메뉴 건너뛰기




Volumn 235, Issue 9, 2011, Pages 3086-3095

Stability analysis on delayed neural networks based on an improved delay-partitioning approach

Author keywords

Asymptotical stability; Delay partitioning idea; Delayed neural networks (DNNs); LMI approach

Indexed keywords

ASYMPTOTICAL STABILITY; CONVEX COMBINATION METHOD; DELAY-PARTITIONING IDEA; DELAYED NEURAL NETWORKS; DELAYED NEURAL NETWORKS (DNNS); LMI APPROACH; LYAPUNOV-KRASOVSKII FUNCTIONALS; MATLAB LMI TOOLBOX; NUMERICAL EXAMPLE; STABILITY ANALYSIS; UPPER AND LOWER BOUNDS;

EID: 79951511542     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2010.10.002     Document Type: Article
Times cited : (36)

References (28)
  • 1
    • 33846058657 scopus 로고    scopus 로고
    • LMI-based criteria for global robust stability of bidirectional associative memory networks with time delay
    • DOI 10.1016/j.na.2006.02.009, PII S0362546X06000861
    • J.D. Cao, Daniel W.C. Ho, and X. Huang LMI-based criteria for global robust stability of bidirectional associative me (Pubitemid 46072685)
    • (2007) Nonlinear Analysis, Theory, Methods and Applications , vol.66 , Issue.7 , pp. 1558-1572
    • Cao, J.1    Ho, D.W.C.2    Huang, X.3
  • 2
    • 58349095543 scopus 로고    scopus 로고
    • Stability analysis of uncertain fuzzy Hopfield neural networks with time delays
    • M. Syed Ali, and P. Balasubramaniam Stability analysis of uncertain fuzzy Hopfield neural networks with time delays Commun. Nonlinear Sci. Numer. Simul. 14 6 2009 2776 2783
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , Issue.6 , pp. 2776-2783
    • Syed Ali, M.1    Balasubramaniam, P.2
  • 3
    • 63349092338 scopus 로고    scopus 로고
    • Novel delay-dependent asymptotic stability criteria for neural networks with time-varying delays
    • J.K. Tian, D.S. Xu, and J. Zu Novel delay-dependent asymptotic stability criteria for neural networks with time-varying delays J. Comput. Appl. Math. 228 1 2009 133 138
    • (2009) J. Comput. Appl. Math. , vol.228 , Issue.1 , pp. 133-138
    • Tian, J.K.1    Xu, D.S.2    Zu, J.3
  • 4
    • 69249202249 scopus 로고    scopus 로고
    • Convergence for a class of delayed recurrent neural networks without M-matrix condition
    • B.W. Liu, S.H. Gong, X.J. Yi, and L.H. Huang Convergence for a class of delayed recurrent neural networks without M-matrix condition J. Comput. Appl. Math. 233 2 2009 137 141
    • (2009) J. Comput. Appl. Math. , vol.233 , Issue.2 , pp. 137-141
    • Liu, B.W.1    Gong, S.H.2    Yi, X.J.3    Huang, L.H.4
  • 5
    • 63449105342 scopus 로고    scopus 로고
    • Novel results for global robust stability of delayed neural networks
    • Eylem Yucel, and Sabri Arik Novel results for global robust stability of delayed neural networks Chaos Solitons Fractals 39 4 2009 1604 1614
    • (2009) Chaos Solitons Fractals , vol.39 , Issue.4 , pp. 1604-1614
    • Yucel, E.1    Arik, S.2
  • 6
    • 38149066040 scopus 로고    scopus 로고
    • Stability analysis for neural networks with time-varying interval delay
    • Y. He, G.P. Liu, D. Rees, and M. Wu Stability analysis for neural networks with time-varying interval delay IEEE Trans. Neural Netw. 18 6 2007 1850 1854
    • (2007) IEEE Trans. Neural Netw. , vol.18 , Issue.6 , pp. 1850-1854
    • He, Y.1    Liu, G.P.2    Rees, D.3    Wu, M.4
  • 7
    • 64049112436 scopus 로고    scopus 로고
    • A new sufficient condition for global robust stability of bidirectional associative memory neural networks with multiple time delays
    • Neyir Ozcan, and Sabri Arik A new sufficient condition for global robust stability of bidirectional associative memory neural networks with multiple time delays Nonlinear Anal. RWA 10 5 2009 3312 3320
    • (2009) Nonlinear Anal. RWA , vol.10 , Issue.5 , pp. 3312-3320
    • Ozcan, N.1    Arik, S.2
  • 8
    • 63449122906 scopus 로고    scopus 로고
    • Global asymptotic stability and robust stability of a class of CohenGrossberg neural networks with mixed delays
    • Z.S. Wang, D.R. Liu, and H.G. Zhang Global asymptotic stability and robust stability of a class of CohenGrossberg neural networks with mixed delays IEEE Trans. Circuits Syst. I 56 3 2009 616 629
    • (2009) IEEE Trans. Circuits Syst. i , vol.56 , Issue.3 , pp. 616-629
    • Wang, Z.S.1    Liu, D.R.2    Zhang, H.G.3
