메뉴 건너뛰기




Volumn 17, Issue 5, 2006, Pages 1152-1164

Global exponential stability of multitime scale competitive neural networks with nonsmooth functions

Author keywords

Competitive neural networks; Global exponential stability; Multitime scale; Nonsmooth analysis

Indexed keywords

COMPETITIVE NEURAL NETWORKS; GLOBAL EXPONENTIAL STABILITY; MULTITIME SCALE; NONSMOOTH ANALYSIS;

EID: 33750116428     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2006.875995     Document Type: Article
Times cited : (41)

References (34)
  • 1
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-state neurons
    • J. J. Hopfield, "Neurons with graded response have collective computational properties like those of two-state neurons," Proc. Natl. Acad. Sci., vol. 81, pp. 3088-3092, 1984.
    • (1984) Proc. Natl. Acad. Sci , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 2
    • 0020970741 scopus 로고
    • Absolute stability and global pattern formation and parallel memory storage by competitive neural networks
    • May
    • M. A. Cohen and S. Grossberg, "Absolute stability and global pattern formation and parallel memory storage by competitive neural networks," IEEE Trans. Syst., Man, Cybern., vol. SMC-13, no. 5, pp. 815-821, May 1983.
    • (1983) IEEE Trans. Syst., Man, Cybern , vol.SMC-13 , Issue.5 , pp. 815-821
    • Cohen, M.A.1    Grossberg, S.2
  • 3
    • 0023847221 scopus 로고
    • On the stability, storage capacity, and design of nonlinear continuous neural networks
    • Jan
    • A. Guez, V. Protopopsecu, and J. Barhen, "On the stability, storage capacity, and design of nonlinear continuous neural networks," IEEE Trans. Syst., Man, Cybern., vol. SMC-18, pp. 80-87, Jan. 1988.
    • (1988) IEEE Trans. Syst., Man, Cybern , vol.SMC-18 , pp. 80-87
    • Guez, A.1    Protopopsecu, V.2    Barhen, J.3
  • 4
    • 0024909476 scopus 로고
    • Convergent activation dynamics in continuous time networks
    • M. W. Hirch, "Convergent activation dynamics in continuous time networks," Neutral Netw., vol. 2, pp. 331-349, 1989.
    • (1989) Neutral Netw , vol.2 , pp. 331-349
    • Hirch, M.W.1
  • 5
    • 0025405546 scopus 로고
    • Stability in contractive nonlinear networks
    • Mar
    • D. G. Kelly, "Stability in contractive nonlinear networks," IEEE Trans. Biomed. Eng., vol. 37, no. 3, pp. 231-242, Mar. 1990.
    • (1990) IEEE Trans. Biomed. Eng , vol.37 , Issue.3 , pp. 231-242
    • Kelly, D.G.1
  • 6
    • 0026679036 scopus 로고
    • Stability conditions for nonlinear continuous neural networks with asymmetric connection weights
    • K. Matsuoka, "Stability conditions for nonlinear continuous neural networks with asymmetric connection weights," Neural Netw., vol. 5, pp. 495-500, 1992.
    • (1992) Neural Netw , vol.5 , pp. 495-500
    • Matsuoka, K.1
  • 7
    • 0028465673 scopus 로고
    • Necessary and sufficient condtion for absolute stability of neural networks
    • Jul
    • M. Forti, S. Manetti, and M. Marini, "Necessary and sufficient condtion for absolute stability of neural networks," IEEE Trans. Circuits Syst. I, vol. 41, no. 7, pp. 491-494, Jul. 1994.
    • (1994) IEEE Trans. Circuits Syst. I , vol.41 , Issue.7 , pp. 491-494
    • Forti, M.1    Manetti, S.2    Marini, M.3
  • 8
    • 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, vol. 42, no. 7, pp. 354-365, Jul. 1995.
    • (1995) IEEE Trans. Circuits Syst. I , vol.42 , Issue.7 , pp. 354-365
    • Forti, M.1    Tesi, A.2
  • 9
    • 0033723205 scopus 로고    scopus 로고
    • A sufficient condition foraboslute stability of a large class of dynamical neural networks
    • Jun
    • S. Arik and V. Tavsanoglu, "A sufficient condition foraboslute stability of a large class of dynamical neural networks," IEEE Trans. Circuits Syst. I, vol. 47, no. 6, pp. 758-760, Jun. 2000.
    • (2000) IEEE Trans. Circuits Syst. I , vol.47 , Issue.6 , pp. 758-760
    • Arik, S.1    Tavsanoglu, V.2
  • 10
    • 0037507236 scopus 로고    scopus 로고
    • Global exponential stability of competitive neural networks with different time scales
    • May
