exponential stability of periodic solution to Cohen-Grossberg-type BAM networks with time-varying delays. Neurocomputing 2009, 72:1702-1711.
    • (2009) Neurocomputing , vol.72 , pp. 1702-1711
    • Xiang, H.1    Cao, J.2
  • 31
    • 61749103826 scopus 로고    scopus 로고
    • Impulsive effects on stability of Cohen-Grossberg-type bidirectional associative memory neural networks with delays
    • Zhou Q., Wan L. Impulsive effects on stability of Cohen-Grossberg-type bidirectional associative memory neural networks with delays. Nonlinear Analysis: Real World Applications 2009, 10:2531-2540.
    • (2009) Nonlinear Analysis: Real World Applications , vol.10 , pp. 2531-2540
    • Zhou, Q.1    Wan, L.2
  • 32
    • 34548563737 scopus 로고    scopus 로고
    • Stability analysis of Cohen-Grossberg BAM neural networks with delays and impulses
    • Bai C. Stability analysis of Cohen-Grossberg BAM neural networks with delays and impulses. Chaos, Solitons and Fractals 2008, 35:263-267.
    • (2008) Chaos, Solitons and Fractals , vol.35 , pp. 263-267
    • Bai, C.1
  • 33
    • 35348944390 scopus 로고    scopus 로고
    • BAM-type Cohen-Grossberg neural networks with time delays
    • Jiang H., Cao J. BAM-type Cohen-Grossberg neural networks with time delays. Mathematical and Computer Modelling 2008, 47:92-103.
    • (2008) Mathematical and Computer Modelling , vol.47 , pp. 92-103
    • Jiang, H.1    Cao, J.2
  • 34
    • 33947173257 scopus 로고    scopus 로고
    • Periodic bi-directional Cohen-Grossberg neural networks with distributed delays
    • Chen A., Cao J. Periodic bi-directional Cohen-Grossberg neural networks with distributed delays. Nonlinear Analysis: Theory, Methods and Applications 2007, 66(12):2947-2961.
    • (2007) Nonlinear Analysis: Theory, Methods and Applications , vol.66 , Issue.12 , pp. 2947-2961
    • Chen, A.1    Cao, J.2
  • 35
    • 69249220238 scopus 로고    scopus 로고
    • Almost periodic solution to Cohen-Grossberg-type BAM networks with distributed delays
    • Xiang H., Wang J., Cao J. Almost periodic solution to Cohen-Grossberg-type BAM networks with distributed delays. Neurocomputing 2009, 72:3751-3759.
    • (2009) Neurocomputing , vol.72 , pp. 3751-3759
    • Xiang, H.1    Wang, J.2    Cao, J.3
  • 36
    • 43049100421 scopus 로고    scopus 로고
    • Exponential p-stability of delayed Cohen-Grossberg-type BAM neural networks with impulses
    • Xia Y., Huang Z., Han M. 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.1    Huang, Z.2    Han, M.3
  • 37
    • 67349253029 scopus 로고    scopus 로고
    • Robust stability of uncertain fuzzy Cohen-Grossberg BAM neural networks
    • Syed Ali M., Balasubramaniam P. Robust stability of uncertain fuzzy Cohen-Grossberg BAM neural networks. Expert Systems with Applications 2009, 36:10583-10588.
    • (2009) Expert Systems with Applications , vol.36 , pp. 10583-10588
    • Syed Ali, M.1    Balasubramaniam, P.2
  • 38
    • 61849143858 scopus 로고    scopus 로고
    • Stability and existence of periodic solutions to delayed Cohen-Grossberg BAM neural networks with impulses on time scales
    • Li Y., Chen X., Zhao L. Stability and existence of periodic solutions to delayed Cohen-Grossberg BAM neural networks with impulses on time scales. Neurocomputing 2009, 72:1621-1630.
    • (2009) Neurocomputing , vol.72 , pp. 1621-1630
    • Li, Y.1    Chen, X.2    Zhao, L.3
  • 39
    • 73449119540 scopus 로고    scopus 로고
    • Stability in impulsive Cohen-Grossberg-type BAM neural networks with distributed delays
    • Li K., Zhang L., Zhang X., Li Z. Stability in impulsive Cohen-Grossberg-type BAM neural networks with distributed delays. Applied Mathematics and Computation 2010, 215:3970-3984.
    • (2010) Applied Mathematics and Computation , vol.215 , pp. 3970-3984
    • Li, K.1    Zhang, L.2    Zhang, X.3    Li, Z.4
  • 40
    • 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., Guo C. Global exponential stability of a class of BAM networks with time-varying delays and continuously distributed delays. Neurocomputing 2008, 71:495-501.
    • (2008) Neurocomputing , vol.71 , pp. 495-501
    • Wang, B.1    Jian, J.2    Guo, C.3
  • 42
    • 85031130733 scopus 로고    scopus 로고
    • New results concerning exponential stability and periodic solution of delayed cellular neural networks
    • Cao J. New results concerning exponential stability and periodic solution of delayed cellular neural networks. Physics Letters A 2003, 314:434-442.
    • (2003) Physics Letters A , vol.314 , pp. 434-442
    • Cao, J.1


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