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Volumn 24, Issue 5, 2011, Pages 457-465

Global exponential stability of interval general BAM neural networks with reaction-diffusion terms and multiple time-varying delays

Author keywords

Degree theory; Global exponential stability; Interval general BAM neural networks; Lyapunov functional; Multiple time varying delays; Reaction diffusion terms; The existence and uniqueness of one equilibrium point

Indexed keywords

DEGREE THEORY; GLOBAL EXPONENTIAL STABILITY; INTERVAL GENERAL BAM NEURAL NETWORKS; LYAPUNOV FUNCTIONAL; MULTIPLE TIME-VARYING DELAYS; REACTION DIFFUSION TERMS; THE EXISTENCE AND UNIQUENESS OF ONE EQUILIBRIUM POINT;

EID: 79953678078     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neunet.2011.02.003     Document Type: Article
Times cited : (57)

References (35)
  • 1
    • 0037216938 scopus 로고    scopus 로고
    • Global robust stability of delayed neural networks
    • Arik S. Global robust stability of delayed neural networks. IEEE Transactions Circuits Systems I 2003, 50:156-160.
    • (2003) IEEE Transactions Circuits Systems I , vol.50 , pp. 156-160
    • Arik, S.1
  • 2
    • 0036506075 scopus 로고    scopus 로고
    • Exponential stability and periodic oscillatory solution in BAM networks with delays
    • Cao J.D., 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.D.1    Wang, L.2
  • 3
    • 4644236344 scopus 로고    scopus 로고
    • Global robust stability of interval neural networks with time-varying delays
    • Chen A.P., Cao J.D., Huang L.H. Global robust stability of interval neural networks with time-varying delays. Chaos Solitons and Fractals 2005, 23:787-799.
    • (2005) Chaos Solitons and Fractals , vol.23 , pp. 787-799
    • Chen, A.P.1    Cao, J.D.2    Huang, L.H.3
  • 4
    • 34249091334 scopus 로고    scopus 로고
    • Exponential stability of delayed bidirectional associative memory neural networks with reaction diffusion terms
    • Chen A., Huang L., Cao J. Exponential stability of delayed bidirectional associative memory neural networks with reaction diffusion terms. International Journal of Systems Science 2007, 38(5):421-432.
    • (2007) International Journal of Systems Science , vol.38 , Issue.5 , pp. 421-432
    • Chen, A.1    Huang, L.2    Cao, J.3
  • 6
    • 33645518253 scopus 로고    scopus 로고
    • Global robust exponential stability of interval general BAM neural network with delays
    • Ding K., Huang N.J. Global robust exponential stability of interval general BAM neural network with delays. Neural Processing Letter 2006, 23:171-182.
    • (2006) Neural Processing Letter , vol.23 , pp. 171-182
    • Ding, K.1    Huang, N.J.2
  • 7
    • 0742286347 scopus 로고    scopus 로고
    • Stability analysis of bi-directional associative memory networks with time delays
    • Feng C.H., Plamondon R. Stability analysis of bi-directional associative memory networks with time delays. IEEE Transactions on Neural Networks 2003, 14:1560-1565.
    • (2003) IEEE Transactions on Neural Networks , vol.14 , pp. 1560-1565
    • Feng, C.H.1    Plamondon, R.2
  • 8
    • 0001075269 scopus 로고
    • Stability in asymmetric Hopfield nets with transmission delays
    • Gropalsamy K., He X. Stability in asymmetric Hopfield nets with transmission delays. Physica D 1994, 76:344-358.
    • (1994) Physica D , vol.76 , pp. 344-358
    • Gropalsamy, K.1    He, X.2
  • 10
    • 9644255680 scopus 로고    scopus 로고
    • Global exponential stability of BAM neural networks with delays and impulses
    • Li Y.K. Global exponential stability of BAM neural networks with delays and impulses. Chaos Solitons and Fractals 2005, 24:279-285.
    • (2005) Chaos Solitons and Fractals , vol.24 , pp. 279-285
    • Li, Y.K.1
  • 11
    • 0041661956 scopus 로고    scopus 로고
    • Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays
    • Liang J., Cao J. Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays. Physics Letter A 2003, 314:434-442.
    • (2003) Physics Letter A , vol.314 , pp. 434-442
    • Liang, J.1    Cao, J.2
  • 12
    • 0041661956 scopus 로고    scopus 로고
    • Global exponential stability of reaction diffusion recurrent neural networks with time-varying delays
    • Liang J., Cao J. Global exponential stability of reaction diffusion recurrent neural networks with time-varying delays. Physics Letter A 2003, 314:434-442.
    • (2003) Physics Letter A , vol.314 , pp. 434-442
    • Liang, J.1    Cao, J.2
  • 13
    • 0001315987 scopus 로고
    • Global exponential stability and applications for Hopfield neural networks
