메뉴 건너뛰기




Volumn 35, Issue 2, 2007, Pages 105-130

M-matrices and global convergence of discontinuous neural networks

Author keywords

Convergence in finite time; Discontinuous neuron activations; Global exponential convergence; Neural networks; Sliding modes

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; FINITE AUTOMATA; LYAPUNOV FUNCTIONS;

EID: 33947725692     PISSN: 00989886     EISSN: 1097007X     Source Type: Journal    
DOI: 10.1002/cta.381     Document Type: Article
Times cited : (44)

References (29)
  • 1
    • 0027582973 scopus 로고
    • Stability of cellular neural networks with dominant nonlinear and delay-type templates
    • Roska T, Wu CW, Chua LO. Stability of cellular neural networks with dominant nonlinear and delay-type templates. IEEE Transactions on Circuits and Systems I 1993; 40:270-271.
    • (1993) IEEE Transactions on Circuits and Systems I , vol.40 , pp. 270-271
    • Roska, T.1    Wu, C.W.2    Chua, L.O.3
  • 3
    • 0029345226 scopus 로고
    • New conditions for global stability of neural networks with application to linear and quadratic programming problems
    • Forti M, Tesi A. New conditions for global stability of neural networks with application to linear and quadratic programming problems. IEEE Transactions on Circuits and Systems I 1995; 42(7):354-366.
    • (1995) IEEE Transactions on Circuits and Systems I , vol.42 , Issue.7 , pp. 354-366
    • Forti, M.1    Tesi, A.2
  • 4
    • 0035508696 scopus 로고    scopus 로고
    • An additive diagonal stability condition for absolute stability of a general class of neural networks
    • Liang X-B, Wang J. An additive diagonal stability condition for absolute stability of a general class of neural networks. IEEE Transactions on Circuits and Systems I 2001; 48(11):1308-1317.
    • (2001) IEEE Transactions on Circuits and Systems I , vol.48 , Issue.11 , pp. 1308-1317
    • Liang, X.-B.1    Wang, J.2
  • 5
    • 0036539447 scopus 로고    scopus 로고
    • A projection neural network and its application to constrained optimization problems
    • Xia Y, Wang J. A projection neural network and its application to constrained optimization problems. IEEE Transactions on Circuits and Systems I 2002; 49:447-458.
    • (2002) IEEE Transactions on Circuits and Systems I , vol.49 , pp. 447-458
    • Xia, Y.1    Wang, J.2
  • 6
    • 0033730279 scopus 로고    scopus 로고
    • On the global asymptotic stability of delayed cellular neural networks
    • Arik A, Tavsanoglu V. On the global asymptotic stability of delayed cellular neural networks. IEEE Transactions on Circuits and Systems I 2000; 47:571-574.
    • (2000) IEEE Transactions on Circuits and Systems I , vol.47 , pp. 571-574
    • Arik, A.1    Tavsanoglu, V.2
  • 7
    • 1242308790 scopus 로고    scopus 로고
    • Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis
    • Qi H, Qi L. Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis. IEEE Transactions on Neural Networks 2004; 15:99-109.
    • (2004) IEEE Transactions on Neural Networks , vol.15 , pp. 99-109
    • Qi, H.1    Qi, L.2
  • 9
    • 14644434391 scopus 로고    scopus 로고
    • Global asymptotic and robust stability of recurrent neural networks with time delays
    • Cao J, Wang J. Global asymptotic and robust stability of recurrent neural networks with time delays. IEEE Transactions on Circuits and Systems I 2005; 52(2):417-426.
    • (2005) IEEE Transactions on Circuits and Systems I , vol.52 , Issue.2 , pp. 417-426
    • Cao, J.1    Wang, J.2
  • 10
    • 0242696111 scopus 로고    scopus 로고
    • Global convergence of neural networks with discontinuous neuron activations
    • Forti M, Nistri P. Global convergence of neural networks with discontinuous neuron activations. IEEE Transactions on Circuits and Systems I 2003; 50(11):1421-1435.
    • (2003) IEEE Transactions on Circuits and Systems I , vol.50 , Issue.11 , pp. 1421-1435
    • Forti, M.1    Nistri, P.2
  • 11
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-state neurons
