메뉴 건너뛰기




Volumn 52, Issue 11, 2005, Pages 2482-2489

Global convergence of Lotka-Volterra recurrent neural networks with delays

Author keywords

Delay; Global convergence; Lotka Volterra recurrent neural networks

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; LYAPUNOV METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA;

EID: 28444431612     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2005.853940     Document Type: Article
Times cited : (25)

References (31)
  • 1
    • 0034226201 scopus 로고    scopus 로고
    • "Stability analysis of delayed neural networks"
    • Jul
    • S. Arik, "Stability analysis of delayed neural networks," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 47, no. 7, pp. 1089-1092, Jul. 2000.
    • (2000) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.47 , Issue.7 , pp. 1089-1092
    • Arik, S.1
  • 2
    • 0033106132 scopus 로고    scopus 로고
    • "A subthreshold MOS circuit for the Lotka-Volterra neural network producing the winner-share-all solution"
    • T. Asai, T. Fukai, and S. Tanaka, "A subthreshold MOS circuit for the Lotka-Volterra neural network producing the winner-share-all solution," Neur. Networks, vol. 12, pp. 211-216, 1999.
    • (1999) Neur. Networks , vol.12 , pp. 211-216
    • Asai, T.1    Fukai, T.2    Tanaka, S.3
  • 3
    • 0032594855 scopus 로고    scopus 로고
    • "Analog integrated circuits for the Lotka-Volterra competitive neural networks"
    • Oct
    • T. Asai, M. Ohtani, and H. Yonezu, "Analog integrated circuits for the Lotka-Volterra competitive neural networks," IEEE Trans. Neur.Networks, vol. 10, no. 5, pp. 1222-1231, Oct. 1999.
    • (1999) IEEE Trans. Neur. Networks , vol.10 , Issue.5 , pp. 1222-1231
    • Asai, T.1    Ohtani, M.2    Yonezu, H.3
  • 4
    • 0028468031 scopus 로고
    • "How delays affect neural dynamics and learning"
    • Aug
    • P. Baldi and A. F. Atiya, "How delays affect neural dynamics and learning," IEEE Trans. Neur. Networks, vol. 5, no. 4, pp. 612-621, Aug. 1994.
    • (1994) IEEE Trans. Neur. Networks , vol.5 , Issue.4 , pp. 612-621
    • Baldi, P.1    Atiya, A.F.2
  • 6
    • 0032298907 scopus 로고    scopus 로고
    • "Global attractivity in delayed Hopfield neural network models"
    • P. V. D. Driessche and X. Zou, "Global attractivity in delayed Hopfield neural network models," SIAM J. Appl. Math., vol. 58, no. 6, pp. 1878-1890, 1998.
    • (1998) SIAM J. Appl. Math. , vol.58 , Issue.6 , pp. 1878-1890
    • Driessche, P.V.D.1    Zou, X.2
  • 7
    • 0030631860 scopus 로고    scopus 로고
    • "A simple neural network exhibiting selective activation of neuronal ensembles: From winner-take-all to winnershare-all"
    • T. Fukai and S. Tanaka, "A simple neural network exhibiting selective activation of neuronal ensembles: from winner-take-all to winnershare-all," Neur. Comput., vol. 9, pp. 77-97, 1997.
    • (1997) Neur. Comput. , vol.9 , pp. 77-97
    • Fukai, T.1    Tanaka, S.2
  • 8
    • 0028484639 scopus 로고
    • "Stability of cellular neural networks and delayed neural networks with nonpositive templates and nonmonotonic output functions"
    • Aug
    • M. Gilli, "Stability of cellular neural networks and delayed neural networks with nonpositive templates and nonmonotonic output functions," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 41, no. 8, pp. 518-528, Aug. 1994.
    • (1994) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.41 , Issue.8 , pp. 518-528
    • Gilli, M.1
  • 9
    • 0001075269 scopus 로고
    • "Stability in asymmetric Hopfield nets with transmission delays"
    • K. Gopalsamy and X. Z. He, "Stability in asymmetric Hopfield nets with transmission delays," Phys. D. vol. 76, pp. 344-358, 1994.
    • (1994) Phys. D , vol.76 , pp. 344-358
    • Gopalsamy, K.1    He, X.Z.2
  • 10
