메뉴 건너뛰기




Volumn 72, Issue 4-6, 2009, Pages 1105-1110

Robust stability criteria for interval Cohen-Grossberg neural networks with time varying delay

Author keywords

Cohen Grossberg neural networks; Halanay inequality; Linear matrix inequality (LMI); Matrix norm; Robust stability; Time varying delay

Indexed keywords

COHEN-GROSSBERG NEURAL NETWORKS; HALANAY INEQUALITY; LINEAR MATRIX INEQUALITY (LMI); MATRIX NORM; ROBUST STABILITY; TIME VARYING DELAY;

EID: 58149464540     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2008.03.001     Document Type: Article
Times cited : (50)

References (35)
  • 1
    • 20444483673 scopus 로고    scopus 로고
    • Global robust stability analysis of neural networks with discrete time delays
    • Arik S. Global robust stability analysis of neural networks with discrete time delays. Chaos, Solitons and Fractals 26 (2005) 1407-1414
    • (2005) Chaos, Solitons and Fractals , vol.26 , pp. 1407-1414
    • Arik, S.1
  • 2
    • 20444368794 scopus 로고    scopus 로고
    • Global stability analysis of Cohen-Grossberg neural networks with time varying delays
    • Arik S., and Orman Z. Global stability analysis of Cohen-Grossberg neural networks with time varying delays. Phys. Lett. A 341 (2005) 410-421
    • (2005) Phys. Lett. A , vol.341 , pp. 410-421
    • Arik, S.1    Orman, Z.2
  • 4
    • 3142672983 scopus 로고    scopus 로고
    • Global robust stability of delayed recurrent neural networks
    • Cao J.D., Huang D.S., and Qu Y.Z. Global robust stability of delayed recurrent neural networks. Chaos, Solitons and Fractals 23 (2005) 221-229
    • (2005) Chaos, Solitons and Fractals , vol.23 , pp. 221-229
    • Cao, J.D.1    Huang, D.S.2    Qu, Y.Z.3
  • 5
    • 1642287604 scopus 로고    scopus 로고
    • Absolute exponential stability of recurrent neural networks with Lipschitz continuous activation functions and time delays
    • Cao J.D., and Wang J. Absolute exponential stability of recurrent neural networks with Lipschitz continuous activation functions and time delays. Neural Networks 17 (2004) 379-390
    • (2004) Neural Networks , vol.17 , pp. 379-390
    • Cao, J.D.1    Wang, J.2
  • 6
    • 14644434391 scopus 로고    scopus 로고
    • Global asymptotic and robust stability of recurrent neural networks with time delays
    • Cao J.D., and Wang J. Global asymptotic and robust stability of recurrent neural networks with time delays. IEEE Trans. Circuits Syst. I 52 (2005) 417-426
    • (2005) IEEE Trans. Circuits Syst. I , vol.52 , pp. 417-426
    • Cao, J.D.1    Wang, J.2
  • 7
    • 0000816471 scopus 로고    scopus 로고
    • A note on stability analysis of neural networks with time delays
    • Cao Y., and Wu Q. A note on stability analysis of neural networks with time delays. IEEE Trans. Neural Networks 7 (1996) 1533-1535
    • (1996) IEEE Trans. Neural Networks , vol.7 , pp. 1533-1535
    • Cao, Y.1    Wu, Q.2
  • 8
    • 0142087577 scopus 로고    scopus 로고
    • Delay-independent stability analysis of Cohen-Grossberg neural networks
    • Chen T.P., and Rong L.B. Delay-independent stability analysis of Cohen-Grossberg neural networks. Phys. Lett. A 317 (2003) 436-449
    • (2003) Phys. Lett. A , vol.317 , pp. 436-449
    • Chen, T.P.1    Rong, L.B.2
  • 9
    • 1242308776 scopus 로고    scopus 로고
    • Robust global exponential stability of Cohen-Grossberg neural networks with time delays
