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Volumn 199, Issue 3-4, 2004, Pages 425-436

Exponential stability of high-order bidirectional associative memory neural networks with time delays

Author keywords

Bidirectional associative memory (BAM); Exponential stability; High order neural networks; Linear matrix inequality; Lyapunov functional; Time delays

Indexed keywords

ASSOCIATIVE STORAGE; CONVERGENCE OF NUMERICAL METHODS; DELAY CIRCUITS; FAULT TOLERANT COMPUTER SYSTEMS; LYAPUNOV METHODS; MATRIX ALGEBRA;

EID: 10644236158     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2004.09.012     Document Type: Article
Times cited : (213)

References (30)
  • 1
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-state neurons
    • J. Hopfield, Neurons with graded response have collective computational properties like those of two-state neurons, Proc. Natl. Acad. Sci. U.S.A., Biophysics 81 (1984) 3088-3092.
    • (1984) Proc. Natl. Acad. Sci. U.S.A., Biophysics , vol.81 , pp. 3088-3092
    • Hopfield, J.1
  • 2
    • 0024088955 scopus 로고
    • Cellular neural networks: Theory
    • L.O. Chua, L. Yang, Cellular neural networks: theory, IEEE Trans. Circuits Syst. 35 (10) (1988) 1257-1272.
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , Issue.10 , pp. 1257-1272
    • Chua, L.O.1    Yang, L.2
  • 3
    • 0000256610 scopus 로고
    • Stability of analog neural networks with delay
    • C.M. Marcus, R.M. Westervelt, Stability of analog neural networks with delay, Phys. Rev. A 39 (1989) 347-359.
    • (1989) Phys. Rev. A , vol.39 , pp. 347-359
    • Marcus, C.M.1    Westervelt, R.M.2
  • 4
    • 0020970741 scopus 로고
    • Absolute stability and global pattern formation and parallel memory storage by competitive neural networks
    • M. Cohen, S. Grossberg, Absolute stability and global pattern formation and parallel memory storage by competitive neural networks, IEEE Trans. Syst. Man Cybern. 13 (5) (1983) 815-826.
    • (1983) IEEE Trans. Syst. Man Cybern. , vol.13 , Issue.5 , pp. 815-826
    • Cohen, M.1    Grossberg, S.2
  • 5
    • 0032298907 scopus 로고    scopus 로고
    • Global attractivity in delayed Hopfield neural network models
    • P. van den Driessche, X. Zou, Global attractivity in delayed Hopfield neural network models, SIAM J. Appl. Math. 58 (1998) 1878-1890.
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 1878-1890
    • Van Den Driessche, P.1    Zou, X.2
  • 6
    • 0035340244 scopus 로고    scopus 로고
    • Estimation on domain of attraction and convergence rate of Hopfield continuous feedback neural networks
    • J. Cao, Q. Tao, Estimation on domain of attraction and convergence rate of Hopfield continuous feedback neural networks, J. Comput Syst. Sci. 62 (2001) 528-534.
    • (2001) J. Comput Syst. Sci. , vol.62 , pp. 528-534
    • Cao, J.1    Tao, Q.2
  • 7
    • 0035262752 scopus 로고    scopus 로고
    • Global exponential stability of Hopfield neural networks
    • J. Cao, Global exponential stability of Hopfield neural networks, International Journal of Systems Science 32 (2) (2001) 233-236.
    • (2001) International Journal of Systems Science , vol.32 , Issue.2 , pp. 233-236
    • Cao, J.1
  • 8
    • 1642287604 scopus 로고    scopus 로고
    • Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays
    • J. Cao, J. Wang, Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays, Neural Networks 17 (2004) 379-390.
    • (2004) Neural Networks , vol.17 , pp. 379-390
    • Cao, J.1    Wang, J.2
  • 9
    • 1542750058 scopus 로고    scopus 로고
    • Novel stability criteria of delayed cellular neural networks
    • J. Cao, J. Wang, X. Liao, Novel stability criteria of delayed cellular neural networks, Int. J. Neural Syst. 13 (5) (2003) 367-375.
    • (2003) Int. J. Neural Syst. , vol.13 , Issue.5 , pp. 367-375
    • Cao, J.1    Wang, J.2    Liao, X.3
  • 12
    • 0024000737 scopus 로고
    • Neural networks, orientations of the hypercube, and algebraic threshold functions
    • P. Baldi, Neural networks, orientations of the hypercube, and algebraic threshold functions, IEEE Trans. Inform. Theory 34 (1988) 523-530.
    • (1988) IEEE Trans. Inform. Theory , vol.34 , pp. 523-530
    • Baldi, P.1
  • 13
    • 0023438830 scopus 로고
    • High-order neural networks: Information storage without errors
    • L. Personnaz, I. Guyon, G. Dreyfus, High-order neural networks: information storage without errors, Europhys. Lett. 4 (8) (1987) 863-867.
    • (1987) Europhys. Lett. , vol.4 , Issue.8 , pp. 863-867
    • Personnaz, L.1    Guyon, I.2    Dreyfus, G.3
  • 14
    • 0023834038 scopus 로고
    • Higher-order associative memories and their optical implementations
