메뉴 건너뛰기




Volumn 39, Issue 2, 2009, Pages 467-474

Novel robust stability criteria for stochastic Hopfield neural networks with time delays

Author keywords

Hopfield neural networks (HNNs); Lyapunov Krasovskii functional; Robust stability; Stochastic systems; Time delay; Uncertainties

Indexed keywords

DELAY PARTITIONING; DELAY-DEPENDENT STABILITY CRITERION; LYAPUNOV-KRASOVSKII FUNCTIONAL; NUMERICAL EXAMPLES; PARAMETER UNCERTAINTIES; ROBUST STABILITY; STOCHASTIC HNNS; UNCERTAINTIES;

EID: 64049116250     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2008.2006860     Document Type: Article
Times cited : (160)

References (38)
  • 1
    • 43049095257 scopus 로고    scopus 로고
    • Optimal linear filtering for systems with multiple state and observation delays
    • Oct
    • M. Basin, E. Sanchez, and R. Martinez-Zuniga, "Optimal linear filtering for systems with multiple state and observation delays," Int. J. Innov. Comput. Inf. Control, vol. 3, no. 5, pp. 1309-1320, Oct. 2007.
    • (2007) Int. J. Innov. Comput. Inf. Control , vol.3 , Issue.5 , pp. 1309-1320
    • Basin, M.1    Sanchez, E.2    Martinez-Zuniga, R.3
  • 2
    • 0035400754 scopus 로고    scopus 로고
    • Stability of stochastic delay neural networks
    • Jul
    • S. Blythe, X. Mao, and X. Liao, "Stability of stochastic delay neural networks," J. Franklin Inst., vol. 338, no. 4, pp. 481-495, Jul. 2001.
    • (2001) J. Franklin Inst , vol.338 , Issue.4 , pp. 481-495
    • Blythe, S.1    Mao, X.2    Liao, X.3
  • 3
    • 56949099737 scopus 로고    scopus 로고
    • New robust stability of cellular neural networks with time-varying discrete and distributed delays
    • Dec
    • Y. Chen and W. Su, "New robust stability of cellular neural networks with time-varying discrete and distributed delays," Int. J. Innov. Comput. Inf. Control, vol. 3, no. 6(B), pp. 1549-1556, Dec. 2007.
    • (2007) Int. J. Innov. Comput. Inf. Control , vol.3 , Issue.6 B , pp. 1549-1556
    • Chen, Y.1    Su, W.2
  • 4
    • 0025465286 scopus 로고
    • A synthesis procedure for Hopfield's continuous-time associative memory
    • Jul
    • J. Farrell and A. Michel, "A synthesis procedure for Hopfield's continuous-time associative memory," IEEE Trans. Circuits Syst., vol. 37, no. 7, pp. 877-884, Jul. 1990.
    • (1990) IEEE Trans. Circuits Syst , vol.37 , Issue.7 , pp. 877-884
    • Farrell, J.1    Michel, A.2
  • 5
    • 33947380617 scopus 로고    scopus 로고
    • New results on stability of discrete-time systems with time-varying state delay
    • Feb
    • H. Gao and T. Chen, "New results on stability of discrete-time systems with time-varying state delay," IEEE Trans. Autom. Control, vol. 52, no. 2, pp. 328-334, Feb. 2007.
    • (2007) IEEE Trans. Autom. Control , vol.52 , Issue.2 , pp. 328-334
    • Gao, H.1    Chen, T.2
  • 6
    • 33750464493 scopus 로고    scopus 로고
    • New criteria for synchronization stability of general complex dynamical networks with coupling delays
    • Dec
    • H. Gao, J. Lam, and G. Chen, "New criteria for synchronization stability of general complex dynamical networks with coupling delays," Phys. Lett. A, vol. 360, no. 2, pp. 263-273, Dec. 2006.
    • (2006) Phys. Lett. A , vol.360 , Issue.2 , pp. 263-273
    • Gao, H.1    Lam, J.2    Chen, G.3
  • 7
    • 0035650074 scopus 로고    scopus 로고
    • Discretization schemes for Lyapunov-Krasovskii functionals in time-delay systems
    • Special Issue on Advances in Analysis and Control of Time-Delay Systems
    • K. Gu, "Discretization schemes for Lyapunov-Krasovskii functionals in time-delay systems," Kybernetika, vol. 37, no. 4, pp. 479-504, 1999. Special Issue on Advances in Analysis and Control of Time-Delay Systems.