  • 9
    • 65449134039 scopus 로고    scopus 로고
    • LMI conditions for stability of stochastic recurrent neural networks with distributed delays
    • R. Rakkiyappan, and P. Balasubramaniam LMI conditions for stability of stochastic recurrent neural networks with distributed delays Chaos Solitons Fractals 40 4 2009 1688 1696
    • (2009) Chaos Solitons Fractals , vol.40 , Issue.4 , pp. 1688-1696
    • Rakkiyappan, R.1    Balasubramaniam, P.2
  • 10
    • 57749083143 scopus 로고    scopus 로고
    • Improved delay-dependent asymptotical stability criteria for delayed neural networks
    • W.H. Chen, and W.X. Zheng Improved delay-dependent asymptotical stability criteria for delayed neural networks IEEE Trans. Neural Netw. II 19 2 2008 2154 2161
    • (2008) IEEE Trans. Neural Netw. II , vol.19 , Issue.2 , pp. 2154-2161
    • Chen, W.H.1    Zheng, W.X.2
  • 11
    • 40949160176 scopus 로고    scopus 로고
    • A new criterion of delay-dependent asymptotic stability for Hopfield neural networks with time delay
    • DOI 10.1109/TNN.2007.912593
    • S.S. Mou, H.J. Gao, and James Lam A new criterion of delay-dependent asymptotic stability for Hopfield neural networks with time delay IEEE Trans. Neural Netw. 19 3 2008 532 535 (Pubitemid 351411577)
    • (2008) IEEE Transactions on Neural Networks , vol.19 , Issue.3 , pp. 532-535
    • Mou, S.1    Gao, H.2    Lam, J.3    Qiang, W.4
  • 12
    • 64049116250 scopus 로고    scopus 로고
    • Novel robust stability criteria for stochastic Hopfield neural networks with time delays
    • R.N. Yang, H.J. Gao, and P. Shi Novel robust stability criteria for stochastic Hopfield neural networks with time delays IEEE Trans. Man, Syst. Cybern. Part B 39 2 2009 467 474
    • (2009) IEEE Trans. Man, Syst. Cybern. Part B , vol.39 , Issue.2 , pp. 467-474
    • Yang, R.N.1    Gao, H.J.2    Shi, P.3
  • 13
    • 63049089465 scopus 로고    scopus 로고
    • New LyapunovKrasovskii functionals for global asymptotic stability of delayed neural networks
    • X.M. Zhang, and Q.L. Han New LyapunovKrasovskii functionals for global asymptotic stability of delayed neural networks IEEE Trans. Neural Netw. 20 3 2009 533 539
    • (2009) IEEE Trans. Neural Netw. , vol.20 , Issue.3 , pp. 533-539
    • Zhang, X.M.1    Han, Q.L.2
  • 14
    • 56949107715 scopus 로고    scopus 로고
    • Novel stability of cellular neural networks with interval time-varying delay
    • L. Hu, H.J. Gao, and W.X. Zheng Novel stability of cellular neural networks with interval time-varying delay Neural Netw. 21 10 2008 1458 1463 2008
    • (2008) Neural Netw. , vol.21 , Issue.10 , pp. 1458-1463
    • Hu, L.1    Gao, H.J.2    Zheng, W.X.3
  • 15
    • 70049115700 scopus 로고    scopus 로고
    • New stability criteria for CohenGrossberg neural networks with time delays
    • L. Hu, H.J. Gao, and P. Shi New stability criteria for CohenGrossberg neural networks with time delays IET Contr. Theory Appl. 3 9 2009 1275 1282
    • (2009) IET Contr. Theory Appl. , vol.3 , Issue.9 , pp. 1275-1282
    • Hu, L.1    Gao, H.J.2    Shi, P.3
  • 16
    • 73949111531 scopus 로고    scopus 로고
    • Exponential stability on stochastic neural networks with discrete interval and distributed delays
    • R.N. Yang, Z.X. Zhang, and P. Shi Exponential stability on stochastic neural networks with discrete interval and distributed delays IEEE Trans. Neural Netw. 21 1 2010 169 175
    • (2010) IEEE Trans. Neural Netw. , vol.21 , Issue.1 , pp. 169-175
    • Yang, R.N.1    Zhang, Z.X.2    Shi, P.3
  • 17
    • 68349154503 scopus 로고    scopus 로고
    • Synchronization stability of general complex dynamical networks with time-varying delays: A piecewise analysis method
    • H.J. Li, and D. Yue Synchronization stability of general complex dynamical networks with time-varying delays: a piecewise analysis method J. Comput. Appl. Math. 232 2 2009 149 158
    • (2009) J. Comput. Appl. Math. , vol.232 , Issue.2 , pp. 149-158
    • Li, H.J.1    Yue, D.2
  • 18
    • 61749089727 scopus 로고    scopus 로고
    • Stability analysis on CohenGrossberg neural networks with both time-varying and continuously distributed delays
    • T. Li, S.M. Fei, and Y.Q. Guo Stability analysis on CohenGrossberg neural networks with both time-varying and continuously distributed delays Nonlinear Anal. RWA 10 4 2009 2600 2612
