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Volumn 64, Issue 1-4 SPEC. ISS., 2005, Pages 319-333

New algebraic conditions for global exponential stability of delayed recurrent neural networks

Author keywords

Bi directional associative memory neural networks; Delayed recurrent neural networks; Global exponential stability; Lyapunov functional

Indexed keywords

ASYMPTOTIC STABILITY; FUNCTIONS; LINEAR ALGEBRA; LYAPUNOV METHODS; MATHEMATICAL MODELS;

EID: 15844378218     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2004.10.104     Document Type: Article
Times cited : (29)

References (30)
  • 2
    • 0033730279 scopus 로고    scopus 로고
    • On the global asymptotic stability of delayed cellular neural networks
    • S. Arik V. Tavsanoglu On the global asymptotic stability of delayed cellular neural networks IEEE Trans. Circuits Syst. I 47 2000 571-574
    • (2000) IEEE Trans. Circuits Syst. I , vol.47 , pp. 571-574
    • Arik, S.1    Tavsanoglu, V.2
  • 3
    • 0034921617 scopus 로고    scopus 로고
    • MI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov-Krasoskii functional
    • P.-A. Bliman MI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov-Krasoskii functional Systems Control Lett. 43 2001 263-274
    • (2001) Systems Control Lett. , vol.43 , pp. 263-274
    • Bliman, P.-A.1
  • 4
    • 0033200563 scopus 로고    scopus 로고
    • Periodic solutions and exponential stability in delayed cellular neural networks
    • J. Cao 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
    • 0032589602 scopus 로고    scopus 로고
    • Global stability analysis in delayed cellular neural networks
    • J. Cao Global stability analysis in delayed cellular neural networks Phys. Rev. E 59 5 1999 5940-5944
    • (1999) Phys. Rev. E , vol.59 , Issue.5 , pp. 5940-5944
    • Cao, J.1
  • 7
    • 0034140541 scopus 로고    scopus 로고
    • Global exponential stability and periodic solutions of delayed cellular neural networks
    • J. Cao Global exponential stability and periodic solutions of delayed cellular neural networks J. Comput. Syst. Sci. 60 2000 38
    • (2000) J. Comput. Syst. Sci. , vol.60 , pp. 38
    • Cao, J.1
  • 8
    • 0034719627 scopus 로고    scopus 로고
    • On exponential stability and periodic solutions of CNNs with delays
    • J. Cao On exponential stability and periodic solutions of CNNs with delays Phys. Lett. A 267 2000 312
    • (2000) Phys. Lett. A , vol.267 , pp. 312
    • Cao, J.1
  • 9
    • 0034729056 scopus 로고    scopus 로고
    • Periodic oscillation and exponential stability of delayed CNNs
    • J. Cao Periodic oscillation and exponential stability of delayed CNNs Phys. Lett. A 270 2000 157
    • (2000) Phys. Lett. A , vol.270 , pp. 157
    • Cao, J.1
  • 10
    • 0034369985 scopus 로고    scopus 로고
    • On the exponential stability and periodic solutions of delayed cellular neural networks
    • J. Cao Q. Li On the exponential stability and periodic solutions of delayed cellular neural networks J. Math. Anal. Appl. 252 2000 50
    • (2000) J. Math. Anal. Appl. , vol.252 , pp. 50
    • Cao, J.1    Li, Q.2
  • 11
    • 0037467691 scopus 로고    scopus 로고
    • New results concerning exponential stability and periodic solutions of delayed cellular neural networks
    • J. Cao New results concerning exponential stability and periodic solutions of delayed cellular neural networks Phys. Lett. A 307 2003 136-147
    • (2003) Phys. Lett. A , vol.307 , pp. 136-147
    • Cao, J.1
  • 12
    • 0002815758 scopus 로고    scopus 로고
    • Stability in cellular neural networks with delays
    • Elsevier Science, Amsterdam
    • J. Cao, Stability in cellular neural networks with delays, Proceedings of 14th IFAC'99 World Congree, vol. E, Elsevier Science, Amsterdam, 1999, pp. 71-74.
    • (1999) Proceedings of 14th IFAC'99 World Congree , vol.E , pp. 71-74
    • Cao, J.1
  • 13
    • 2442484035 scopus 로고    scopus 로고
    • Globally exponentially robust stability and periodicity of delayed neural networks
    • J. Cao T. Chen Globally exponentially robust stability and periodicity of delayed neural networks Chaos, Solitons Fractals 22 4 2004 957-963
    • (2004) Chaos, Solitons Fractals , vol.22 , Issue.4 , pp. 957-963
    • Cao, J.1    Chen, T.2
  • 14
    • 0037440581 scopus 로고    scopus 로고
    • Exponential stability of delayed bi-directional associative memory networks
    • J. Cao M. Dong Exponential stability of delayed bi-directional 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
  • 15
    • 3442880393 scopus 로고    scopus 로고
    • Boundedness and stability for Cohen-Grossberg neural networks with time-varying delays
    • J. Cao J. Liang Boundedness and stability for Cohen-Grossberg neural networks with time-varying delays J. Math. Anal. Appl. 296 2 2004 665-685
    • (2004) J. Math. Anal. Appl. , vol.296 , Issue.2 , pp. 665-685
    • Cao, J.1    Liang, J.2
  • 16
    • 0032418487 scopus 로고    scopus 로고
    • Stability analysis of delayed cellular neural networks