    • (1999) Kybernetika , vol.37 , Issue.4 , pp. 479-504
    • Gu, K.1
  • 8
    • 0032761466 scopus 로고    scopus 로고
    • A generalized discretization scheme of Lyapunov functional in the stability problem of linear uncertain time-delay systems
    • Jan
    • K. Gu, "A generalized discretization scheme of Lyapunov functional in the stability problem of linear uncertain time-delay systems," Int. J. Robust Nonlinear Control, vol. 9, no. 1, pp. 1-14, Jan. 1999.
    • (1999) Int. J. Robust Nonlinear Control , vol.9 , Issue.1 , pp. 1-14
    • Gu, K.1
  • 10
    • 0004063090 scopus 로고
    • Englewood Cliffs, NJ: Prentice-Hall
    • S. Haykin, Neural Networks. Englewood Cliffs, NJ: Prentice-Hall, 1994.
    • (1994) Neural Networks
    • Haykin, S.1
  • 11
    • 33846047356 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for neural networks with time-varying delay
    • Jan
    • Y. He, G. Liu, and D. Rees, "New delay-dependent stability criteria for neural networks with time-varying delay," IEEE Trans. Neural Netw. vol. 18, no. 1, pp. 310-314, Jan. 2007.
    • (2007) IEEE Trans. Neural Netw , vol.18 , Issue.1 , pp. 310-314
    • He, Y.1    Liu, G.2    Rees, D.3
  • 12
    • 34249685553 scopus 로고    scopus 로고
    • Delay-dependent stability for uncertain stochastic neural networks with time-varying delay
    • Jul
    • H. Huang and G. Feng, "Delay-dependent stability for uncertain stochastic neural networks with time-varying delay," Physica A, vol. 381, pp. 93-103, Jul. 2007.
    • (2007) Physica A , vol.381 , pp. 93-103
    • Huang, H.1    Feng, G.2
  • 13
    • 20444396501 scopus 로고    scopus 로고
    • Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays
    • May
    • H. Huang, D.W. C. Ho, and J. Lam, "Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 52, no. 5, pp. 251-255, May 2005.
    • (2005) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.52 , Issue.5 , pp. 251-255
    • Huang, H.1    Ho, D.W.C.2    Lam, J.3
  • 14
    • 34548451976 scopus 로고    scopus 로고
    • Robust stability of stochastic delayed additive neural networks with Markovian switching
    • Sep
    • H. Huang, D. W. C. Ho, and Y. Qu, "Robust stability of stochastic delayed additive neural networks with Markovian switching," Neural Netw., vol. 20, no. 7, pp. 799-809, Sep. 2007.
    • (2007) Neural Netw , vol.20 , Issue.7 , pp. 799-809
    • Huang, H.1    Ho, D.W.C.2    Qu, Y.3
  • 15
    • 85126471825 scopus 로고    scopus 로고
    • Y. Jiang, B. Yang, J. Wang, and C. Shao, Delay-dependent stability criterion for delayed Hopfield neural networks, Chaos, Solitons Fractals, 2007. DOI:10.1016/j.chaos.2007.06.039, in press.
    • Y. Jiang, B. Yang, J. Wang, and C. Shao, "Delay-dependent stability criterion for delayed Hopfield neural networks," Chaos, Solitons Fractals, 2007. DOI:10.1016/j.chaos.2007.06.039, in press.
  • 16
    • 0036138293 scopus 로고    scopus 로고
    • Hopfield neural networks for optimization: Study of the different dynamics
    • Mar
    • G. Joya, M.A. Atencia, and F. Sandoval, "Hopfield neural networks for optimization: Study of the different dynamics," Neurocomputing, vol. 43, no. 1, pp. 219-237, Mar. 2002.
    • (2002) Neurocomputing , vol.43 , Issue.1 , pp. 219-237
    • Joya, G.1    Atencia, M.A.2    Sandoval, F.3
  • 17
    • 0035505615 scopus 로고    scopus 로고
    • Hopfield neural networks for affine invariant matching
    • Nov
    • W. J. Li and T. Lee, "Hopfield neural networks for affine invariant matching," IEEE Trans. Neural Netw., vol. 12, no. 6, pp. 1400-1410, Nov. 2001.
    • (2001) IEEE Trans. Neural Netw , vol.12 , Issue.6 , pp. 1400-1410
    • Li, W.J.1    Lee, T.2
  • 18
    • 38649120898 scopus 로고    scopus 로고
    • Robust stability of discrete-time stochastic neural networks with time-varying delays
    • Jan
    • Y. Liu, Z. Wang, and X. Liu, "Robust stability of discrete-time stochastic neural networks with time-varying delays," Neurocomputing vol. 71, no. 4-6, pp. 823-833, Jan. 2008.
    • (2008) Neurocomputing , vol.71 , Issue.4-6 , pp. 823-833
    • Liu, Y.1    Wang, Z.2    Liu, X.3
  • 19
    • 34249020142 scopus 로고    scopus 로고
    • Stochastic exponential stability for Markovian jumping BAM neural networks with time-varying delays
    • Jun
    • X. Lou and B. Cui, "Stochastic exponential stability for Markovian jumping BAM neural networks with time-varying delays," IEEE Trans. Syst., Man Cybern. B, Cybern., vol. 37, no. 3, pp. 713-719, Jun. 2007.
    • (2007) IEEE Trans. Syst., Man Cybern. B, Cybern , vol.37 , Issue.3 , pp. 713-719
    • Lou, X.1    Cui, B.2
  • 20
    • 40949160176 scopus 로고    scopus 로고
    • A new criterion of delay-dependent asymptotic stability for Hopfield neural networks with time delay
    • Mar
    • S. Mou, H. Gao, J. Lam, and W. Qiang, "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.
    • (2008) IEEE Trans. Neural Netw , vol.19 , Issue.3 , pp. 532-535
    • Mou, S.1    Gao, H.2    Lam, J.3    Qiang, W.4
  • 21
    • 41649121671 scopus 로고    scopus 로고
    • New delay-dependent exponential stability for neural networks with time delay
    • Apr
    • S. Mou, H. Gao, W. Qiang, and K. Chen, "New delay-dependent exponential stability for neural networks with time delay," IEEE Trans. Syst., Man Cybern. B, Cybern., vol. 38, no. 2, pp. 571-576, Apr. 2008.
    • (2008) IEEE Trans. Syst., Man Cybern. B, Cybern , vol.38 , Issue.2 , pp. 571-576
    • Mou, S.1    Gao, H.2    Qiang, W.3    Chen, K.4
  • 22
    • 35148875941 scopus 로고    scopus 로고
    • Global robust stability of bidirectional associative memory neural networks with multiple time delays
    • Oct
    • S. Senan and S. Arik, "Global robust stability of bidirectional associative memory neural networks with multiple time delays," IEEE Trans. Syst., Man Cybern. B, Cybern., vol. 37, no. 5, pp. 1375-1381, Oct. 2007.
    • (2007) IEEE Trans. Syst., Man Cybern. B, Cybern , vol.37 , Issue.5 , pp. 1375-1381
    • Senan, S.1    Arik, S.2
  • 23
    • 33644813506 scopus 로고    scopus 로고
    • Robust output feedback control for discrete time-delay uncertain systems
    • Jan
    • P. Shi, Z. Lin, and Y. Shi, "Robust output feedback control for discrete time-delay uncertain systems," Control Intell. Syst., vol. 34, no. 1, pp. 57-63, Jan. 2006.
    • (2006) Control Intell. Syst , vol.34 , Issue.1 , pp. 57-63
    • Shi, P.1    Lin, Z.2    Shi, Y.3
  • 24
    • 40749095173 scopus 로고    scopus 로고
    • Two design schemes for robust adaptive control of a class of linear uncertain neutral delay systems
    • Apr
    • X. Sun, J. Zhao, and W. Wang, "Two design schemes for robust adaptive control of a class of linear uncertain neutral delay systems," Int. J. Innov. Comput. Inf. Control, vol. 3, no. 2, pp. 385-396, Apr. 2007.
    • (2007) Int. J. Innov. Comput. Inf. Control , vol.3 , Issue.2 , pp. 385-396
    • Sun, X.1    Zhao, J.2    Wang, W.3
  • 25
    • 21744450109 scopus 로고    scopus 로고
    • Mean square exponential stability of stochastic delayed Hopfield neural networks
    • Aug
    • L. Wan and J. Sun, "Mean square exponential stability of stochastic delayed Hopfield neural networks," Phys. Lett. A, vol. 343, no. 4, pp. 306-318, Aug. 2005.
    • (2005) Phys. Lett. A , vol.343 , Issue.4 , pp. 306-318
    • Wan, L.1    Sun, J.2
  • 26
    • 54249169816 scopus 로고    scopus 로고
    • Exponential stability analysis for discrete-time switched linear systems with time-delay
    • Dec
    • R. Wang and J. Zhao, "Exponential stability analysis for discrete-time switched linear systems with time-delay," Int. J. Innov. Comput. Inf. Control, vol. 3, no. 6(B), pp. 1557-1564, Dec. 2007.
    • (2007) Int. J. Innov. Comput. Inf. Control , vol.3 , Issue.6 B , pp. 1557-1564
    • Wang, R.1    Zhao, J.2
  • 27
    • 0026910256 scopus 로고
    • Robust control of a class of uncertain nonlinear systems
    • Aug
    • Y. Wang, L. Xie, and C. E. D. Souza, "Robust control of a class of uncertain nonlinear systems," Syst. Control Lett., vol. 19, no. 2, pp. 139-149, Aug. 1992.
    • (1992) Syst. Control Lett , vol.19 , Issue.2 , pp. 139-149
    • Wang, Y.1    Xie, L.2    Souza, C.E.D.3
  • 28
    • 33646371219 scopus 로고    scopus 로고
    • Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays
    • Jun
    • Z. Wang, Y. Liu, K. Fraser, and X. Liu, "Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays," Phys. Lett. A, vol. 354, no. 4, pp. 288-297, Jun. 2006.
    • (2006) Phys. Lett. A , vol.354 , Issue.4 , pp. 288-297
    • Wang, Z.1    Liu, Y.2    Fraser, K.3    Liu, X.4
  • 29
    • 33646512597 scopus 로고    scopus 로고
    • Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays
    • May
    • Z. Wang, Y. Liu, M. Li, and X. Liu, "Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays," IEEE Trans. Neural Netw., vol. 17, no. 3, pp. 814-820, May 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.3 , pp. 814-820
    • Wang, Z.1    Liu, Y.2    Li, M.3    Liu, X.4
  • 30
    • 33745158646 scopus 로고    scopus 로고
    • Robust stability for stochastic Hopfield neural networks with time delays
    • Dec
    • Z. Wang, H. Shu, J. Fang, and X. Liu, "Robust stability for stochastic Hopfield neural networks with time delays," Nonlinear Anal.: Real World Appl., vol. 7, no. 5, pp. 1119-1128, Dec. 2006.
    • (2006) Nonlinear Anal.: Real World Appl , vol.7 , Issue.5 , pp. 1119-1128
    • Wang, Z.1    Shu, H.2    Fang, J.3    Liu, X.4
  • 31
    • 0038344694 scopus 로고    scopus 로고
    • Global asymptotic stability of high-order Hopfield type neural networks with time delays
    • May
    • B. Xu, X. Liu, and X. Liao, "Global asymptotic stability of high-order Hopfield type neural networks with time delays," Comput. Math. Appl. vol. 45, no. 10, pp. 1729-1737, May 2003.
    • (2003) Comput. Math. Appl , vol.45 , Issue.10 , pp. 1729-1737
    • Xu, B.1    Liu, X.2    Liao, X.3
  • 32
    • 33644993005 scopus 로고    scopus 로고
    • A new LMI condition for delay-dependent asymptotic stability of delayed Hopfield neural networks
    • Mar
    • S. Xu, J. Lam, and D. W. C. Ho, "A new LMI condition for delay-dependent asymptotic stability of delayed Hopfield neural networks," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 53, no. 3, pp. 230-234, Mar. 2006.
    • (2006) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.53 , Issue.3 , pp. 230-234
    • Xu, S.1    Lam, J.2    Ho, D.W.C.3
  • 33
    • 0000791959 scopus 로고
    • Global stability and local stability of Hopfield neural networks with delays
    • Nov
    • H. Ye, A. Michel, and K. Wang, "Global stability and local stability of Hopfield neural networks with delays," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 50, no. 5, pp. 4026-4213, Nov. 1994.
    • (1994) