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Volumn 53, Issue 3, 2006, Pages 644-652

Global asymptotic stability of a class of neural networks with distributed delays

Author keywords

Distributed delays; Equilibrium point global; M matrix; Neural networks; Symptotic stability; Time delay systems

Indexed keywords

ASYMPTOTIC STABILITY; DELAY CIRCUITS; MATRIX ALGEBRA; NUMERICAL ANALYSIS; STABILITY CRITERIA;

EID: 33645823698     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2005.859051     Document Type: Article
Times cited : (55)

References (27)
  • 1
    • 0030145211 scopus 로고    scopus 로고
    • "Equilibrium analysis of nonsymmetric CNN's"
    • S. Arik and V. Tavanoglu, "Equilibrium analysis of nonsymmetric CNN's," Int. J. Circuit Theory Appl., vol. 34, pp. 269-274, 1996.
    • (1996) Int. J. Circuit Theory Appl. , vol.34 , pp. 269-274
    • Arik, S.1    Tavanoglu, V.2
  • 2
    • 0027154346 scopus 로고
    • "Averaged networks"
    • T. A. Burton, "Averaged networks," Neural Networks, vol. 6, pp. 677-680, 1993.
    • (1993) Neural Networks , vol.6 , pp. 677-680
    • Burton, T.A.1
  • 3
    • 0024088955 scopus 로고
    • "Cellular neural networks: Theory"
    • Oct
    • L. O. Chua and L. Yang, "Cellular neural networks: Theory," IEEE Trans. Circuits Syst., vol. 35, no. 10, pp. 1257-1272, Oct. 1988.
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , Issue.10 , pp. 1257-1272
    • Chua, L.O.1    Yang, L.2
  • 4
    • 0026882236 scopus 로고
    • "Stability and dynamics of delay-type general and cellular neural n0etworks"
    • Jun
    • T. Roska, C. W. Wu, M. Balsi, and L. O. Chua, "Stability and dynamics of delay-type general and cellular neural networks," IEEE Trans. Circuits Syst. I, vol. 39, no. 6, pp. 487-490, Jun. 1992.
    • (1992) IEEE Trans. Circuits Syst. I , vol.39 , Issue.6 , pp. 487-490
    • Roska, T.1    Wu, C.W.2    Balsi, M.3    Chua, L.O.4
  • 5
    • 0036506075 scopus 로고    scopus 로고
    • "Exponential stability and periodic oscillatory solution in BAM networks with delays"
    • Mar
    • J. Cao and L. Wang, "Exponential stability and periodic oscillatory solution in BAM networks with delays," IEEE Trans. Neural Networks, vol. 13, no. 2, pp. 457-463, Mar. 2002.
    • (2002) IEEE Trans. Neural Networks , vol.13 , Issue.2 , pp. 457-463
    • Cao, J.1    Wang, L.2
  • 6
    • 0037216976 scopus 로고    scopus 로고
    • "Global asymptotic stability of a general class of recurrent neural networks with time-varying delays"
    • Jan
    • J. Cao and J. Wang, "Global asymptotic stability of a general class of recurrent neural networks with time-varying delays," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 1, pp. 34-44, Jan. 2003.
    • (2003) IEEE Trans. Circuits Syst. I. Fundam. Theory Appl. , vol.50 , Issue.1 , pp. 34-44
    • Cao, J.1    Wang, J.2
  • 7
    • 0037467691 scopus 로고    scopus 로고
    • "New results concerning exponential stability and periodic solutions of delayed cellular neural networks"
    • J. Cao, "New results concerning exponential stability and periodic solutions of delayed cellular neural networks," Phys. Lett. A, vol. 307, pp. 136-147, 2003.
    • (2003) Phys. Lett. A , vol.307 , pp. 136-147
    • Cao, J.1
  • 8
    • 0034719627 scopus 로고    scopus 로고
    • "On exponential stability and periodic solutions of CNN's with delays"
    • J. Cao, "On exponential stability and periodic solutions of CNN's with delays," Phys. Lett. A, vol. 267, pp. 312-318, 2000.
    • (2000) Phys. Lett. A , vol.267 , pp. 312-318
    • Cao, J.1
  • 9
    • 1642287604 scopus 로고    scopus 로고