    • D. Psaltis, C.H. Park, J. Hong, Higher-order associative memories and their optical implementations, Neural Networks 1 (2)(1988) 149-163.
    • (1988) Neural Networks , vol.1 , Issue.2 , pp. 149-163
    • Psaltis, D.1    Park, C.H.2    Hong, J.3
  • 15
    • 0025434843 scopus 로고
    • Higher-ordered and intraconnected bidirectional associative memories
    • P.K. Simpson, Higher-ordered and intraconnected bidirectional associative memories, IEEE Trans. Syst. Man Cybern. 20 (1990) 637-653.
    • (1990) IEEE Trans. Syst. Man Cybern. , vol.20 , pp. 637-653
    • Simpson, P.K.1
  • 16
    • 0022633119 scopus 로고
    • Long term memory storage capacity of multiconnected neural networks
    • P. Peretto, J.J. Niez, Long term memory storage capacity of multiconnected neural networks, Biol. Cybern. 54 (1986) 53-63.
    • (1986) Biol. Cybern. , vol.54 , pp. 53-63
    • Peretto, P.1    Niez, J.J.2
  • 17
    • 0032962144 scopus 로고    scopus 로고
    • Neural computation for robust approximate pole assignment
    • D.W.C. Ho, J. Lam, J. Xu, H.K. Tam, Neural computation for robust approximate pole assignment, Neurocomputing 25 (1999) 191-211.
    • (1999) Neurocomputing , vol.25 , pp. 191-211
    • Ho, D.W.C.1    Lam, J.2    Xu, J.3    Tam, H.K.4
  • 21
    • 0038344694 scopus 로고    scopus 로고
    • Global asymptotic stability of high-order Hopfield type neural networks with time delays
    • B. Xu, X. Liu, X. Liao, Global asymptotic stability of high-order Hopfield type neural networks with time delays, Comput. Math. Appl. 45 (2003) 1729-1737.
    • (2003) Comput. Math. Appl. , vol.45 , pp. 1729-1737
    • Xu, B.1    Liu, X.2    Liao, X.3
  • 22
    • 0023861743 scopus 로고
    • Bidirectional associative memories
    • B. Kosko, Bidirectional associative memories, IEEE Trans. Syst. Man Cybern. 18 (1) (1988) 49-60.
    • (1988) IEEE Trans. Syst. Man Cybern. , vol.18 , Issue.1 , pp. 49-60
    • Kosko, B.1
  • 23
    • 0036506075 scopus 로고    scopus 로고
    • Exponential stability and periodic oscillatory solution in BAM networks with delays
    • J. Cao, L. Wang, Exponential stability and periodic oscillatory solution in BAM networks with delays, IEEE Trans. Neural Networks 13 (2) (2002) 457-463.
    • (2002) IEEE Trans. Neural Networks , vol.13 , Issue.2 , pp. 457-463
    • Cao, J.1    Wang, L.2
  • 24
    • 0037609583 scopus 로고    scopus 로고
    • Global asymptotic stability of delayed bi-directional associative memory neural networks
    • J. Cao, Global asymptotic stability of delayed bi-directional associative memory neural networks, Appl. Math. Comput. 142 (2003) 333-339.
    • (2003) Appl. Math. Comput. , vol.142 , pp. 333-339
    • Cao, J.1
  • 25
    • 0037440581 scopus 로고    scopus 로고
    • Exponential stability of delayed bidirectional associative memory networks
    • J. Cao, M. Dong, Exponential stability of delayed bidirectional associative memory networks, Appl. Math. Comput. 135 (2003) 105-112.
    • (2003) Appl. Math. Comput. , vol.135 , pp. 105-112
    • Cao, J.1    Dong, M.2
  • 26
    • 0032069555 scopus 로고    scopus 로고
    • Qualitative analysis of bi-directional associative memory with time delays
    • X.F. Liao, J.B. Yu, Qualitative analysis of bi-directional associative memory with time delays, Int. J. Circuit Theory Appl. 26 (3) (1998) 219-229.
    • (1998) Int. J. Circuit Theory Appl. , vol.26 , Issue.3 , pp. 219-229
    • Liao, X.F.1    Yu, J.B.2
  • 27
    • 0035890410 scopus 로고    scopus 로고
    • Global exponential stability in continuous-time and discrete-time delay bidirectional neural networks
    • S. Mohamad, Global exponential stability in continuous-time and discrete-time delay bidirectional neural networks, Physica D 159 (2001) 233-251.
    • (2001) Physica D , vol.159 , pp. 233-251
    • Mohamad, S.1
  • 28
    • 1542680900 scopus 로고    scopus 로고
    • Exponential stability of BAM neural networks with transmission delays
    • A. Chen, J. Cao, L. Huang, Exponential stability of BAM neural networks with transmission delays, Neurocomputing 57 (2004) 435-454.
    • (2004) Neurocomputing , vol.57 , pp. 435-454
    • Chen, A.1    Cao, J.2    Huang, L.3
  • 29
    • 0022721216 scopus 로고
    • Simple neural optimization networks: An A/D converter, signal decision circuit and a linear programming circuit
    • D. Tank, J. Hopfield, Simple neural optimization networks: an A/D converter, signal decision circuit and a linear programming circuit, IEEE Trans. Circuits Syst. 33 (1986) 533-541.
    • (1986) IEEE Trans. Circuits Syst. , vol.33 , pp. 533-541
    • Tank, D.1    Hopfield, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.