    • Liang X.B., Wu L.D. Global exponential stability and applications for Hopfield neural networks. Science in China (Series A) 1995, 25:523-532.
    • (1995) Science in China (Series A) , vol.25 , pp. 523-532
    • Liang, X.B.1    Wu, L.D.2
  • 14
    • 0033701686 scopus 로고    scopus 로고
    • Stability of Hopfield neural networks with reaction diffusion terms
    • Liao X.X., Cao Y.L. Stability of Hopfield neural networks with reaction diffusion terms. Acta Electronica Sinica 2000, 28:78-82.
    • (2000) Acta Electronica Sinica , vol.28 , pp. 78-82
    • Liao, X.X.1    Cao, Y.L.2
  • 15
    • 0035508792 scopus 로고    scopus 로고
    • Novel robust stability criteria for interval delayed Hopfield neural networks
    • Liao X.X., Wang K.W., Wu Z., Chen G. Novel robust stability criteria for interval delayed Hopfield neural networks. IEEE Transactions on Circuits System I 2001, 48:1355-1359.
    • (2001) IEEE Transactions on Circuits System I , vol.48 , pp. 1355-1359
    • Liao, X.X.1    Wang, K.W.2    Wu, Z.3    Chen, G.4
  • 16
    • 0032165293 scopus 로고    scopus 로고
    • Robust stability for interval Hopfield neural networks with time delay
    • Liao X., Yu J. Robust stability for interval Hopfield neural networks with time delay. IEEE Transactions on Neural Networks 1998, 9:1042-1045.
    • (1998) IEEE Transactions on Neural Networks , vol.9 , pp. 1042-1045
    • Liao, X.1    Yu, J.2
  • 17
    • 55549110435 scopus 로고    scopus 로고
    • Stability analysis of impulsive Cohen-Grossberg neural networks with distributed delays and reaction-diffusion terms
    • Li Z., Li K. Stability analysis of impulsive Cohen-Grossberg neural networks with distributed delays and reaction-diffusion terms. Applied Mathematical Modelling 2009, 33:1337-1348.
    • (2009) Applied Mathematical Modelling , vol.33 , pp. 1337-1348
    • Li, Z.1    Li, K.2
  • 18
    • 33645508829 scopus 로고    scopus 로고
    • On robust stability of BAM neural networks with constant delays
    • Li C.D., Liao X.F., Chen Y. On robust stability of BAM neural networks with constant delays. Lecture Notes in Computer Science 2004, 3173:102-107.
    • (2004) Lecture Notes in Computer Science , vol.3173 , pp. 102-107
    • Li, C.D.1    Liao, X.F.2    Chen, Y.3
  • 19
    • 14944380614 scopus 로고    scopus 로고
    • Global robust exponential stability analysis for interval neural networks with time-varying delays
    • Li C.D., Liao X.X., Zhang R., Prasad A. Global robust exponential stability analysis for interval neural networks with time-varying delays. Chaos Solitons and Fractals 2005, 25:751-757.
    • (2005) Chaos Solitons and Fractals , vol.25 , pp. 751-757
    • Li, C.D.1    Liao, X.X.2    Zhang, R.3    Prasad, A.4
  • 20
    • 55949127155 scopus 로고    scopus 로고
    • Exponential stability of impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms
    • Li K., Song Q. Exponential stability of impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms. Neurocomputing 2008, 72:231-240.
    • (2008) Neurocomputing , vol.72 , pp. 231-240
    • Li, K.1    Song, Q.2
  • 21
    • 0024936892 scopus 로고
    • Performance analysis and application of the bi-directional associative memory to industrial spectral signatures
    • Mathal, C., & Upadhyaya, B. C. (1989). Performance analysis and application of the bi-directional associative memory to industrial spectral signatures. In Proceeding of IJCNN (pp. 33-37).
    • (1989) Proceeding of IJCNN , pp. 33-37
    • Mathal, C.1    Upadhyaya, B.C.2
  • 22
    • 77649238965 scopus 로고    scopus 로고
    • Dynamical behavior of impulsive reaction-diffusion Cohen-Grossberg neural networks with delays
    • Pan J., Zhong S.M. Dynamical behavior of impulsive reaction-diffusion Cohen-Grossberg neural networks with delays. Neurocomputing 2010, 7-9:1344-1351.
    • (2010) Neurocomputing , pp. 1344-1351
    • Pan, J.1    Zhong, S.M.2
  • 23
    • 24944586070 scopus 로고    scopus 로고
    • An analysis for periodic solutions of high-order BAM neural networks with delays
    • Qiu J.L., Cao J.D. An analysis for periodic solutions of high-order BAM neural networks with delays. Lecture Notes in Computer Science 2005, 3496:288.
    • (2005) Lecture Notes in Computer Science , vol.3496 , pp. 288
    • Qiu, J.L.1    Cao, J.D.2
  • 24
    • 4243149477 scopus 로고    scopus 로고
    • Global exponential stability and existence of periodic solutions in BAM neural network with delays and reaction-diffusion terms
    • Song Q.K., Cao J.D. Global exponential stability and existence of periodic solutions in BAM neural network with delays and reaction-diffusion terms. Chaos, Solitons and Fractals 2005, 23:421-430.