    • Chen T.P., and Rong L.B. Robust global exponential stability of Cohen-Grossberg neural networks with time delays. IEEE Trans. Neural Networks 15 (2004) 203-206
    • (2004) IEEE Trans. Neural Networks , vol.15 , pp. 203-206
    • Chen, T.P.1    Rong, L.B.2
  • 10
    • 33846426308 scopus 로고    scopus 로고
    • Global asymptotic stability of delayed Cohen-Grossberg neural networks
    • Chen Y.M. Global asymptotic stability of delayed Cohen-Grossberg neural networks. IEEE Trans. Circuits Syst. I: Regular Papers 53 (2006) 351-357
    • (2006) IEEE Trans. Circuits Syst. I: Regular Papers , vol.53 , pp. 351-357
    • Chen, Y.M.1
  • 11
    • 0020970741 scopus 로고
    • Stability and global pattern formulation and memory storage by competitive neural networks
    • Cohen M.A., and Grossberg S. Stability and global pattern formulation and memory storage by competitive neural networks. IEEE Trans. Syst. Man Cybern. 13 (1983) 815-826
    • (1983) IEEE Trans. Syst. Man Cybern. , vol.13 , pp. 815-826
    • Cohen, M.A.1    Grossberg, S.2
  • 12
    • 33144457797 scopus 로고    scopus 로고
    • Stability analysis of Cohen-Grossberg neural networks
    • Guo S.J., and Huang L.H. Stability analysis of Cohen-Grossberg neural networks. IEEE Trans. Neural Networks 17 (2006) 106-117
    • (2006) IEEE Trans. Neural Networks , vol.17 , pp. 106-117
    • Guo, S.J.1    Huang, L.H.2
  • 13
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-state neurons
    • Hopfield J.J. Neurons with graded response have collective computational properties like those of two-state neurons. Proc. Natl. Acad. Sci. 81 (1984) 3088-3092
    • (1984) Proc. Natl. Acad. Sci. , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 14
    • 33750046644 scopus 로고    scopus 로고
    • Dynamics of a class of Cohen-Grossberg neural networks with time-varying delays
    • Huang C.X., and Huang L.H. Dynamics of a class of Cohen-Grossberg neural networks with time-varying delays. Nonlinear Anal.: Real World Appl. 8 (2007) 40-52
    • (2007) Nonlinear Anal.: Real World Appl. , vol.8 , pp. 40-52
    • Huang, C.X.1    Huang, L.H.2
  • 15
    • 1042278960 scopus 로고    scopus 로고
    • Globally exponential stability of generalized Cohen-Grossberg neural networks with delays
    • Hwang C., Chang C., and Liao T. Globally exponential stability of generalized Cohen-Grossberg neural networks with delays. Phys. Lett. A 319 (2003) 157-166
    • (2003) Phys. Lett. A , vol.319 , pp. 157-166
    • Hwang, C.1    Chang, C.2    Liao, T.3
  • 16
    • 0036647562 scopus 로고    scopus 로고
    • LMI-based approach for asymptotic stability analysis of delayed neural networks
    • Liao X.F., Chen G.R., and Sanchez E.N. LMI-based approach for asymptotic stability analysis of delayed neural networks. IEEE Trans. Circuits Syst. I 49 (2002) 139-155
    • (2002) IEEE Trans. Circuits Syst. I , vol.49 , pp. 139-155
    • Liao, X.F.1    Chen, G.R.2    Sanchez, E.N.3
  • 17
    • 8444240791 scopus 로고    scopus 로고
    • Criteria for exponential stability of Cohen-Grossberg neural networks
    • Liao X.F., Li C.D., and Wong K. Criteria for exponential stability of Cohen-Grossberg neural networks. Neural Networks 17 (2004) 1401-1414
    • (2004) Neural Networks , vol.17 , pp. 1401-1414
    • Liao, X.F.1    Li, C.D.2    Wong, K.3
  • 18
    • 0035508792 scopus 로고    scopus 로고
    • Novel robust stability criteria for interval delayed Hopfield neural networks