    • A. Meyer-Baese, S. S. Pilyugin, and Y. Chen, "Global exponential stability of competitive neural networks with different time scales," IEEE Trans. Neural Netw., vol. 14, no. 3, pp. 716-719, May 2003.
    • (2003) IEEE Trans. Neural Netw , vol.14 , Issue.3 , pp. 716-719
    • Meyer-Baese, A.1    Pilyugin, S.S.2    Chen, Y.3
  • 11
    • 2342535229 scopus 로고    scopus 로고
    • Singular perturbation analysis of competitive neural networks with different time-scales
    • A. Meyer-Baese, F. Ohl, and H. Scheich, "Singular perturbation analysis of competitive neural networks with different time-scales," Neural Comput., vol. 8, pp. 1731-1742, 1996.
    • (1996) Neural Comput , vol.8 , pp. 1731-1742
    • Meyer-Baese, A.1    Ohl, F.2    Scheich, H.3
  • 12
    • 0005868643 scopus 로고
    • Competitive and cooperative aspects in dynamics of neural excitation and self-organization
    • S. Amari, "Competitive and cooperative aspects in dynamics of neural excitation and self-organization," Compel. Cooperat. Neural Netw., vol. 20, pp. 1-28, 1982.
    • (1982) Compel. Cooperat. Neural Netw , vol.20 , pp. 1-28
    • Amari, S.1
  • 13
    • 0020970745 scopus 로고
    • Field theory of self-organizing neural nets
    • Jul
    • _, "Field theory of self-organizing neural nets," IEEE Trans. Syst., Man, Cybern., vol. SMC-13, no. 7, pp. 741-748, Jul. 1983.
    • (1983) IEEE Trans. Syst., Man, Cybern , vol.SMC-13 , Issue.7 , pp. 741-748
    • Amari, S.1
  • 14
    • 0017120827 scopus 로고
    • Adaptive pattern classification and universal recording, 1: Parallel development and coding of neural feature detectors
    • S. Grossberg, "Adaptive pattern classification and universal recording, 1: Parallel development and coding of neural feature detectors," Biol. Cybern., vol. 23, pp. 121-134, 1976.
    • (1976) Biol. Cybern , vol.23 , pp. 121-134
    • Grossberg, S.1
  • 15
    • 0017083148 scopus 로고
    • Adaptive pattern classification and universal recording, 2: Feedback, expectation, elfaction and ellusions
    • _, "Adaptive pattern classification and universal recording, 2: Feedback, expectation, elfaction and ellusions," Biol. Cybern., vol. 23, pp. 187-202, 1976.
    • (1976) Biol. Cybern , vol.23 , pp. 187-202
    • Grossberg, S.1
  • 16
    • 0000028620 scopus 로고
    • Competition, decision and consensus
    • _, "Competition, decision and consensus," J. Math. Anal. Appl., vol. 66, pp. 470-493, 1978.
    • (1978) J. Math. Anal. Appl , vol.66 , pp. 470-493
    • Grossberg, S.1
  • 17
    • 0015749493 scopus 로고
    • Self-organization of orientation sensitive cells in the striate cortex
    • C. von der Malsburg, "Self-organization of orientation sensitive cells in the striate cortex," Kybernetik, vol. 14, pp. 85-100, 1973.
    • (1973) Kybernetik , vol.14 , pp. 85-100
    • von der Malsburg, C.1
  • 19
    • 0000558113 scopus 로고    scopus 로고
    • The development of topography in the visual cortex: A review of models
    • N. V. Swindale, "The development of topography in the visual cortex: A review of models," Network, vol. 7, pp. 161-247, 1996.
    • (1996) Network , vol.7 , pp. 161-247
    • Swindale, N.V.1
  • 20
    • 0024866007 scopus 로고
    • Emulating the dynamics for a class of laterally inhibited neural networks
    • M. Lemmon and V. Kumar, "Emulating the dynamics for a class of laterally inhibited neural networks," Neural Netw., vol. 2, pp. 193-214, 1989.
    • (1989) Neural Netw , vol.2 , pp. 193-214
    • Lemmon, M.1    Kumar, V.2
  • 21
    • 0033352722 scopus 로고    scopus 로고
    • Stable dynamic backpropagation learing in recurrent neural networks
    • Nov
    • L. Jin and M. Gupta, "Stable dynamic backpropagation learing in recurrent neural networks," IEEE Trans. Neural Netw., vol. 10, no. 6, pp. 1321-1334, Nov. 1999.
    • (1999) IEEE Trans. Neural Netw , vol.10 , Issue.6 , pp. 1321-1334
    • Jin, L.1    Gupta, M.2
  • 22
    • 0032664889 scopus 로고    scopus 로고
    • Leraning continuous trajectories in recurrent neural networks with time-dependent weights
    • Jul