    • 0032096386 scopus 로고    scopus 로고
    • "On the piecewise analysis of linear threshold neural networks"
    • R. L. T. Hahnloser, "On the piecewise analysis of linear threshold neural networks," Neur. Networks, vol. 11, pp. 691-697, 1998.
    • (1998) Neur. Networks , vol.11 , pp. 691-697
    • Hahnloser, R.L.T.1
  • 12
    • 0004469897 scopus 로고
    • "Neurons with graded response have collective computational properties like those of two-state neurons"
    • May
    • J. J. Hopfield, "Neurons with graded response have collective computational properties like those of two-state neurons," Proc. Natl. Acad. Sci. USA, vol. 81, no. 10, pp. 3088-3092, May 1984.
    • (1984) Proc. Natl. Acad. Sci. USA , vol.81 , Issue.10 , pp. 3088-3092
    • Hopfield, J.J.1
  • 13
    • 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," Neur. Networks, vol. 13, pp. 613-616, 2000.
    • (2000) Neur. Networks , vol.13 , pp. 613-616
    • Joy, M.1
  • 14
    • 0034548914 scopus 로고    scopus 로고
    • "On stability of nonlinear continuous-time neural networks with delays"
    • H. Lu, "On stability of nonlinear continuous-time neural networks with delays," Neur. Networks, vol. 13, pp. 1135-1143, 2000.
    • (2000) Neur. Networks , vol.13 , pp. 1135-1143
    • Lu, H.1
  • 15
    • 0035510405 scopus 로고    scopus 로고
    • "Stability criteria for delayed neural networks"
    • H. Lu, "Stability criteria for delayed neural networks," Phys. Rev. E, vol. 64, p. 051 901, 2001.
    • (2001) Phys. Rev. E , vol.64
    • Lu, H.1
  • 16
    • 0000256610 scopus 로고
    • "Stability of analog neural networks with delay"
    • C. M. Marcus and R. M. Westervelt, "Stability of analog neural networks with delay," Phys. Rev. A, vol. 39, no. 1, pp. 347-359, 1989.
    • (1989) Phys. Rev. A , vol.39 , Issue.1 , pp. 347-359
    • Marcus, C.M.1    Westervelt, R.M.2
  • 17
    • 0001266424 scopus 로고    scopus 로고
    • "Transient reigme duration in continuous-time neuaral networks with delay"
    • K. Pakdaman, C. G. Ragazzo, and C. P. Malta, "Transient reigme duration in continuous-time neuaral networks with delay," Phy. Rev. E, vol. 58, no. 3, pp. 3623-3627, 1998.
    • (1998) Phy. Rev. E , vol.58 , Issue.3 , pp. 3623-3627
    • Pakdaman, K.1    Ragazzo, C.G.2    Malta, C.P.3
  • 18
    • 0026882236 scopus 로고
    • "Stability and dynamics of delay-type general and cellular neural networks"
    • Jan
    • 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, Fundam. Theory Appl., vol. 39, no. 6, pp. 487-490, Jan. 1992.
    • (1992) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.39 , Issue.6 , pp. 487-490
    • Roska, T.1    Wu, C.W.2    Balsi, M.3    Chua, L.O.4
  • 19
    • 0034204697 scopus 로고    scopus 로고
    • "A new sufficient condition for complete stability of cellular neural networks with delay"
    • Jun
    • N. Takahashi, "A new sufficient condition for complete stability of cellular neural networks with delay," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 47, no. 6, pp. 793-799, Jun. 2000.
    • (2000) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.47 , Issue.6 , pp. 793-799
    • Takahashi, N.1
  • 21
    • 0032097801 scopus 로고    scopus 로고
    • "On the dynamics of discrete-time, continuous-state Hopfield neural networks"
    • Jun
    • L. Wang, "On the dynamics of discrete-time, continuous-state Hopfield neural networks," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 45, no. 6, pp. 747-749, Jun. 1998.
    • (1998) IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process. , vol.45 , Issue.6 , pp. 747-749
    • Wang, L.1
  • 22
    • 0000370625 scopus 로고    scopus 로고
    • "Discrete-time convergence theory and updating roles for neural networks with energy functions"
    • Mar