    • (2005) Chaos, Solitons and Fractals , vol.23 , pp. 421-430
    • Song, Q.K.1    Cao, J.D.2
  • 25
    • 24944581606 scopus 로고    scopus 로고
    • Periodic and its exponential stability of reaction-diffusion recurrent neural networks with continuously distributed delays
    • Song Q., Cao J., Zhao Z. Periodic and its exponential stability of reaction-diffusion recurrent neural networks with continuously distributed delays. Nonlinear Analysis, Series B 2006, 7:65-80.
    • (2006) Nonlinear Analysis, Series B , vol.7 , pp. 65-80
    • Song, Q.1    Cao, J.2    Zhao, Z.3
  • 26
    • 12544251852 scopus 로고    scopus 로고
    • Global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms
    • Song Q.K., Zhao Z.J., Li Y.M. Global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms. Physics Letter A 2005, 335:213-225.
    • (2005) Physics Letter A , vol.335 , pp. 213-225
    • Song, Q.K.1    Zhao, Z.J.2    Li, Y.M.3
  • 27
    • 12544251852 scopus 로고    scopus 로고
    • Global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms
    • Song Q.K., Zhao Z.J., Li Y.M. Global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms. Physics Letters A 2005, 335:213-225.
    • (2005) Physics Letters A , vol.335 , pp. 213-225
    • Song, Q.K.1    Zhao, Z.J.2    Li, Y.M.3
  • 28
    • 0037314654 scopus 로고    scopus 로고
    • Global robust exponential stability of interval neural networks with delays
    • Sun C.Y., Feng B.C. Global robust exponential stability of interval neural networks with delays. Neural Processing Letters 2003, 17:107-115.
    • (2003) Neural Processing Letters , vol.17 , pp. 107-115
    • Sun, C.Y.1    Feng, B.C.2
  • 29
    • 4344575000 scopus 로고    scopus 로고
    • On robust exponential periodicity of interval neural networks with delays
    • Sun C.Y., Feng C.B. On robust exponential periodicity of interval neural networks with delays. Neural Processing Letters 2004, 20:53-56.
    • (2004) Neural Processing Letters , vol.20 , pp. 53-56
    • Sun, C.Y.1    Feng, C.B.2
  • 30
    • 31144468063 scopus 로고    scopus 로고
    • Global exponential robust stability of reaction-diffusion interval neural networks with time-varying delays
    • Wang L.S., Cao Y.Y. Global exponential robust stability of reaction-diffusion interval neural networks with time-varying delays. Physics Letter A 2006, 350:342-348.
    • (2006) Physics Letter A , vol.350 , pp. 342-348
    • Wang, L.S.1    Cao, Y.Y.2
  • 31
    • 14844332624 scopus 로고    scopus 로고
    • Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays
    • Wang L.S., Xu D.Y. Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays. Science in China (Series F) 2003, 46:466-474.
    • (2003) Science in China (Series F) , vol.46 , pp. 466-474
    • Wang, L.S.1    Xu, D.Y.2
  • 32
    • 73949121103 scopus 로고    scopus 로고
    • Global asymptotic stability of reaction-diffusion Cohen-Grossberg neural networks with continuously distributed delays
    • Wang Z.S., Zhang H.G. Global asymptotic stability of reaction-diffusion Cohen-Grossberg neural networks with continuously distributed delays. IEEE Trans. on neural networks 2010, 21(1):39-48.
    • (2010) IEEE Trans. on neural networks , vol.21 , Issue.1 , pp. 39-48
    • Wang, Z.S.1    Zhang, H.G.2
  • 33
    • 56549115665 scopus 로고    scopus 로고
    • Global exponential stability of reaction-diffusion cellular neural networks with S-type distributed time delays
    • Wang L.S., Zhang R.J., Wang Y.F. Global exponential stability of reaction-diffusion cellular neural networks with S-type distributed time delays. Nonlinear Analysis: Real World Applications 2009, 10:1101-1113.
    • (2009) Nonlinear Analysis: Real World Applications , vol.10 , pp. 1101-1113
    • Wang, L.S.1    Zhang, R.J.2    Wang, Y.F.3
  • 34
    • 33645531255 scopus 로고    scopus 로고
    • Absolutely exponential stability of BAM neural networks with distributed delays
    • Xiong W.J., Jiang Q.H. Absolutely exponential stability of BAM neural networks with distributed delays. Lecture Notes in Computer Science 2004, 3173:108-113.
    • (2004) Lecture Notes in Computer Science , vol.3173 , pp. 108-113
    • Xiong, W.J.1    Jiang, Q.H.2
  • 35
    • 22844446369 scopus 로고    scopus 로고
    • Existence of periodic oscillatory solution of reaction-diffusion neural networks with delays
    • Zhao H.Y., Wang G.L. Existence of periodic oscillatory solution of reaction-diffusion neural networks with delays. Physics Letter A 2005, 343:378-382.
    • (2005) Physics Letter A , vol.343 , pp. 378-382
    • Zhao, H.Y.1    Wang, G.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.