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Volumn 24, Issue 9, 2013, Pages 1459-1466

Combined convex technique on delay-dependent stability for delayed neural networks

Author keywords

Combined convex technique; delayed neural networks (DNNs); global stability; linear matrix inequality; time varying delay

Indexed keywords

COMBINED CONVEX TECHNIQUE; DELAY-DEPENDENT STABILITY; DELAYED NEURAL NETWORKS; GLOBAL STABILITY; GLOBALLY ASYMPTOTICALLY STABLE; LYAPUNOV-KRASOVSKII FUNCTIONAL (LKF); TIME-VARYING DELAY;

EID: 84882845831     PISSN: 2162237X     EISSN: 21622388     Source Type: Journal    
DOI: 10.1109/TNNLS.2013.2256796     Document Type: Article
Times cited : (93)

References (39)
  • 1
    • 84865322211 scopus 로고    scopus 로고
    • New results for global exponential stability of neural networks with varying delays
    • Nov
    • Y. J. Liu, W. B. Ma, and M. S. Mahmoud, "New results for global exponential stability of neural networks with varying delays," Neurocomputing, vol. 97, no. 15, pp. 357-363, Nov. 2012.
    • (2012) Neurocomputing , vol.97 , Issue.15 , pp. 357-363
    • Liu, Y.J.1    Ma, W.B.2    Mahmoud, M.S.3
  • 2
    • 83555163798 scopus 로고    scopus 로고
    • New stability criteria for neural networks with time-varying delays
    • Jan
    • C. C. Hua, X. Yang, J. Yan, and X. P. Guan, "New stability criteria for neural networks with time-varying delays," Appl. Math. Comput., vol. 218, no. 9, pp. 5035-5042, Jan. 2012.
    • (2012) Appl. Math. Comput. , vol.218 , Issue.9 , pp. 5035-5042
    • Hua, C.C.1    Yang, X.2    Yan, J.3    Guan, X.P.4
  • 3
    • 79960143762 scopus 로고    scopus 로고
    • LMI-based approach for global asymptotic stability analysis of recurrent neural networks with various delays and structures
    • Jul
    • Z. S. Wang, H. G. Zhang, and B. Jiang, "LMI-based approach for global asymptotic stability analysis of recurrent neural networks with various delays and structures," IEEE Trans. Neural Netw., vol. 22, no. 7, pp. 1032-1045, Jul. 2011.
    • (2011) IEEE Trans. Neural Netw. , vol.22 , Issue.7 , pp. 1032-1045
    • Wang, Z.S.1    Zhang, H.G.2    Jiang, B.3
  • 4
    • 79952900629 scopus 로고    scopus 로고
    • Novel exponential stability criteria of high-order neural networks with time-varying delays
    • Apr
    • C. D. Zheng, H. G. Zhang, and Z. S. Wang, "Novel exponential stability criteria of high-order neural networks with time-varying delays," IEEE Trans. Syst., Man, Cybern., Part B, Cybern., vol. 41, no. 2, pp. 486-496, Apr. 2011.
    • (2011) IEEE Trans. Syst., Man, Cybern., Part B, Cybern. , vol.41 , Issue.2 , pp. 486-496
    • Zheng, C.D.1    Zhang, H.G.2    Wang, Z.S.3
  • 5
    • 84875905150 scopus 로고    scopus 로고
    • Global stability of complex-valued recurrent neural networks with time-delays
    • Jun
    • J. Hu and J. Wang, "Global stability of complex-valued recurrent neural networks with time-delays," IEEE Trans. Neural Netw. Learn. Syst., vol. 23, no. 6, pp. 853-865, Jun. 2012.
    • (2012) IEEE Trans. Neural Netw. Learn. Syst. , vol.23 , Issue.6 , pp. 853-865
    • Hu, J.1    Wang, J.2
  • 6
    • 84865322211 scopus 로고    scopus 로고
    • New results for global exponential stability of neural networks with varying delays
    • Y. J. Liu, W. B. Ma, and Magdi S. Mahmoud, "New results for global exponential stability of neural networks with varying delays," Neurocomputing, vol. 97, no. 15, pp. 357-363, 2012.
    • (2012) Neurocomputing , vol.97 , Issue.15 , pp. 357-363
    • Liu, Y.J.1    Ma, W.B.2    Mahmoud, M.S.3
  • 7
    • 84862864158 scopus 로고    scopus 로고
    • Passivity criteria for continuoustime neural networks with mixed time-varying delays
    • H. Y. Li, J. Lam, and K. C. Cheung, "Passivity criteria for continuoustime neural networks with mixed time-varying delays," Appl. Math. Comput., vol. 218, no. 22, pp. 11062-11074, 2012.