    • M. Galicki, L. Leistritz, and H. Writte, "Leraning continuous trajectories in recurrent neural networks with time-dependent weights," IEEE Trans. Neural Netw., vol. 10, no. 4, pp. 741-756, Jul. 1999.
    • (1999) IEEE Trans. Neural Netw , vol.10 , Issue.4 , pp. 741-756
    • Galicki, M.1    Leistritz, L.2    Writte, H.3
  • 23
    • 0033640676 scopus 로고    scopus 로고
    • Robust local stability of multilayer recurrent nerual networks
    • Jan
    • J. Suykens, B. Moor, and J. Vandewalle, "Robust local stability of multilayer recurrent nerual networks," IEEE Trans. Neural Netw., vol. 11, no. 1, pp. 222-229, Jan. 2000.
    • (2000) IEEE Trans. Neural Netw , vol.11 , Issue.1 , pp. 222-229
    • Suykens, J.1    Moor, B.2    Vandewalle, J.3
  • 24
    • 28244469656 scopus 로고    scopus 로고
    • Existence and global exponential stability of almost periodic solution for cellular neural networks with variable coefficients and time-varying delays
    • Nov
    • H. Jiang, L. Zhang, and Z. Teng, "Existence and global exponential stability of almost periodic solution for cellular neural networks with variable coefficients and time-varying delays," IEEE Trans. Neural Netw., vol. 16, no. 6, pp. 1340-1351, Nov. 2005.
    • (2005) IEEE Trans. Neural Netw , vol.16 , Issue.6 , pp. 1340-1351
    • Jiang, H.1    Zhang, L.2    Teng, Z.3
  • 25
    • 19344376870 scopus 로고    scopus 로고
    • Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays
    • May
    • S. Arik, "Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays," IEEE Traits. Neural Netw., vol. 16, no. 3, pp. 580-586, May 2005.
    • (2005) IEEE Traits. Neural Netw , vol.16 , Issue.3 , pp. 580-586
    • Arik, S.1
  • 26
    • 28244452021 scopus 로고    scopus 로고
    • Global exponential stability and global convergence in finite time of delayed neural networks with infinite gain
    • Nov
    • M. Forti, P. Nistri, and D. Papini, "Global exponential stability and global convergence in finite time of delayed neural networks with infinite gain," IEEE Trans. Neural Netw., vol. 16, no. 6, pp. 1449-1463, Nov. 2005.
    • (2005) IEEE Trans. Neural Netw , vol.16 , Issue.6 , pp. 1449-1463
    • Forti, M.1    Nistri, P.2    Papini, D.3
  • 27
    • 28244432161 scopus 로고    scopus 로고
    • Exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays
    • Nov
    • X. Liu, K. L. Teo, and B. Xu, "Exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays," IEEE Trans. Neural Netw., vol. 16, no. 6, pp. 1329-1339, Nov. 2005.
    • (2005) IEEE Trans. Neural Netw , vol.16 , Issue.6 , pp. 1329-1339
    • Liu, X.1    Teo, K.L.2    Xu, B.3
  • 28
    • 1242308790 scopus 로고    scopus 로고
    • Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis
    • Jan
    • H. Qi and L. Qi, "Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis," IEEE Trans. Neural Netw., vol. 15, no. 1, pp. 99-109, Jan. 2004.
    • (2004) IEEE Trans. Neural Netw , vol.15 , Issue.1 , pp. 99-109
    • Qi, H.1    Qi, L.2
  • 29
    • 28244475869 scopus 로고    scopus 로고
    • Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis - II
    • Nov
    • H. Qi, L. Qi, and X. Yang, "Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis - II," IEEE Trans. Neural Netw., vol. 16, no. 6, pp. 1701-1706, Nov. 2005.
    • (2005) IEEE Trans. Neural Netw , vol.16 , Issue.6 , pp. 1701-1706
    • Qi, H.1    Qi, L.2    Yang, X.3
  • 32
    • 0000997944 scopus 로고
    • Hadamard theorem for locally Lipschitzian maps
    • B. H. Pourciau, "Hadamard theorem for locally Lipschitzian maps," J. Math. Anal. Appl., vol. 85, pp. 279-285, 1982.
    • (1982) J. Math. Anal. Appl , vol.85 , pp. 279-285
    • Pourciau, B.H.1
  • 34
    • 0000662817 scopus 로고    scopus 로고
    • A comment on 'equilibria, stability, and instability of Hopfield neural networks'
    • Nov
    • X. B. Liang, "A comment on 'equilibria, stability, and instability of Hopfield neural networks'," IEEE Trans. Neural Netw., vol. 11, no. 6, pp. 1506-1507, Nov. 2000.
    • (2000) IEEE Trans. Neural Netw , vol.11 , Issue.6 , pp. 1506-1507
    • Liang, X.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.