    • Liao X.F., Wong K., Wu Z.F., and Chen G.R. Novel robust stability criteria for interval delayed Hopfield neural networks. IEEE Trans. Circuits Syst. I 48 (2001) 1355-1358
    • (2001) IEEE Trans. Circuits Syst. I , vol.48 , pp. 1355-1358
    • Liao, X.F.1    Wong, K.2    Wu, Z.F.3    Chen, G.R.4
  • 19
    • 0032165293 scopus 로고    scopus 로고
    • Robust stability for interval Hopfield neural networks with time delay
    • Liao X.F., and Yu J.B. Robust stability for interval Hopfield neural networks with time delay. IEEE Trans. Neural Networks 9 (1998) 1042-1046
    • (1998) IEEE Trans. Neural Networks , vol.9 , pp. 1042-1046
    • Liao, X.F.1    Yu, J.B.2
  • 20
    • 18844370416 scopus 로고    scopus 로고
    • Global exponential stability of Cohen-Grossberg neural networks with time varying delays
    • Liu J. Global exponential stability of Cohen-Grossberg neural networks with time varying delays. Chaos Solitions and Fractals 26 (2005) 935-945
    • (2005) Chaos Solitions and Fractals , vol.26 , pp. 935-945
    • Liu, J.1
  • 21
    • 30644470855 scopus 로고    scopus 로고
    • Global exponential stability analysis of Cohen-Grossberg neural networks
    • Lu H.T. Global exponential stability analysis of Cohen-Grossberg neural networks. IEEE Trans. Circuits Syst. II: Express Briefs 52 (2005) 476-479
    • (2005) IEEE Trans. Circuits Syst. II: Express Briefs , vol.52 , pp. 476-479
    • Lu, H.T.1
  • 22
    • 28244449615 scopus 로고    scopus 로고
    • Global exponential convergence of Cohen-Grossberg neural networks with time delays
    • Lu H.T., Shen R.M., and Chung F. Global exponential convergence of Cohen-Grossberg neural networks with time delays. IEEE Trans. Neural Networks 16 (2005) 1694-1696
    • (2005) IEEE Trans. Neural Networks , vol.16 , pp. 1694-1696
    • Lu, H.T.1    Shen, R.M.2    Chung, F.3
  • 23
    • 17144364278 scopus 로고    scopus 로고
    • LMI-based criteria for robust stability of Cohen-Grossberg neural networks with delay
    • Rong L.B. LMI-based criteria for robust stability of Cohen-Grossberg neural networks with delay. Phys. Lett. A 339 (2005) 63-73
    • (2005) Phys. Lett. A , vol.339 , pp. 63-73
    • Rong, L.B.1
  • 24
    • 12544252350 scopus 로고    scopus 로고
    • Global robust stability of delayed neural networks: an LMI approach
    • Singh V. Global robust stability of delayed neural networks: an LMI approach. IEEE Trans. Circuits Syst. II 52 (2005) 33-36
    • (2005) IEEE Trans. Circuits Syst. II , vol.52 , pp. 33-36
    • Singh, V.1
  • 25
    • 0037314654 scopus 로고    scopus 로고
    • Global robust exponential stability of interval neural networks with delays
    • Sun C.Y., and Feng C.B. Global robust exponential stability of interval neural networks with delays. Neural Process. Lett. 17 (2003) 107-115
    • (2003) Neural Process. Lett. , vol.17 , pp. 107-115
    • Sun, C.Y.1    Feng, C.B.2
  • 26
    • 21244436276 scopus 로고    scopus 로고
    • Global asymptotic stability of Cohen-Grossberg neural network with continuously distributed delays
    • Wan L., and Sun J.H. Global asymptotic stability of Cohen-Grossberg neural network with continuously distributed delays. Phys. Lett. A 342 (2005) 331-340
    • (2005) Phys. Lett. A , vol.342 , pp. 331-340
    • Wan, L.1    Sun, J.H.2
  • 27
    • 0035989169 scopus 로고    scopus 로고
    • Exponential stability of Cohen-Grossberg neural networks
    • Wang L., and Zou X.F. Exponential stability of Cohen-Grossberg neural networks. Neural Networks 15 (2002) 415-422
