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Volumn 18, Issue 3, 1999, Pages 241-267

Linear systems in a saturated mode and convergence as gain becomes large of asymptotically stable equilibrium points of neural nets

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; NEURAL NETWORKS; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0032647462     PISSN: 0278081X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01225697     Document Type: Article
Times cited : (6)

References (16)
  • 1
    • 0030083929 scopus 로고    scopus 로고
    • Convergence acceleration of the Hopfield neural network by optimizing integration step sizes
    • S. Abe, Convergence acceleration of the Hopfield neural network by optimizing integration step sizes, IEEE Trans. Systems Man Cybernet. - Part B: Cybernet., 26, 194-201, 1996.
    • (1996) IEEE Trans. Systems Man Cybernet. - Part B: Cybernet. , vol.26 , pp. 194-201
    • Abe, S.1
  • 5
    • 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. Nat. Acad. Sci. USA, 81, 3088-3092, 1984.
    • (1984) Proc. Nat. Acad. Sci. USA , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 6
    • 0024054127 scopus 로고
    • Qualitative analysis and synthesis of a class of neural networks
    • J. H. Li, A. N. Michel, and W. Porod, Qualitative analysis and synthesis of a class of neural networks, IEEE Trans. Circuits Systems, 36, 976-986, 1988.
    • (1988) IEEE Trans. Circuits Systems , vol.36 , pp. 976-986
    • Li, J.H.1    Michel, A.N.2    Porod, W.3
  • 7
    • 0024765401 scopus 로고
    • Analysis and synthesis of a class of neural networks: Linear systems operating on a closed hypercube
    • J. H. Li, A. N. Michel, and W. Porod, Analysis and synthesis of a class of neural networks: Linear systems operating on a closed hypercube, IEEE Trans. Circuits Systems, 36, 1405-1442, 1989.
    • (1989) IEEE Trans. Circuits Systems , vol.36 , pp. 1405-1442
    • Li, J.H.1    Michel, A.N.2    Porod, W.3
  • 8
    • 0026941884 scopus 로고
    • Asymptotic stability of systems operating on a closed hypercube
    • D. Liu and A. Michel, Asymptotic stability of systems operating on a closed hypercube, Systems Control Lett., 19, 281-285, 1992.
    • (1992) Systems Control Lett. , vol.19 , pp. 281-285
    • Liu, D.1    Michel, A.2
  • 9
    • 0025792731 scopus 로고
    • Analysis and synthesis of a class of discrete-time neural networks described on hypercubes
    • A. Michel, J. Si, and G. Yen, Analysis and synthesis of a class of discrete-time neural networks described on hypercubes, IEEE Trans. Neural Networks, 2, 32-46, 1991.
    • (1991) IEEE Trans. Neural Networks , vol.2 , pp. 32-46
    • Michel, A.1    Si, J.2    Yen, G.3
  • 10
    • 0011677358 scopus 로고
    • Semi-gropus of nonlinear contractions in Hilbert space
    • ed. Prodi, Cremonese, CIME Varenna
    • A. Pazy, Semi-gropus of nonlinear contractions in Hilbert space, in Problems in Nonlinear Analysis, ed. Prodi, Cremonese, CIME Varenna, 1971.
    • (1971) Problems in Nonlinear Analysis
    • Pazy, A.1
  • 11
    • 0028515060 scopus 로고
    • On the op-amp based circuit design of cellular neural networks
    • R. Perfetti, On the op-amp based circuit design of cellular neural networks, Internat. J. Circuit Theory Appl., 22, 425-430, 1994.
    • (1994) Internat. J. Circuit Theory Appl. , vol.22 , pp. 425-430
    • Perfetti, R.1
  • 12
    • 0027632628 scopus 로고
    • Location and stability of the high gain equilibria of nonlinear neural networks
    • M. Vidyasagar, Location and stability of the high gain equilibria of nonlinear neural networks, IEEE Trans. Neural Networks, 4, 660-671, 1993.
    • (1993) IEEE Trans. Neural Networks , vol.4 , pp. 660-671
    • Vidyasagar, M.1
  • 14
    • 0029358102 scopus 로고
    • Minimum seeking properties of analog neural networks with multilinear objective functions
    • M. Vidyasagar, Minimum seeking properties of analog neural networks with multilinear objective functions, IEEE Trans. Automat. Control, 40, 1359-1375, 1995.
    • (1995) IEEE Trans. Automat. Control , vol.40 , pp. 1359-1375
    • Vidyasagar, M.1
  • 15
    • 0004137989 scopus 로고    scopus 로고
    • Solution of difficult combinatorial optimization problems using analog neural networks with discontinuous dynamics
    • Singapore
    • M. Vidyasagar, Solution of difficult combinatorial optimization problems using analog neural networks with discontinuous dynamics, in International Conference on Automation, Robotics, Control and Computer Vision, Singapore, 1996.
    • (1996) International Conference on Automation, Robotics, Control and Computer Vision
    • Vidyasagar, M.1
  • 16
    • 0030147545 scopus 로고    scopus 로고
    • A coupled gradient network approach for static and temporal mixed integer optimization
    • P. B. Watta and M. H. Hassoun, A coupled gradient network approach for static and temporal mixed integer optimization, IEEE Trans. Neural Networks, 7, 578-593, 1996.
    • (1996) IEEE Trans. Neural Networks , vol.7 , pp. 578-593
    • Watta, P.B.1    Hassoun, M.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.