    • (2012) Appl. Math. Comput. , vol.218 , Issue.22 , pp. 11062-11074
    • Li, H.Y.1    Lam, J.2    Cheung, K.C.3
  • 8
    • 80051546972 scopus 로고    scopus 로고
    • Global asymptotic stability for a class of generalized neural networks with interval time-varying delays
    • Aug
    • X. M. Zhang and H. Q. Han, "Global asymptotic stability for a class of generalized neural networks with interval time-varying delays," IEEE Trans. Neural Netw., vol. 22, no. 8, pp. 1180-1192, Aug. 2011.
    • (2011) IEEE Trans. Neural Netw. , vol.22 , Issue.8 , pp. 1180-1192
    • Zhang, X.M.1    Han, H.Q.2
  • 9
    • 83855160856 scopus 로고    scopus 로고
    • Delay-slope-dependent stability results of recurrent neural networks
    • Dec
    • T. Li, W. X. Zheng, and C. Lin, "Delay-slope-dependent stability results of recurrent neural networks," IEEE Trans. Neural Netw., vol. 22, no. 12, pp. 2138-2143, Dec. 2011.
    • (2011) IEEE Trans. Neural Netw. , vol.22 , Issue.12 , pp. 2138-2143
    • Li, T.1    Zheng, W.X.2    Lin, C.3
  • 10
    • 76749160268 scopus 로고    scopus 로고
    • A new method for stability analysis of recurrent neural networks with interval time-varying delay
    • Feb
    • Z. Q. Zuo, C. L. Yang, and Y. J. Wang, "A new method for stability analysis of recurrent neural networks with interval time-varying delay," IEEE Trans. Neural Netw., vol. 21, no. 2, pp. 339-344, Feb. 2010.
    • (2010) IEEE Trans. Neural Netw. , vol.21 , Issue.2 , pp. 339-344
    • Zuo, Z.Q.1    Yang, C.L.2    Wang, Y.J.3
  • 11
    • 84860430838 scopus 로고    scopus 로고
    • New approaches on stability criteria for neural networks with interval time-varying delays
    • O. M. Kwon, S. M. Lee, J. H. Park, and E. J. Cha, "New approaches on stability criteria for neural networks with interval time-varying delays," Appl. Math. Comput., vol. 218, no. 19, pp. 9953-9964, 2012.
    • (2012) Appl. Math. Comput. , vol.218 , Issue.19 , pp. 9953-9964
    • Kwon, O.M.1    Lee, S.M.2    Park, J.H.3    Cha, E.J.4
  • 12
    • 79959199278 scopus 로고    scopus 로고
    • Improved delay-dependent stability criterion for neural networks with time-varying delay
    • Aug
    • J. K. Tian and S. M. Zhong, "Improved delay-dependent stability criterion for neural networks with time-varying delay," Appl. Math. Comput., vol. 217, no. 24, pp. 10278-10288, Aug. 2011.
    • (2011) Appl. Math. Comput. , vol.217 , Issue.24 , pp. 10278-10288
    • Tian, J.K.1    Zhong, S.M.2
  • 13
    • 84868630035 scopus 로고    scopus 로고
    • Robustness analysis of global exponential stability of recurrent neural networks in the presence of time delays and random disturbances
    • Jan
    • Y. Shen and J.Wang, "Robustness analysis of global exponential stability of recurrent neural networks in the presence of time delays and random disturbances," IEEE Trans. Neural Netw. Learn. Syst., vol. 23, no. 1, pp. 87-96, Jan. 2012.
    • (2012) IEEE Trans. Neural Netw. Learn. Syst. , vol.23 , Issue.1 , pp. 87-96
    • Shen, Y.1    Wang, J.2
  • 14
    • 78049413214 scopus 로고    scopus 로고
    • Delaydependent robust exponential state estimation of Markovian jumping fuzzy Hopfield neural networks with mixed
    • random time-varying delays
    • P. Balasubramaniam, V. Vembarasan, and R. Rakkiyappan, "Delaydependent robust exponential state estimation of Markovian jumping fuzzy Hopfield neural networks with mixed random time-varying delays," Commun. Nonl. Sci. Numer. Simul., vol. 16, no. 4, pp. 2109- 2129, 2011.
    • (2011) Commun. Nonl. Sci. Numer. Simul. , vol.16 , Issue.4 , pp. 2109-2129
    • Balasubramaniam, P.1    Vembarasan, V.2    Rakkiyappan, R.3
  • 15
    • 68749110479 scopus 로고    scopus 로고
    • Delay-range dependent stability criteria for neural networks with Markovian jumping parameters
    • Nov.