    • L. Wang, "Discrete-time convergence theory and updating roles for neural networks with energy functions," IEEE Trans. Neur. Networks, vol. 8, no. 2, pp. 445-447, Mar. 1997.
    • (1997) IEEE Trans. Neur. Networks , vol.8 , Issue.2 , pp. 445-447
    • Wang, L.1
  • 23
    • 0035432452 scopus 로고    scopus 로고
    • "Dynamical stability conditions for recurrent neural networks with unsaturating piecewise linear transfer functions"
    • H. Wersing, W. J. Beyn, and H. Ritter, "Dynamical stability conditions for recurrent neural networks with unsaturating piecewise linear transfer functions," Neut. Comput., vol. 13, pp. 1811-1825, 2001.
    • (2001) Neut. Comput. , vol.13 , pp. 1811-1825
    • Wersing, H.1    Beyn, W.J.2    Ritter, H.3
  • 24
    • 0031117337 scopus 로고    scopus 로고
    • "A more rigorous proof of complete stability of cellular neural networks"
    • Apr
    • C. W. Wu and L. O. Chua, "A more rigorous proof of complete stability of cellular neural networks," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 44, no. 4, pp. 370-371, Apr. 1997.
    • (1997) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.44 , Issue.4 , pp. 370-371
    • Wu, C.W.1    Chua, L.O.2
  • 25
    • 0000791959 scopus 로고
    • "Global stability and local stability of Hopfield neural networks with delays"
    • H. Ye, A. N. Michel, and K. Wang, "Global stability and local stability of Hopfield neural networks with delays," Phys. Rev. E, vol. 50, no. 5, pp. 4206-4213, 1994.
    • (1994) Phys. Rev. E , vol.50 , Issue.5 , pp. 4206-4213
    • Ye, H.1    Michel, A.N.2    Wang, K.3
  • 26
    • 0030087313 scopus 로고    scopus 로고
    • "Global exponential stability and periodic solutions of delay Hopfield neural networks"
    • Z. Yi, "Global exponential stability and periodic solutions of delay Hopfield neural networks," Int. J. Syst. Sci., vol. 27, no. 2, pp. 227-231, 1996.
    • (1996) Int. J. Syst. Sci. , vol.27 , Issue.2 , pp. 227-231
    • Yi, Z.1
  • 27
    • 0036475650 scopus 로고    scopus 로고
    • "Stability of fuzzy control systems with bounded uncertain delays"
    • Jan
    • Z. Yi and P. A. Heng, "Stability of fuzzy control systems with bounded uncertain delays," IEEE Trans. Fuzzy Syst., vol. 10, no. 1, pp. 92-97, Jan. 2002.
    • (2002) IEEE Trans. Fuzzy Syst. , vol.10 , Issue.1 , pp. 92-97
    • Yi, Z.1    Heng, P.A.2
  • 28
    • 33646974391 scopus 로고    scopus 로고
    • "Dynamic stability conditions for Lotlca-Volterra recurrent neural networks with delays"
    • Z. Yi and K. K. Tan, "Dynamic stability conditions for Lotlca-Volterra recurrent neural networks with delays," Phys. Rev. E, vol. 66, p. 011 910, 2002.
    • (2002) Phys. Rev. E , vol.66
    • Yi, Z.1    Tan, K.K.2
  • 29
    • 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. 2001.
    • (2001) 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
  • 30
    • 0033332523 scopus 로고    scopus 로고
    • "Estimate of exponential convergence rate and exponential stability for neural networks"
    • Dec
    • Z. Yi, P. A. Heng, and A. W. C. Fu, "Estimate of exponential convergence rate and exponential stability for neural networks," IEEE Trans. Neur. Networks, vol. 10, no. 6, pp. 1487-1493, Dec. 1999.
    • (1999) IEEE Trans. Neur. Networks , vol.10 , Issue.6 , pp. 1487-1493
    • Yi, Z.1    Heng, P.A.2    Fu, A.W.C.3
  • 31
    • 0036475193 scopus 로고    scopus 로고
    • "Absolute periodicity and absolute stability of delayed neural networks"
    • Feb
    • Z. Yi, P. A. Heng, and P. Vadakkepat, "Absolute periodicity and absolute stability of delayed neural networks," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 49, no. 2, pp. 256-261, Feb. 2002.
    • (2002) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.49 , Issue.2 , pp. 256-261
    • Yi, Z.1    Heng, P.A.2    Vadakkepat, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.