    • J. Cao D. Zhou 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
  • 17
    • 0037158385 scopus 로고    scopus 로고
    • Global exponential stability and existence of periodic solutions of CNNs with delays
    • M. Dong Global exponential stability and existence of periodic solutions of CNNs with delays Phys. Lett. A 300 2002 49-57
    • (2002) Phys. Lett. A , vol.300 , pp. 49-57
    • Dong, M.1
  • 18
    • 0034801030 scopus 로고    scopus 로고
    • On the stability of delayed neural networks systems
    • C. Feng R. Plamondon On the stability of delayed neural networks systems Neural Networks 14 2001 1181-1188
    • (2001) Neural Networks , vol.14 , pp. 1181-1188
    • Feng, C.1    Plamondon, R.2
  • 19
    • 0035272372 scopus 로고    scopus 로고
    • Nonlinear measures: A new approach to exponential stability analysis for Hopfield-type neural networks
    • Q. Hong J. Peng Z.B. Xu Nonlinear measures: A new approach to exponential stability analysis for Hopfield-type neural networks IEEE Trans. Neural Networks 12 2001 360-370
    • (2001) IEEE Trans. Neural Networks , vol.12 , pp. 360-370
    • Hong, Q.1    Peng, J.2    Xu, Z.B.3
  • 20
    • 0036755232 scopus 로고    scopus 로고
    • Delay-dependent exponential stability analysis of delayed neural networks: An LMI approach
    • X.F. Liao G. Chen Delay-dependent exponential stability analysis of delayed neural networks: An LMI approach Neural Networks 15 2002 855-866
    • (2002) Neural Networks , vol.15 , pp. 855-866
    • Liao, X.F.1    Chen, G.2
  • 21
    • 0036647562 scopus 로고    scopus 로고
    • LMI-based approach for asymptotical stability analysis of delayed neural networks
    • X.F. Liao G. Chen E.N. Sanchez LMI-based approach for asymptotical stability analysis of delayed neural networks IEEE TCAS-I 49 2002 1033-1039
    • (2002) IEEE TCAS-I , vol.49 , pp. 1033-1039
    • Liao, X.F.1    Chen, G.2    Sanchez, E.N.3
  • 22
    • 0032069555 scopus 로고    scopus 로고
    • Qualitative analysis of bi-directional associative memory networks with time delays
    • X.F. Liao J.B. Yu Qualitative analysis of bi-directional associative memory networks with time delays Internat. J. Circuit Theory Appl. 26 1998 219-229
    • (1998) Internat. J. Circuit Theory Appl. , vol.26 , pp. 219-229
    • Liao, X.F.1    Yu, J.B.2
  • 23
    • 0036748296 scopus 로고    scopus 로고
    • Novel stability criteria for bi-directional associative memory neural networks with time delays
    • X.F. Liao J.B. Yu G. Chen Novel stability criteria for bi-directional associative memory neural networks with time delays Int. J. Circuit Theory Appl. 30 2002 519-546
    • (2002) Int. J. Circuit Theory Appl. , vol.30 , pp. 519-546
    • Liao, X.F.1    Yu, J.B.2    Chen, G.3
  • 24
    • 0141834101 scopus 로고    scopus 로고
    • Global exponential stability of hybrid bi-directional associative memory neural networks with discrete delays
    • X.F. Liao K.W. Wong Global exponential stability of hybrid bi-directional associative memory neural networks with discrete delays Phys. Rev. E 67 2003 042901
    • (2003) Phys. Rev. E , vol.67 , pp. 042901
    • Liao, X.F.1    Wong, K.W.2
  • 25
    • 0035639130 scopus 로고    scopus 로고
    • Novel stability conditions for cellular neural networks with time delay
    • X.F. Liao K.W. Wong J.B. Yu Novel stability conditions for cellular neural networks with time delay Int. J. Bifur. Chaos 11 2001 1853-1864
    • (2001) Int. J. Bifur. Chaos , vol.11 , pp. 1853-1864
    • Liao, X.F.1    Wong, K.W.2    Yu, J.B.3
  • 26
    • 0036608391 scopus 로고    scopus 로고
    • Stability analysis for cellular neural networks with continuous delay
    • X.F. Liao Z.F. Wu J.B. Yu Stability analysis for cellular neural networks with continuous delay J. Comput. Appl. Math. 143 2002 29-47
    • (2002) J. Comput. Appl. Math. , vol.143 , pp. 29-47
    • Liao, X.F.1    Wu, Z.F.2    Yu, J.B.3
  • 28
    • 0037440578 scopus 로고    scopus 로고
    • Exponential stability of continuous-time and discrete-time cellular neural networks with delays
    • S. Mohamad K. Gopasamy Exponential stability of continuous-time and discrete-time cellular neural networks with delays Appl. Math. Comput. 135 2003 17-38
    • (2003) Appl. Math. Comput. , vol.135 , pp. 17-38
    • Mohamad, S.1    Gopasamy, K.2
  • 29
    • 0027582973 scopus 로고
    • Stability of cellular neural networks with dominant nonlinear and delay-type template
    • T. Roska C.W. Wu L.O. Chua Stability of cellular neural networks with dominant nonlinear and delay-type template IEEE TCAS-I 40 4 1993 270-272
    • (1993) IEEE TCAS-I , vol.40 , Issue.4 , pp. 270-272
    • Roska, T.1    Wu, C.W.2    Chua, L.O.3
  • 30
    • 0038631954 scopus 로고    scopus 로고
    • On the global stability of delayed neural networks
    • Q. Zhang R. Ma et al., On the global stability of delayed neural networks IEEE TAC 48 2003 794-797
    • (2003) IEEE TAC , vol.48 , pp. 794-797
    • Zhang, Q.1    Ma, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.