    • "Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays"
    • J. Cao and J. Wang, "Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays," Neural Networks, vol. 17, pp. 379-390, 2004.
    • (2004) Neural Networks , vol.17 , pp. 379-390
    • Cao, J.1    Wang, J.2
  • 10
    • 0034233270 scopus 로고    scopus 로고
    • "Results concerning the absolute stability of delayed neural networks"
    • M. Joy, "Results concerning the absolute stability of delayed neural networks," Neural Networks, vol. 13, pp. 613-616, 2000.
    • (2000) Neural Networks , vol.13 , pp. 613-616
    • Joy, M.1
  • 11
    • 0030190617 scopus 로고    scopus 로고
    • "Robust stability of nonlinear time-delay systems with applications to neural networks"
    • Jul
    • H. Ye, A. N. Michel, and K. Wang, "Robust stability of nonlinear time-delay systems with applications to neural networks," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 43, no. 7, pp. 532-543, Jul. 1996.
    • (1996) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.43 , Issue.7 , pp. 532-543
    • Ye, H.1    Michel, A.N.2    Wang, K.3
  • 12
    • 2942626022 scopus 로고    scopus 로고
    • "Delay-dependent exponential stability of neural networks with variable delays"
    • W.-H. Chen, Z.-H. Guan, and X. Lu, "Delay-dependent exponential stability of neural networks with variable delays," Phys. Lett. A, vol. 326, pp. 355-363, 2004.
    • (2004) Phys. Lett. A , vol.326 , pp. 355-363
    • Chen, W.-H.1    Guan, Z.-H.2    Lu, X.3
  • 13
    • 0001075269 scopus 로고
    • "Stability in asymmetric Hopfield networks with transmission delays"
    • K. Gopalsamy and X. He, "Stability in asymmetric Hopfield networks with transmission delays," Physical D, vol. 76, pp. 344-358, 1994.
    • (1994) Physical D , vol.76 , pp. 344-358
    • Gopalsamy, K.1    He, X.2
  • 14
    • 0036754107 scopus 로고    scopus 로고
    • "Global stability of neural networks with distributed delays"
    • Y. Chen, "Global stability of neural networks with distributed delays," Neural Networks, vol. 15, pp. 867-871, 2002.
    • (2002) Neural Networks , vol.15 , pp. 867-871
    • Chen, Y.1
  • 15
    • 0037071084 scopus 로고    scopus 로고
    • "Global stability of bidirectional associative memory neural networks with distributed delays"
    • H. Y. Zhao, "Global stability of bidirectional associative memory neural networks with distributed delays," Phys. Lett. A, vol. 297, pp. 182-190, 2002.
    • (2002) Phys. Lett. A , vol.297 , pp. 182-190
    • Zhao, H.Y.1
  • 17
    • 0034801030 scopus 로고    scopus 로고
    • "On the stability analysis of delayed neural networks systems"
    • C. Feng and R. Plamondon, "On the stability analysis of delayed neural networks systems," Neural Networks, vol. 14, pp. 1181-1188, 2001.
    • (2001) Neural Networks , vol.14 , pp. 1181-1188
    • Feng, C.1    Plamondon, R.2
  • 18
    • 0035365656 scopus 로고    scopus 로고
    • "Convergence analysis of cellular neural networks with unbounded delay"
    • Jun
    • Z. Yi, P. A. Heng, and K. S. Leung, "Convergence analysis of cellular neural networks with unbounded delay," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 6, pp. 680-687, Jun. 2002.
    • (2002) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.48 , Issue.6 , pp. 680-687
    • Yi, Z.1    Heng, P.A.2    Leung, K.S.3
  • 19
    • 1642373914 scopus 로고    scopus 로고
    • "Absolutely exponential stability of a class of neural networks with unbounded delay"
    • J. Zhang, Y. Suda, and T. Iwasa, "Absolutely exponential stability of a class of neural networks with unbounded delay," Neural Networks, vol. 17, pp. 391-397, 2004.