    • (2009) Nonlinear Anal. RWA , vol.10 , Issue.4 , pp. 2600-2612
    • Li, T.1    Fei, S.M.2    Guo, Y.Q.3
  • 19
    • 58549084830 scopus 로고    scopus 로고
    • New stability criteria of neural networks with interval time-varying delay: A piecewise delay method
    • Y.J. Zhang, D. Yue, and E.G. Tian New stability criteria of neural networks with interval time-varying delay: a piecewise delay method Appl. Math. Comput. 208 1 2009 249 259
    • (2009) Appl. Math. Comput. , vol.208 , Issue.1 , pp. 249-259
    • Zhang, Y.J.1    Yue, D.2    Tian, E.G.3
  • 20
    • 0035838737 scopus 로고    scopus 로고
    • A further refinement of discretized Lyapunov functional method for the stability of time-delay systems
    • K.Q. Gu A further refinement of discretized Lyapunov functional method for the stability of time-delay systems Int. J. Control 74 10 2001 967 976
    • (2001) Int. J. Control , vol.74 , Issue.10 , pp. 967-976
    • Gu, K.Q.1
  • 21
    • 0141637436 scopus 로고    scopus 로고
    • Refined discretized Lyapunov functional method for systems with multiple delays
    • K.Q. Gu Refined discretized Lyapunov functional method for systems with multiple delays Int. J. Robust Nonl. Contr. 13 11 2003 1017 1033
    • (2003) Int. J. Robust Nonl. Contr. , vol.13 , Issue.11 , pp. 1017-1033
    • Gu, K.Q.1
  • 22
    • 18444418865 scopus 로고    scopus 로고
    • On stability of linear neutral systems with mixed time delays: A discretized Lyapunov functional approach
    • Q.L. Han On stability of linear neutral systems with mixed time delays: a discretized Lyapunov functional approach Automatica 41 7 2005 1209 1218
    • (2005) Automatica , vol.41 , Issue.7 , pp. 1209-1218
    • Han, Q.L.1
  • 23
    • 37549062178 scopus 로고    scopus 로고
    • A new delay-dependent absolute stability criterion for a class of nonlinear neutral systems
    • Q.L. Han A new delay-dependent absolute stability criterion for a class of nonlinear neutral systems Automatica 44 1 2008 272 277
    • (2008) Automatica , vol.44 , Issue.1 , pp. 272-277
    • Han, Q.L.1
  • 24
    • 67649597975 scopus 로고    scopus 로고
    • Improved stability criteria and controller design for linear neutral systems
    • Q.L. Han Improved stability criteria and controller design for linear neutral systems Automatica 45 8 2009 1948 1952
    • (2009) Automatica , vol.45 , Issue.8 , pp. 1948-1952
    • Han, Q.L.1
  • 25
    • 69049102307 scopus 로고    scopus 로고
    • A piecewise analysis method to stability analysis of linear continuous/discrete systems with time-varying delay
    • D. Yue, E.G. Tian, and Y.J. Zhang A piecewise analysis method to stability analysis of linear continuous/discrete systems with time-varying delay Int. J. Robust Nonl. Contr. 19 13 2008 1493 1518
    • (2008) Int. J. Robust Nonl. Contr. , vol.19 , Issue.13 , pp. 1493-1518
    • Yue, D.1    Tian, E.G.2    Zhang, Y.J.3
  • 26
    • 73649114581 scopus 로고    scopus 로고
    • A delay decomposition approach to delay-dependent stability for linear systems with time-varying delays
    • X.M. Zhang, and Q.L. Han A delay decomposition approach to delay-dependent stability for linear systems with time-varying delays Int. J. Robust Nonl. Contr. 19 17 2009 1922 1930
    • (2009) Int. J. Robust Nonl. Contr. , vol.19 , Issue.17 , pp. 1922-1930
    • Zhang, X.M.1    Han, Q.L.2
  • 27
    • 70349850642 scopus 로고    scopus 로고
    • New conditions for delay-derivative-dependent stability
    • Emilia Fridman, Uri Shaked, and K. Liu New conditions for delay-derivative-dependent stability Automatica 45 11 2009 2723 2727
    • (2009) Automatica , vol.45 , Issue.11 , pp. 2723-2727
    • Fridman, E.1    Shaked, U.2    Liu, K.3
  • 28
    • 64049098860 scopus 로고    scopus 로고
    • Delay-distribution-dependent stability and stabilization of TS fuzzy systems with probabilistic interval delay
    • D. Yue, E.G. Tian, and Y.J. Zhang Delay-distribution-dependent stability and stabilization of TS fuzzy systems with probabilistic interval delay IEEE Trans. Syst., Man Cybern. Part B 39 2 2009 503 516
    • (2009) IEEE Trans. Syst., Man Cybern. Part B , vol.39 , Issue.2 , pp. 503-516
    • Yue, D.1    Tian, E.G.2    Zhang, Y.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.