    • (2002) Neural Networks , vol.15 , pp. 415-422
    • Wang, L.1    Zou, X.F.2
  • 28
    • 0036722564 scopus 로고    scopus 로고
    • Harmless delays in Cohen-Grossberg neural networks
    • Wang L., and Zou X.F. Harmless delays in Cohen-Grossberg neural networks. Physica D 170 (2002) 162-173
    • (2002) Physica D , vol.170 , pp. 162-173
    • Wang, L.1    Zou, X.F.2
  • 29
    • 34249709488 scopus 로고    scopus 로고
    • Robust exponential stability analysis of neural networks with multiple time delays
    • Wang Z.S., Zhang H.G., and Yu W. Robust exponential stability analysis of neural networks with multiple time delays. Neurocomputing 70 (2007) 2534-2543
    • (2007) Neurocomputing , vol.70 , pp. 2534-2543
    • Wang, Z.S.1    Zhang, H.G.2    Yu, W.3
  • 30
    • 24144433780 scopus 로고    scopus 로고
    • Absolutely exponential stability of Cohen-Grossberg neural networks with unbounded delays
    • Xiong W.J., and Cao J.D. Absolutely exponential stability of Cohen-Grossberg neural networks with unbounded delays. Neurocomputing 68 (2005) 1-12
    • (2005) Neurocomputing , vol.68 , pp. 1-12
    • Xiong, W.J.1    Cao, J.D.2
  • 31
    • 27144538710 scopus 로고    scopus 로고
    • An analysis of global asymptotic stability of delayed Cohen-Grossberg neural networks via nonsmooth analysis
    • Yuan K., and Cao J.D. An analysis of global asymptotic stability of delayed Cohen-Grossberg neural networks via nonsmooth analysis. IEEE Trans. Circuits Syst. I: Regular Papers 52 (2005) 1854-1861
    • (2005) IEEE Trans. Circuits Syst. I: Regular Papers , vol.52 , pp. 1854-1861
    • Yuan, K.1    Cao, J.D.2
  • 32
    • 24944435991 scopus 로고    scopus 로고
    • H.G. Zhang, Z.S. Wang, D.R. Liu, Exponential Stability Analysis of Neural Networks with Multiple Time Delays, Lectures Notes in Computer Science, vol. 3496, Springer, Berlin, 2005, pp. 142-148.
    • H.G. Zhang, Z.S. Wang, D.R. Liu, Exponential Stability Analysis of Neural Networks with Multiple Time Delays, Lectures Notes in Computer Science, vol. 3496, Springer, Berlin, 2005, pp. 142-148.
  • 33
    • 15744372086 scopus 로고    scopus 로고
    • Global exponential stability of Cohen-Grossberg neural networks with variable delays
    • Zhang J.Y., Suda Y., and Komine H. Global exponential stability of Cohen-Grossberg neural networks with variable delays. Phys. Lett. A 338 (2005) 44-50
    • (2005) Phys. Lett. A , vol.338 , pp. 44-50
    • Zhang, J.Y.1    Suda, Y.2    Komine, H.3
  • 34
    • 33750309145 scopus 로고    scopus 로고
    • Dynamical behaviors of Cohen-Grossberg neural networks with delays and reaction-diffusion terms
    • Zhao H.Y., and Wang K.L. Dynamical behaviors of Cohen-Grossberg neural networks with delays and reaction-diffusion terms. Neurocomputing 70 (2006) 536-543
    • (2006) Neurocomputing , vol.70 , pp. 536-543
    • Zhao, H.Y.1    Wang, K.L.2
  • 35
    • 33846390068 scopus 로고    scopus 로고
    • Exponential stability of reaction-diffusion generalized Cohen-Grossberg neural networks with time-varying delays
    • Zhou Q.H., Wan L., and Sun J.H. Exponential stability of reaction-diffusion generalized Cohen-Grossberg neural networks with time-varying delays. Chaos Solitons and Fractals 32 (2007) 1713-1719
    • (2007) Chaos Solitons and Fractals , vol.32 , pp. 1713-1719
    • Zhou, Q.H.1    Wan, L.2    Sun, J.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.