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Volumn 135, Issue 1, 2003, Pages 17-38

Exponential stability of continuous-time and discrete-time cellular neural networks with delays

Author keywords

Continuous time cellular neural networks; Discrete delays; Discrete time analogues; Global exponential stability; Halanay type inequalities; Lyapunov functionals

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DELAY CONTROL SYSTEMS; LYAPUNOV METHODS; MATHEMATICAL MODELS;

EID: 0037440578     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(01)00299-5     Document Type: Article
Times cited : (344)

References (29)
  • 3
    • 0032589602 scopus 로고    scopus 로고
    • Global stability analysis in delayed cellular neural networks
    • Cao J. Global stability analysis in delayed cellular neural networks. Phys. Rev. E. 59:1999;5940-5944.
    • (1999) Phys. Rev. E , vol.59 , pp. 5940-5944
    • Cao, J.1
  • 4
    • 0033200563 scopus 로고    scopus 로고
    • Periodic solutions and exponential stability in delayed cellular neural networks
    • Cao J. Periodic solutions and exponential stability in delayed cellular neural networks. Phys. Rev. E. 60:1999;3244-3248.
    • (1999) Phys. Rev. E , vol.60 , pp. 3244-3248
    • Cao, J.1
  • 5
    • 0032418487 scopus 로고    scopus 로고
    • Stability analysis of delayed cellular neural networks
    • Cao J., Zhou D. Stability analysis of delayed cellular neural networks. Neural Networks. 11:1998;1601-1605.
    • (1998) Neural Networks , vol.11 , pp. 1601-1605
    • Cao, J.1    Zhou, D.2
  • 7
    • 0024092072 scopus 로고
    • Cellular neural networks: Applications
    • Chua L.O., Yang L. Cellular neural networks: Applications. IEEE Trans. Circuits Syst. 35:1988;1273-1290.
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , pp. 1273-1290
    • Chua, L.O.1    Yang, L.2
  • 8
    • 0025632457 scopus 로고
    • Stability of a class of nonreciprocal cellular neural networks
    • Chua L.O., Roska T. Stability of a class of nonreciprocal cellular neural networks. IEEE Trans. Circuits Syst. 37:1990;1520-1527.
    • (1990) IEEE Trans. Circuits Syst. , vol.37 , pp. 1520-1527
    • Chua, L.O.1    Roska, T.2
  • 9
    • 0027569219 scopus 로고
    • On stability of cellular neural networks with delay
    • Civalleri P.P., Gilli M. On stability of cellular neural networks with delay. IEEE Trans. Circuits Syst. 40:1993;157-165.
    • (1993) IEEE Trans. Circuits Syst. , vol.40 , pp. 157-165
    • Civalleri, P.P.1    Gilli, M.2
  • 11
    • 0028484639 scopus 로고
    • Stability of cellular neural networks and delayed cellular neural networks with nonpositive templates and nonmonotonic output functions
    • Gilli M. Stability of cellular neural networks and delayed cellular neural networks with nonpositive templates and nonmonotonic output functions. IEEE Trans. Circuits Syst. 41:1994;518-528.
    • (1994) IEEE Trans. Circuits Syst. , vol.41 , pp. 518-528
    • Gilli, M.1
  • 13
    • 0027259801 scopus 로고
    • Stability analysis of generalised cellular neural networks
    • Guzelis C., Chua L.O. Stability analysis of generalised cellular neural networks. Int. J. Circuit Theor. Appl. 21:1993;1-33.
    • (1993) Int. J. Circuit Theor. Appl. , vol.21 , pp. 1-33
    • Guzelis, C.1    Chua, L.O.2
  • 15
    • 0002959217 scopus 로고
    • Stability and dynamics of numerical methods for nonlinear ordinary differential equations
    • Iserles A. Stability and dynamics of numerical methods for nonlinear ordinary differential equations. IMA J. Numer. Anal. 10:1990;1-30.
    • (1990) IMA J. Numer. Anal. , vol.10 , pp. 1-30
    • Iserles, A.1
  • 17
    • 0001146478 scopus 로고
    • Cellular neural networks for associative memories
    • Liu D., Michel A.N. Cellular neural networks for associative memories. IEEE Trans. Circuits Syst. 40:1993;119-121.
    • (1993) IEEE Trans. Circuits Syst. , vol.40 , pp. 119-121
    • Liu, D.1    Michel, A.N.2
  • 20
    • 0034195665 scopus 로고    scopus 로고
    • Continuous and discrete Halanay-type inequalities
    • Mohamad S., Gopalsamy K. Continuous and discrete Halanay-type inequalities. Bull. Aust. Math. Soc. 61:2000;371-385.
    • (2000) Bull. Aust. Math. Soc. , vol.61 , pp. 371-385
    • Mohamad, S.1    Gopalsamy, K.2
  • 21
    • 0022011947 scopus 로고
    • Turbulence in multistep methods for initial value problems
    • Prufer M. Turbulence in multistep methods for initial value problems. SIAM J. Appl. Math. 45:1985;32-69.
    • (1985) SIAM J. Appl. Math. , vol.45 , pp. 32-69
    • Prufer, M.1
  • 22
    • 0026913847 scopus 로고
    • Cellular neural networks with nonlinear and delay-type template
    • Roska T., Chua L.O. Cellular neural networks with nonlinear and delay-type template. Int. J. Circuit Theor. Appl. 20:1992;469-481.
    • (1992) Int. J. Circuit Theor. Appl. , vol.20 , pp. 469-481
    • Roska, T.1    Chua, L.O.2
  • 23
    • 0001947933 scopus 로고
    • Warning-handle with care
    • Stewart I. Warning-handle with care. Nature. 355:1992;16-17.
    • (1992) Nature , vol.355 , pp. 16-17
    • Stewart, I.1
  • 25
    • 0031268661 scopus 로고    scopus 로고
    • A new sufficient condition for nonsymmetric CNN's to have a stable equilibrium point
    • Takahashi N., Chua L.O. A new sufficient condition for nonsymmetric CNN's to have a stable equilibrium point. IEEE Trans. Circuits Syst. 44:1997;1092-1095.
    • (1997) IEEE Trans. Circuits Syst. , vol.44 , pp. 1092-1095
    • Takahashi, N.1    Chua, L.O.2
  • 26
    • 0032118810 scopus 로고    scopus 로고
    • On the complete stability of nonsymmetric cellular neural networks
    • Takahashi N., Chua L.O. On the complete stability of nonsymmetric cellular neural networks. IEEE Trans. Circuits Syst. 45:1998;754-758.
    • (1998) IEEE Trans. Circuits Syst. , vol.45 , pp. 754-758
    • Takahashi, N.1    Chua, L.O.2
  • 27
    • 0000644645 scopus 로고
    • Central difference scheme and chaos
    • Ushiki S. Central difference scheme and chaos. Phys. D. 4:1982;407-424.
    • (1982) Phys. D , vol.4 , pp. 407-424
    • Ushiki, S.1
  • 28
    • 0010528967 scopus 로고
    • A study of spurious asymptotic numerical solutions of nonlinear differential equations by the nonlinear dynamics approach
    • Twelfth International Conference on Numerical Methods in Fluid Dynamics, Oxford, 1990, Springer, Berlin
    • Yee H.C., Sweby P.K., Griffiths D.F. A study of spurious asymptotic numerical solutions of nonlinear differential equations by the nonlinear dynamics approach. in: Twelfth International Conference on Numerical Methods in Fluid Dynamics, Oxford, 1990. Lecture Notes in Physics. vol. 371:1992;259-267 Springer, Berlin.
    • (1992) Lecture Notes in Physics , vol.371 , pp. 259-267
    • Yee, H.C.1    Sweby, P.K.2    Griffiths, D.F.3
  • 29
    • 3042829361 scopus 로고
    • Dynamical approach study of spurious steady-state numerical solutions of nonlinear differential equations. I. The dynamics of time discretization and its implications for algorithm development in computational fluid dynamics
    • Yee H.C., Sweby P.K., Griffiths D.F. Dynamical approach study of spurious steady-state numerical solutions of nonlinear differential equations. I. The dynamics of time discretization and its implications for algorithm development in computational fluid dynamics. J. Comput. Phys. 97:1991;249-310.
    • (1991) J. Comput. Phys. , vol.97 , pp. 249-310
    • Yee, H.C.1    Sweby, P.K.2    Griffiths, D.F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.