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Volumn 9, Issue 8, 2013, Pages 3341-3355

Delay-dependent robust stability analysis for recurrent neural networks with time-varying delay

Author keywords

Integral inequality approach (IIA); Linear matrix inequality (LMI); Recurrent neural networks (RNNs); Time varying delay systems

Indexed keywords

DELAY DEPENDENT STABILITY CRITERION; DELAY-DEPENDENT ROBUST STABILITY; GLOBAL ASYMPTOTIC STABILITY; INTEGRAL INEQUALITIES; LINEAR MATRIX INEQUALITY (LMIS); LYAPUNOV-KRASOVSKII FUNCTIONALS; RECURRENT NEURAL NETWORK (RNNS); TIME VARYING DELAY SYSTEMS;

EID: 84880118550     PISSN: 13494198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (37)

References (50)
  • 1
    • 4143115663 scopus 로고    scopus 로고
    • An analysis of exponential stability of delayed neural networks with time varying delays
    • S. Arik, An analysis of exponential stability of delayed neural networks with time varying delays, Neural Networks, vol.17, pp.1027-1031, 2004.
    • (2004) Neural Networks , vol.17 , pp. 1027-1031
    • Arik, S.1
  • 3
    • 3142672983 scopus 로고    scopus 로고
    • Global robust stability of delayed recurrent neural networks
    • J. Cao, D. Huang and Y. Qu, Global robust stability of delayed recurrent neural networks, Chaos Solitons Fractals, vol.23, no.1, pp.221-229, 2005.
    • (2005) Chaos Solitons Fractals , vol.23 , Issue.1 , pp. 221-229
    • Cao, J.1    Huang, D.2    Qu, Y.3
  • 4
    • 13444256385 scopus 로고    scopus 로고
    • A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach
    • J. Cao and D. W. C. Ho, A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach, Chaos, Solitons and Fractals, vol.24, pp.1317-1329, 2005.
    • (2005) Chaos, Solitons and Fractals , vol.24 , pp. 1317-1329
    • Cao, J.1    Ho, D.W.C.2
  • 5
    • 14644434391 scopus 로고    scopus 로고
    • Global asymptotic and robust stability of recurrent neural networks with time delays
    • J. Cao and J. Wang, Global asymptotic and robust stability of recurrent neural networks with time delays, IEEE Transactions on Circuits and Systems I-Regular Papers, vol.52, no.2, pp.417-426, 2005.
    • (2005) IEEE Transactions On Circuits and Systems I-Regular Papers , vol.52 , Issue.2 , pp. 417-426
    • Cao, J.1    Wang, J.2
  • 6
    • 33845224523 scopus 로고    scopus 로고
    • Novel delay-dependent robust stability criterion of delayed cellular neural networks
    • H. J. Cho and J. H. Park, Novel delay-dependent robust stability criterion of delayed cellular neural networks, Chaos Solitons Fractals, vol.32, pp.1194-1200, 2007.
    • (2007) Chaos Solitons Fractals , vol.32 , pp. 1194-1200
    • Cho, H.J.1    Park, J.H.2
  • 8
    • 67349191474 scopus 로고    scopus 로고
    • Delay-dependent stability of neutral type neural networks with distributed delays
    • J. Feng, S. Y. Xu and Y. Zou, Delay-dependent stability of neutral type neural networks with distributed delays, Neurocomputing, vol.72, pp.2576-2580, 2009.
    • (2009) Neurocomputing , vol.72 , pp. 2576-2580
    • Feng, J.1    Xu, S.Y.2    Zou, Y.3
  • 9
    • 27744606163 scopus 로고    scopus 로고
    • LMI-based stability criteria for neural networks with multiple time-varying delays
    • Y. He, Q. G. Wang and M. Wu, LMI-based stability criteria for neural networks with multiple time-varying delays, Physical D, vol.212, pp.126-136, 2005.
    • (2005) Physical D , vol.212 , pp. 126-136
    • He, Y.1    Wang, Q.G.2    Wu, M.3
  • 10
    • 33746364170 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of delayed neural networks with time-varying delay
    • Y. He, M. Wu and J. She, Delay-dependent exponential stability of delayed neural networks with time-varying delay, IEEE Transactions on Circuits and Systems II, Exp. Briefs, vol.53, no.7, pp.553-557, 2006.
    • (2006) IEEE Transactions On Circuits and Systems II, Exp. Briefs , vol.53 , Issue.7 , pp. 553-557
    • He, Y.1    Wu, M.2    She, J.3
  • 11
    • 33846047356 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for neural networks with time- varying delay
    • Y. He, G. Liu and D. Rees, New delay-dependent stability criteria for neural networks with time- varying delay, IEEE Transactions on Neural Networks, vol.18, no.1, pp.310-314, 2007.
    • (2007) IEEE Transactions On Neural Networks , vol.18 , Issue.1 , pp. 310-314
    • He, Y.1    Liu, G.2    Rees, D.3
  • 12
    • 38149066040 scopus 로고    scopus 로고
    • Stability analysis for neural networks with time-varying interval delay
    • Y. He, G. Liu, D. Rees and M. Wu, Stability analysis for neural networks with time-varying interval delay, IEEE Transactions on Neural Networks, vol.18, no.6, pp.1850-1854, 2007.
    • (2007) IEEE Transactions On Neural Networks , vol.18 , Issue.6 , pp. 1850-1854
    • He, Y.1    Liu, G.2    Rees, D.3    Wu, M.4
  • 13
    • 0020118274 scopus 로고
    • Neural network and physical systems with emergent collective computational abilities
    • J. J. Hopfield, Neural network and physical systems with emergent collective computational abilities, Proc. of National Academy of Science, vol.79, no.2, pp.2554-2558, 1982.
    • (1982) Proc. of National Academy of Science , vol.79 , Issue.2 , pp. 2554-2558
    • Hopfield, J.J.1
  • 14
    • 0031672895 scopus 로고    scopus 로고
    • Stability analysis for neural dynamics with time-varying delays
    • C. Hou and J. Qian, Stability analysis for neural dynamics with time-varying delays, IEEE Transactions on Neural Networks, vol.9, pp.221-223, 1998.
    • (1998) IEEE Transactions On Neural Networks , vol.9 , pp. 221-223
    • Hou, C.1    Qian, J.2
  • 15
    • 0036745062 scopus 로고    scopus 로고
    • Global stability of a class of continuous time recurrent neural networks
    • S. Hu and J. Wang, Global stability of a class of continuous time recurrent neural networks, IEEE Transactions on Circuits and Systems I-Regular Papers, vol.49, pp.1334-1347, 2002.
    • (2002) IEEE Transactions On Circuits and Systems I-Regular Papers , vol.49 , pp. 1334-1347
    • Hu, S.1    Wang, J.2
  • 16
    • 33644983182 scopus 로고    scopus 로고
    • New results on stability analysis of neural networks with time-varying delays
    • C. C. Hua, C. N. Long and X. P. Guan, New results on stability analysis of neural networks with time-varying delays, Physics Letters A, vol.352, pp.335-340, 2006.
    • (2006) Physics Letters A , vol.352 , pp. 335-340
    • Hua, C.C.1    Long, C.N.2    Guan, X.P.3
  • 17
    • 33750375215 scopus 로고    scopus 로고
    • Global exponential stability of periodic neural networks with time-varying delays
    • H. Jiang and J. Cao, Global exponential stability of periodic neural networks with time-varying delays, Neurocomputing, vol.70, pp.343-350, 2006.
    • (2006) Neurocomputing , vol.70 , pp. 343-350
    • Jiang, H.1    Cao, J.2
  • 18
    • 0034233270 scopus 로고    scopus 로고
    • Results concerning the absolute stability of delayed neural networks
    • M. Joy, Results concerning the absolute stability of delayed neural networks, Neural Networks, vol.13, pp.613-616, 2000.
    • (2000) Neural Networks , vol.13 , pp. 613-616
    • Joy, M.1
  • 19
    • 33750480558 scopus 로고    scopus 로고
    • Robust stability and robust periodicity of delayed recurrent neural networks with noise disturbance
    • C. Li and X. Liao, Robust stability and robust periodicity of delayed recurrent neural networks with noise disturbance, IEEE Transactions on Circuits and Systems I-Regular Papers, vol.53, no.10, pp.2265-2273, 2006.
    • (2006) IEEE Transactions On Circuits and Systems I-Regular Papers , vol.53 , Issue.10 , pp. 2265-2273
    • Li, C.1    Liao, X.2
  • 20
    • 35649009325 scopus 로고    scopus 로고
    • Further result on asymptotic stability criterion of neural networks with time-varying delays
    • T. Li, L. Guo and C. Y. Sun, Further result on asymptotic stability criterion of neural networks with time-varying delays, Neurocomputing, vol.71, pp.439-447, 2007.
    • (2007) Neurocomputing , vol.71 , pp. 439-447
    • Li, T.1    Guo, L.2    Sun, C.Y.3
  • 21
    • 42549152358 scopus 로고    scopus 로고
    • Further result on delay-dependent stability criterion of neural networks with time-varying delays
    • T. Li, L. Guo, C. Sun and C. Lin, Further result on delay-dependent stability criterion of neural networks with time-varying delays, IEEE Transactions on Neural Networks, vol.19, no.4, pp.726-730, 2008.
    • (2008) IEEE Transactions On Neural Networks , vol.19 , Issue.4 , pp. 726-730
    • Li, T.1    Guo, L.2    Sun, C.3    Lin, C.4
  • 22
    • 50349093719 scopus 로고    scopus 로고
    • New results on global asymptotic stability analysis for neural networks with time-varying delays
    • T. Li, L. Guo and C. Y. Sun, New results on global asymptotic stability analysis for neural networks with time-varying delays, Nonlinear Analysis: Real World Applications, vol.10, pp.554-562, 2009.
    • (2009) Nonlinear Analysis: Real World Applications , vol.10 , pp. 554-562
    • Li, T.1    Guo, L.2    Sun, C.Y.3
  • 23
    • 0001284544 scopus 로고    scopus 로고
    • A recurrent neural network for nonlinear optimization with a continuously differentiable objective function and bound constraints
    • X. B. Liang and J. Wang, A recurrent neural network for nonlinear optimization with a continuously differentiable objective function and bound constraints, IEEE Transactions on Neural Networks, vol.11, pp.1251-1262, 2000.
    • (2000) IEEE Transactions On Neural Networks , vol.11 , pp. 1251-1262
    • Liang, X.B.1    Wang, J.2
  • 24
    • 70350596314 scopus 로고    scopus 로고
    • Robust exponential stability for uncertain time-varying delay systems with delay dependence
    • P.-L. Liu, Robust exponential stability for uncertain time-varying delay systems with delay dependence, Journal of Franklin Institute, vol.346, no.10, pp.958-968, 2009.
    • (2009) Journal of Franklin Institute , vol.346 , Issue.10 , pp. 958-968
    • Liu, P.-L.1
  • 25
    • 78650241936 scopus 로고    scopus 로고
    • Global asymptotic stability for neural networks systems with discrete and distributed delay
    • P.-L. Liu, Global asymptotic stability for neural networks systems with discrete and distributed delay, ICIC Express Letters, Part B: Applications, vol.1, no.2, pp.233-240, 2010.
    • (2010) ICIC Express Letters, Part B: Applications , vol.1 , Issue.2 , pp. 233-240
    • Liu, P.-L.1
  • 26
    • 47549110558 scopus 로고    scopus 로고
    • Delay-dependent stability analysis for recurrent neural networks with time-varying delay
    • C. Y. Lu, T. J. Su and S. C. Huang, Delay-dependent stability analysis for recurrent neural networks with time-varying delay, IET Control Theory Applications, vol.2, no.8, pp.736-742, 2008.
    • (2008) IET Control Theory Applications , vol.2 , Issue.8 , pp. 736-742
    • Lu, C.Y.1    Su, T.J.2    Huang, S.C.3
  • 27
    • 63649086505 scopus 로고    scopus 로고
    • A delay-dependent approach to stability for static recurrent neural networks with mixed time-varying delays
    • Y. Lu, T. J. Su, Y. H. Su and S. C. Huang, A delay-dependent approach to stability for static recurrent neural networks with mixed time-varying delays, International Journal of Innovative Computing Information and Control, vol.4, no.7, pp.1661-1672, 2008.
    • (2008) International Journal of Innovative Computing Information and Control , vol.4 , Issue.7 , pp. 1661-1672
    • Lu, Y.1    Su, T.J.2    Su, Y.H.3    Huang, S.C.4
  • 28
    • 31344444201 scopus 로고    scopus 로고
    • Global robust stability analysis of neural networks with multiple time delays
    • N. Ozcan and S. Arik, Global robust stability analysis of neural networks with multiple time delays, IEEE Transactions on Circuits and Systems I-Regular Papers, vol.53, no.1, pp.166-176, 2006.
    • (2006) IEEE Transactions On Circuits and Systems I-Regular Papers , vol.53 , Issue.1 , pp. 166-176
    • Ozcan, N.1    Arik, S.2
  • 29
    • 33847017190 scopus 로고    scopus 로고
    • A delay-dependent asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays
    • J. H. Park and H. J. Cho, A delay-dependent asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays, Chaos, Solitons and Fractals, vol.33, pp.436-442, 2007.
    • (2007) Chaos, Solitons and Fractals , vol.33 , pp. 436-442
    • Park, J.H.1    Cho, H.J.2
  • 30
    • 52149090973 scopus 로고    scopus 로고
    • Delay-dependent stability for recurrent neural networks with time-varying delays
    • H. Y. Shao, Delay-dependent stability for recurrent neural networks with time-varying delays, IEEE Transactions on Neural Networks, vol.19, no.9, pp.1647-1651, 2008.
    • (2008) IEEE Transactions On Neural Networks , vol.19 , Issue.9 , pp. 1647-1651
    • Shao, H.Y.1
  • 31
    • 31444445200 scopus 로고    scopus 로고
    • Simplified LMI condition for global asymptotic stability of delayed neural networks
    • V. Singh, Simplified LMI condition for global asymptotic stability of delayed neural networks, Chaos, Solitons and Fractals, vol.29, pp.470-473, 2006.
    • (2006) Chaos, Solitons and Fractals , vol.29 , pp. 470-473
    • Singh, V.1
  • 32
    • 0035399537 scopus 로고    scopus 로고
    • Global dynamics of Hopfield neural networks involving variable delays
    • D. Xu, H. Zhao and H. Zhu, Global dynamics of Hopfield neural networks involving variable delays, Computers and Mathematics with Applications, vol.42, pp.39-45, 2001.
    • (2001) Computers and Mathematics With Applications , vol.42 , pp. 39-45
    • Xu, D.1    Zhao, H.2    Zhu, H.3
  • 33
    • 1942443174 scopus 로고    scopus 로고
    • Global robust exponential stability analysis for interval recurrent neural networks
    • S. Xu, J. Lam, D. W. C. Ho and Y. Zou, Global robust exponential stability analysis for interval recurrent neural networks, Physics Letters A, vol.325, pp.124-133, 2004.
    • (2004) Physics Letters A , vol.325 , pp. 124-133
    • Xu, S.1    Lam, J.2    Ho, D.W.C.3    Zou, Y.4
  • 34
    • 21244505313 scopus 로고    scopus 로고
    • Novel global robust stability criteria for interval neural networks with multiple time-varying delays
    • S. Xu, J. Lam and D. W. C. Ho, Novel global robust stability criteria for interval neural networks with multiple time-varying delays, Physics Letters A, vol.342, pp.322-330, 2005.
    • (2005) Physics Letters A , vol.342 , pp. 322-330
    • Xu, S.1    Lam, J.2    Ho, D.W.C.3
  • 36
    • 33644993005 scopus 로고    scopus 로고
    • A new LMI condition for delayed dependent asymptotic stability of delayed Hopfield neural networks
    • S. Xu, J. Lam and D. W. C. Ho, A new LMI condition for delayed dependent asymptotic stability of delayed Hopfield neural networks, IEEE Transactions on Circuits and Systems II-Express Briefs, vol.52, no.3, pp.230-234, 2006.
    • (2006) IEEE Transactions On Circuits and Systems II-Express Briefs , vol.52 , Issue.3 , pp. 230-234
    • Xu, S.1    Lam, J.2    Ho, D.W.C.3
  • 37
    • 33644982553 scopus 로고    scopus 로고
    • New results on global exponential stability of recurrent neural networks with time-varying delays
    • S. Xu, Y. Chu and J. Lu, New results on global exponential stability of recurrent neural networks with time-varying delays, Physics Letters A, vol.352, pp.371-379, 2006.
    • (2006) Physics Letters A , vol.352 , pp. 371-379
    • Xu, S.1    Chu, Y.2    Lu, J.3
  • 38
    • 30644469165 scopus 로고    scopus 로고
    • A new approach to exponential stability analysis of neural networks with time varying delays
    • S. Xu and J. Lam, A new approach to exponential stability analysis of neural networks with time varying delays, Neural Networks, vol.19, pp.76-83, 2006.
    • (2006) Neural Networks , vol.19 , pp. 76-83
    • Xu, S.1    Lam, J.2
  • 39
    • 0347511636 scopus 로고    scopus 로고
    • A comparative study on two modeling approaches in neural networks
    • Z. B. Xu, H. Qiao, J. Peng and B. Zhang, A comparative study on two modeling approaches in neural networks, Neural Networks, vol.17, pp.73-85, 2004.
    • (2004) Neural Networks , vol.17 , pp. 73-85
    • Xu, Z.B.1    Qiao, H.2    Peng, J.3    Zhang, B.4
  • 40
    • 33846652751 scopus 로고    scopus 로고
    • Neural network with variable type connection weights for autonomous obstacle avoidance on a prototype of six-wheel type intelligent wheelchair
    • T. Yasuda, K. Nakamura, A. Kawahara and K. Tanaka, Neural network with variable type connection weights for autonomous obstacle avoidance on a prototype of six-wheel type intelligent wheelchair, International Journal of Innovative Computing, Information and Control, vol.2, no.5, pp.1165-1177, 2006.
    • (2006) International Journal of Innovative Computing, Information and Control , vol.2 , Issue.5 , pp. 1165-1177
    • Yasuda, T.1    Nakamura, K.2    Kawahara, A.3    Tanaka, K.4
  • 41
    • 1842685901 scopus 로고    scopus 로고
    • New exponential stability results for delayed neural networks with time-varying delays
    • E. Yucel and S. Arik, New exponential stability results for delayed neural networks with time-varying delays, Physical D: Nonlinear Phenomena, vol.191, pp.314-322, 2004.
    • (2004) Physical D: Nonlinear Phenomena , vol.191 , pp. 314-322
    • Yucel, E.1    Arik, S.2
  • 42
    • 33846685663 scopus 로고    scopus 로고
    • Relaxed stability conditions for delayed recurrent neural networks with polytopic uncertainties
    • B. Zhang, S. Xu and Y. Zou, Relaxed stability conditions for delayed recurrent neural networks with polytopic uncertainties, International Journal of Neural Systems, vol.16, pp.473-482, 2006.
    • (2006) International Journal of Neural Systems , vol.16 , pp. 473-482
    • Zhang, B.1    Xu, S.2    Zou, Y.3
  • 43
    • 34247631717 scopus 로고    scopus 로고
    • On global exponential stability of high-order neural networks with time-varying delays
    • B. Zhang, S. Xu, Y. Li and Y. Chu, On global exponential stability of high-order neural networks with time-varying delays, Physics Letters A, vol.366, pp.69-78, 2007.
    • (2007) Physics Letters A , vol.366 , pp. 69-78
    • Zhang, B.1    Xu, S.2    Li, Y.3    Chu, Y.4
  • 44
    • 34547202432 scopus 로고    scopus 로고
    • Delay-dependent robust exponential stability for uncertain recurrent neural networks with time-varying delays
    • B. Y. Zhang, S. Y. Xu and Y. M. Li, Delay-dependent robust exponential stability for uncertain recurrent neural networks with time-varying delays, International Journal of Neural Systems, vol.17, no.3, pp.207-218, 2007.
    • (2007) International Journal of Neural Systems , vol.17 , Issue.3 , pp. 207-218
    • Zhang, B.Y.1    Xu, S.Y.2    Li, Y.M.3
  • 45
    • 21744433396 scopus 로고    scopus 로고
    • LMI-based robust stability analysis of neural networks with time-varying delay
    • H. Zhang and X. Liao, LMI-based robust stability analysis of neural networks with time-varying delay, Neurocomputing, vol.67, pp.306-312, 2005.
    • (2005) Neurocomputing , vol.67 , pp. 306-312
    • Zhang, H.1    Liao, X.2
  • 46
    • 73949132376 scopus 로고    scopus 로고
    • Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay
    • H. G. Zhang, Z. W. Liu, G. B. Huang and Z. S. Wang, Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay, IEEE Transactions on Neural Networks, vol.21, no.1, pp.91-106, 2010.
    • (2010) IEEE Transactions On Neural Networks , vol.21 , Issue.1 , pp. 91-106
    • Zhang, H.G.1    Liu, Z.W.2    Huang, G.B.3    Wang, Z.S.4
  • 47
    • 0037303380 scopus 로고    scopus 로고
    • Globally exponential stability of neural networks with variable delays
    • J. Zhang, Globally exponential stability of neural networks with variable delays, IEEE Transactions on Circuits Systems I, vol.50, pp.288-291, 2003.
    • (2003) IEEE Transactions On Circuits Systems I , vol.50 , pp. 288-291
    • Zhang, J.1
  • 48
    • 6344254943 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of cellular neural networks with time-varying delays
    • Q. Zhang, X. Wei and J. Xu, Delay-dependent exponential stability of cellular neural networks with time-varying delays, Chaos, Solitons and Fractals, vol.23, pp.1363-1369, 2005.
    • (2005) Chaos, Solitons and Fractals , vol.23 , pp. 1363-1369
    • Zhang, Q.1    Wei, X.2    Xu, J.3
  • 49
    • 34147135123 scopus 로고    scopus 로고
    • Delay-dependent global stability results for delayed Hopfield neural networks
    • Q. Zhang, X. Wei and J. Xu, Delay-dependent global stability results for delayed Hopfield neural networks, Chaos Solitons Fractals, vol.34, pp.662-668, 2007.
    • (2007) Chaos Solitons Fractals , vol.34 , pp. 662-668
    • Zhang, Q.1    Wei, X.2    Xu, J.3
  • 50
    • 0037174277 scopus 로고    scopus 로고
    • Globally exponential stability conditions for cellular neural networks with time varying delays
    • D. Zhou and J. Cao, Globally exponential stability conditions for cellular neural networks with time varying delays, Applied Mathematics and Computation, vol.131, pp.487-496, 2002.
    • (2002) Applied Mathematics and Computation , vol.131 , pp. 487-496
    • Zhou, D.1    Cao, J.2


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