    • P. Balasubramaniam and S. Lakshmanan, "Delay-range dependent stability criteria for neural networks with Markovian jumping parameters," Nonlinear. Anal., Hybrid Syst., vol. 3, no. 4, pp. 749-756, Nov. 2009.
    • (2009) Nonlinear. Anal., Hybrid Syst. , vol.3 , Issue.4 , pp. 749-756
    • Balasubramaniam, P.1    Lakshmanan, S.2
  • 16
    • 52049088920 scopus 로고    scopus 로고
    • LMI conditions for global asymptotic stability results for neutral-type neural networks with distributed time delays
    • Oct.
    • R. Rakkiyappan and P. Balasubramaniam, "LMI conditions for global asymptotic stability results for neutral-type neural networks with distributed time delays," Appl. Math. Comput., vol. 204, no. 1, pp. 317-324, Oct. 2008.
    • (2008) Appl. Math. Comput. , vol.204 , Issue.1 , pp. 317-324
    • Rakkiyappan, R.1    Balasubramaniam, P.2
  • 17
    • 65449134039 scopus 로고    scopus 로고
    • LMI conditions for stability of stochastic recurrent neural networks with distributed delays
    • May
    • R. Rakkiyappan and P. Balasubramaniam, "LMI conditions for stability of stochastic recurrent neural networks with distributed delays," Chaos, Solitons Fractals, vol. 40, no. 4, pp. 1688-1696, May 2009.
    • (2009) Chaos, Solitons Fractals , vol.40 , Issue.4 , pp. 1688-1696
    • Rakkiyappan, R.1    Balasubramaniam, P.2
  • 18
    • 38149066040 scopus 로고    scopus 로고
    • Stability analysis for neural networks with time-varying interval delay
    • Nov.
    • Y. He, G. P. Liu, D. Rees, and M. Wu, "Stability analysis for neural networks with time-varying interval delay," IEEE Trans. Neural Netw., vol. 18, no. 6, pp. 1850-1854, Nov. 2007.
    • (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
  • 19
    • 84857135959 scopus 로고    scopus 로고
    • Robust stability analysis for Markovian jumping interval neural networks with discrete and distributed time-varying delays
    • P. Balasubramaniam, S. Lakshmanan, and A. Manivannan, "Robust stability analysis for Markovian jumping interval neural networks with discrete and distributed time-varying delays," Chaos, Solitons Fractals, vol. 45, no. 4, pp. 483-495, 2012.
    • (2012) Chaos, Solitons Fractals , vol.45 , Issue.4 , pp. 483-495
    • Balasubramaniam, P.1    Lakshmanan, S.2    Manivannan, A.3
  • 20
    • 84855813545 scopus 로고    scopus 로고
    • On improved passivity criteria of uncertain neural networks with time-varying delays
    • Jan
    • O. M. Kwon, S. M. Lee, and J. H. Park, "On improved passivity criteria of uncertain neural networks with time-varying delays," Nonlinear Dyn., vol. 67, no. 2, pp. 1261-1271, Jan. 2012.
    • (2012) Nonlinear Dyn. , vol.67 , Issue.2 , pp. 1261-1271
    • Kwon, O.M.1    Lee, S.M.2    Park, J.H.3
  • 21
    • 84855651256 scopus 로고    scopus 로고
    • Delay-dependent global asymptotic stability criteria for stochastic genetic regulatory networks with Markovian jumping parameters
    • Apr
    • X. D. Li and R. Rakkiyappan, "Delay-dependent global asymptotic stability criteria for stochastic genetic regulatory networks with Markovian jumping parameters," Appl. Math. Model., vol. 36, no. 4, pp. 1718-1730, Apr. 2012.
    • (2012) Appl. Math. Model. , vol.36 , Issue.4 , pp. 1718-1730
    • Li, X.D.1    Rakkiyappan, R.2
  • 22
    • 84863440891 scopus 로고    scopus 로고
    • Stability analysis for a class of neutral-type neural networks with Markovian jumping parameters and mode-dependent mixed delays
    • Oct
    • Y. R. Liu, Z. D. Wang, and X. H. Liu, "Stability analysis for a class of neutral-type neural networks with Markovian jumping parameters and mode-dependent mixed delays," Neurocomputing, vol. 94, no. 1, pp. 46-53, Oct. 2012.
    • (2012) Neurocomputing , vol.94 , Issue.1 , pp. 46-53
    • Liu, Y.R.1    Wang, Z.D.2    Liu, X.H.3
  • 23
    • 84862904570 scopus 로고    scopus 로고
    • Stability and dissipativity analysis of static neural networks with time delay
    • Feb
    • Z. G. Wu, J. Lam, H. Y. Su, and J. Chu, "Stability and dissipativity analysis of static neural networks with time delay," IEEE Trans. Neural Netw. Learn. Syst., vol. 23, no. 2, pp. 199-210, Feb. 2012.
    • (2012) IEEE Trans. Neural Netw. Learn. Syst. , vol.23 , Issue.2 , pp. 199-210
    • Wu, Z.G.1    Lam, J.2    Su, H.Y.3    Chu, J.4
  • 24
    • 84865321328 scopus 로고    scopus 로고
    • Stability analysis of markovian jump stochastic BAM neural networks with impulse control and mixed time delays
    • Mar
    • Q. X. Zhu and J. D. Cao, "Stability analysis of markovian jump stochastic BAM neural networks with impulse control and mixed time delays," IEEE Trans. Neural Netw. Learn. Syst., vol. 23, no. 3, pp. 467-479, Mar. 2012.
    • (2012) IEEE Trans. Neural Netw. Learn. Syst. , vol.23 , Issue.3 , pp. 467-479
    • Zhu, Q.X.1    Cao, J.D.2
  • 25
    • 63449122906 scopus 로고    scopus 로고
    • Global asymptotic stability and robust stability of a class of Cohen-Grossberg neural networks with mixed delays
    • Mar.
    • H. G. Zhang, Z. S. Wang, and D. R. Liu, "Global asymptotic stability and robust stability of a class of Cohen-Grossberg neural networks with mixed delays," IEEE Trans. Circuits Syst. Part I, Regular Papers, vol. 56, no. 3, pp. 616-629, Mar. 2009.
    • (2009) IEEE Trans. Circuits Syst. Part I, Regular Papers , vol.56 , Issue.3 , pp. 616-629
    • Zhang, H.G.1    Wang, Z.S.2    Liu, D.R.3
  • 26
    • 84865340277 scopus 로고    scopus 로고
    • Global exponential stability criteria for neural networks with probabilistic delays
    • Nov
    • M. S. Mahmoud, S. Z. Selim, and P. Shi, "Global exponential stability criteria for neural networks with probabilistic delays," IET Control Theory Appl., vol. 4, no. 11, pp. 2405-2415, Nov. 2010.
    • (2010) IET Control Theory Appl. , vol.4 , Issue.11 , pp. 2405-2415
    • Mahmoud, M.S.1    Selim, S.Z.2    Shi, P.3
  • 27
    • 84879088407 scopus 로고    scopus 로고
    • Delay-derivativedependent stability criterion for neural networks with probabilistic time-varying delay
    • May, DOI: 10.1080/00207721.2012.685198
    • G. B. Zhang, T. Wang, T. Li, and S. M. Fei, "Delay- derivativedependent stability criterion for neural networks with probabilistic time-varying delay," Int. J. Syst. Sci., May 2012, DOI: 10.1080/00207721.2012.685198.
    • (2012) Int. J. Syst. Sci.
    • Zhang, G.B.1    Wang, T.2    Li, T.3    Fei, S.M.4
  • 28
    • 70350622439 scopus 로고    scopus 로고
    • Delay-probability-distributiondependent robust stability analysis for stochastic neural networks with time-varying delay
    • Oct.
    • J. Fu, H. G. Zhang, and T. D. Ma, "Delay-probability- distributiondependent robust stability analysis for stochastic neural networks with time-varying delay," Progr. Natural Sci., vol. 19, no. 10, pp. 1333-1340, Oct. 2009.
    • (2009) Progr. Natural Sci. , vol.19 , Issue.10 , pp. 1333-1340
    • Fu, J.1    Zhang, H.G.2    Ma, T.D.3
  • 29
    • 58549084830 scopus 로고    scopus 로고
    • New stability criteria of neural networks with interval time-varying delay: A piecewise delay method
    • Feb.
    • 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., vol. 208, no. 1, pp. 249-259, Feb. 2009.
    • (2009) Appl. Math. Comput. , vol.208 , Issue.1 , pp. 249-259
    • Zhang, Y.J.1    Yue, D.2    Tian, E.G.3
  • 30
    • 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 J. Lam, "A new criterion of delay-dependent asymptotic stability for Hopfield neural networks with time delay," IEEE Trans. Neural Netw., vol. 19, no. 3, pp. 532-535, Mar. 2008. (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
  • 31
    • 73949132376 scopus 로고    scopus 로고
    • Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay
    • Jan
    • 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 Trans. Neural Netw., vol. 21, no. 1, pp. 91-106, Jan. 2010.
    • (2010) IEEE Trans. Neural Netw. , vol.21 , Issue.1 , pp. 91-106
    • Zhang, H.G.1    Liu, Z.W.2    Huang, G.B.3    Wang, Z.S.4
  • 32
    • 57749083143 scopus 로고    scopus 로고
    • Improved delay-dependent asymptotical stability criteria for delayed neural networks
    • Dec.
    • W. H. Chen and W. X. Zheng, "Improved delay-dependent asymptotical stability criteria for delayed neural networks," IEEE Trans. Neural Netw., vol. 19, no. 12, pp. 2154-2161, Dec. 2008.
    • (2008) IEEE Trans. Neural Netw. , vol.19 , Issue.12 , pp. 2154-2161
    • Chen, W.H.1    Zheng, W.X.2
  • 33
    • 79955847145 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for neural networks with two additive time-varying delay components
    • Mar
    • H. Y. Shao and Q. L. Han, "New delay-dependent stability criteria for neural networks with two additive time-varying delay components," IEEE Trans. Neural Netw., vol. 22, no. 5, pp. 812-818, Mar. 2011.
    • (2011) IEEE Trans. Neural Netw. , vol.22 , Issue.5 , pp. 812-818
    • Shao, H.Y.1    Han, Q.L.2
  • 34
    • 80955142654 scopus 로고    scopus 로고
    • Improved delay-dependent stability criteria for neural networks with two additive time-varying delay components
    • Feb
    • J. K. Tian and S. M. Zhong, "Improved delay-dependent stability criteria for neural networks with two additive time-varying delay components," Neurocomputing, vol. 77, no. 3, pp. 114-119, Feb. 2012.
    • (2012) Neurocomputing , vol.77 , Issue.3 , pp. 114-119
    • Tian, J.K.1    Zhong, S.M.2
  • 35
    • 70349850642 scopus 로고    scopus 로고
    • New conditions for delay-derivative-dependent stability
    • Sep.
    • E. Fridman, U. Shaked, and K. Liu, "New conditions for delay-derivative-dependent stability," Automatica, vol. 45, no. 11, pp. 2723-2727, Sep. 2009.
    • (2009) Automatica , vol.45 , Issue.11 , pp. 2723-2727
    • Fridman, E.1    Shaked, U.2    Liu, K.3
  • 36
    • 78650807125 scopus 로고    scopus 로고
    • Reciprocally convex approach to stability of systems with time-varying delays
    • Jan
    • P. Park, J. W. Ko, and C. Jeong, "Reciprocally convex approach to stability of systems with time-varying delays," Automatica, vol. 47, no. 1, pp. 235-238, Jan. 2011.
    • (2011) Automatica , vol.47 , Issue.1 , pp. 235-238
    • Park, P.1    Ko, J.W.2    Jeong, C.3
  • 37
    • 84863166580 scopus 로고    scopus 로고
    • Note on stability of discrete-time time-varying delay systems
    • Jan
    • J. Liu and J. Zhang, "Note on stability of discrete-time time-varying delay systems," IET Control Theory Appl., vol. 6, no. 2, pp. 335-339, Jan. 2012.
    • (2012) IET Control Theory Appl. , vol.6 , Issue.2 , pp. 335-339
    • Liu, J.1    Zhang, J.2
  • 38
    • 74149092560 scopus 로고    scopus 로고
    • Improved delayrange- dependent stability criteria for linear systems with timevarying delays
    • Feb
    • J. Sun, G. P. Liu, J. Chen, and D. Rees, "Improved delayrange- dependent stability criteria for linear systems with timevarying delays," Automatica, vol. 46, no. 2, pp. 466-470, Feb. 2010.
    • (2010) Automatica , vol.46 , Issue.2 , pp. 466-470
    • Sun, J.1    Liu, G.P.2    Chen, J.3    Rees, D.4
  • 39
    • 64049098860 scopus 로고    scopus 로고
    • Delay-distributiondependent stability and stabilization of T-S fuzzy systems with probabilistic interval delay
    • Apr.
    • D. Yue, E. G. Tian, Y. J. Zhang, and C. Peng, "Delay- distributiondependent stability and stabilization of T-S fuzzy systems with probabilistic interval delay," IEEE Trans. Syst., Man, Cybern. Part B, Cybern., vol. 39, no. 2, pp. 503-516, Apr. 2009.
    • (2009) IEEE Trans. Syst., Man, Cybern. Part B, Cybern. , vol.39 , Issue.2 , pp. 503-516
    • Yue, D.1    Tian, E.G.2    Zhang, Y.J.3    Peng, C.4


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