    • (2004) Neural Networks , vol.17 , pp. 391-397
    • Zhang, J.1    Suda, Y.2    Iwasa, T.3
  • 20
    • 0042262759 scopus 로고    scopus 로고
    • "Global exponential stability of Hopfield neural networks with continuously distributed delays"
    • Q. Zhang, X. Wei, and J. Xu, "Global exponential stability of Hopfield neural networks with continuously distributed delays," Phys. Lett. A, vol. 315, pp. 431-436, 2003.
    • (2003) Phys. Lett. A , vol.315 , pp. 431-436
    • Zhang, Q.1    Wei, X.2    Xu, J.3
  • 21
    • 42749108924 scopus 로고    scopus 로고
    • "Exponential stability and periodic solutions of neural networks with distributed delays"
    • S. Guo and L. Huang, "Exponential stability and periodic solutions of neural networks with distributed delays," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 67, p. 011 902, 2003.
    • (2003) Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top , vol.67
    • Guo, S.1    Huang, L.2
  • 22
    • 0029345226 scopus 로고
    • "New conditions for global stability of neural networks with application to linear and quadratic programming problems"
    • Jul
    • M. Forti and A. Tesi, "New conditions for global stability of neural networks with application to linear and quadratic programming problems," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 42, no. 7, pp. 354-366, Jul. 1995.
    • (1995) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.42 , Issue.7 , pp. 354-366
    • Forti, M.1    Tesi, A.2
  • 23
    • 0000539285 scopus 로고
    • "On the stability properties for one-dimensional functional differential equations"
    • T. Krisztin, "On the stability properties for one-dimensional functional differential equations," Funcialaj Ekvacioj, vol. 34, pp. 241-256, 1991.
    • (1991) Funcialaj Ekvacioj , vol.34 , pp. 241-256
    • Krisztin, T.1
  • 24
    • 0032345336 scopus 로고    scopus 로고
    • "Stability of nonlinear differential equations with distributed delay"
    • A. P. Tchangani, M. Dambrine, J. P. Richard, and V. B. Kolmanovskii, "Stability of nonlinear differential equations with distributed delay," Nonlinear Anal., vol. 34, pp. 1081-1095, 1998.
    • (1998) Nonlinear Anal. , vol.34 , pp. 1081-1095
    • Tchangani, A.P.1    Dambrine, M.2    Richard, J.P.3    Kolmanovskii, V.B.4
  • 25
    • 0347511634 scopus 로고    scopus 로고
    • "Global asymptotic stability of Hopfield neural network involving distributed delays"
    • H. Zhao, "Global asymptotic stability of Hopfield neural network involving distributed delays," Neural Networks, vol. 17, pp. 47-53, 2004.
    • (2004) Neural Networks , vol.17 , pp. 47-53
    • Zhao, H.1
  • 26
    • 1542507110 scopus 로고    scopus 로고
    • "Global exponential stability for a class of generalized neural networks with distributed delays"
    • X. Liao, K. Wong, and C. Li, "Global exponential stability for a class of generalized neural networks with distributed delays," Nonlinear Anal.: Real World Applicat., vol. 5, pp. 527-547, 2004.
    • (2004) Nonlinear Anal.: Real World Applicat. , vol.5 , pp. 527-547
    • Liao, X.1    Wong, K.2    Li, C.3
  • 27
    • 8444240791 scopus 로고    scopus 로고
    • "Criteria for exponential stability of Cohen-Grossberg neural networks"
    • X. Liao, C. Li, and K. Wong, "Criteria for exponential stability of Cohen-Grossberg neural networks," Neural Networks, vol. 17, pp. 1401-1414, 2004.
    • (2004) Neural Networks , vol.17 , pp. 1401-1414
    • Liao, X.1    Li, C.2    Wong, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.