    • Hopfield JJ. Neurons with graded response have collective computational properties like those of two-state neurons. Proceedings of the National Academy of Sciences 1984; 81:3088-3092.
    • (1984) Proceedings of the National Academy of Sciences , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 12
    • 84939321282 scopus 로고
    • Analysis and synthesis of a class of neural networks: Variable structure systems with infinite gain
    • Li J-H, Michel AN, Porod W. Analysis and synthesis of a class of neural networks: variable structure systems with infinite gain. IEEE Transactions on Circuits and Systems 1989; 36:713-731.
    • (1989) IEEE Transactions on Circuits and Systems , vol.36 , pp. 713-731
    • Li, J.-H.1    Michel, A.N.2    Porod, W.3
  • 14
    • 0033354129 scopus 로고    scopus 로고
    • An analysis of a class of neural networks for solving linear programming problems
    • Chong EKP, Hui S, Żak SH. An analysis of a class of neural networks for solving linear programming problems. IEEE Transactions on Automatic Control 1999; 44:1095-2006.
    • (1999) IEEE Transactions on Automatic Control , vol.44 , pp. 1095-2006
    • Chong, E.K.P.1    Hui, S.2    Żak, S.H.3
  • 16
    • 0035272288 scopus 로고    scopus 로고
    • Global exponential stability of neural networks with globally Lipschitz continuous activations and its application to linear variational inequality problem
    • Liang X-B, Si J. Global exponential stability of neural networks with globally Lipschitz continuous activations and its application to linear variational inequality problem. IEEE Transactions on Neural Networks 2001; 12(2):349-359.
    • (2001) IEEE Transactions on Neural Networks , vol.12 , Issue.2 , pp. 349-359
    • Liang, X.-B.1    Si, J.2
  • 17
    • 0037274395 scopus 로고    scopus 로고
    • Absolute exponential stability of a class of continuous-time recurrent neural networks
    • Hu S, Wang J. Absolute exponential stability of a class of continuous-time recurrent neural networks. IEEE Transactions on Neural Networks 2003; 14(1):35-45.
    • (2003) IEEE Transactions on Neural Networks , vol.14 , Issue.1 , pp. 35-45
    • Hu, S.1    Wang, J.2
  • 21
    • 0003608430 scopus 로고
    • Differential Equations with Discontinuous Right-Hand Side, Mathematics and its Applications
    • Kluwer Academic Publishers: Boston
    • Filippov AF. Differential Equations with Discontinuous Right-Hand Side, Mathematics and its Applications (Soviet Series). Kluwer Academic Publishers: Boston, 1988.
    • (1988) Soviet Series
    • Filippov, A.F.1
  • 25
    • 0023123261 scopus 로고
    • Calculus for computing Filippov's differential inclusion with application to the variable structure control of robot manipulator
    • Paden BE, Sastry SS. Calculus for computing Filippov's differential inclusion with application to the variable structure control of robot manipulator. IEEE Transactions on Circuits and Systems 1987; 34:73-82.
    • (1987) IEEE Transactions on Circuits and Systems , vol.34 , pp. 73-82
    • Paden, B.E.1    Sastry, S.S.2
  • 26
    • 38249012613 scopus 로고
    • Recent directions in matrix stability
    • Hershkowitz D. Recent directions in matrix stability. Linear Algebra Applications 1992; 171:161-186.
    • (1992) Linear Algebra Applications , vol.171 , pp. 161-186
    • Hershkowitz, D.1
  • 27
    • 0024909476 scopus 로고
    • Convergent activation dynamics in continuous time networks
    • Hirsch M. Convergent activation dynamics in continuous time networks. Neural Networks 1989; 2:331-349.
    • (1989) Neural Networks , vol.2 , pp. 331-349
    • Hirsch, M.1
  • 28
    • 0034243274 scopus 로고    scopus 로고
    • Absolute exponential stability of neural networks with a general class of activation functions
    • Liang X-B, Wang J. Absolute exponential stability of neural networks with a general class of activation functions. IEEE Transactions on Circuits and Systems I 2000; 47(8):1258-1263.
    • (2000) IEEE Transactions on Circuits and Systems I , vol.47 , Issue.8 , pp. 1258-1263
    • Liang, X.-B.1    Wang, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.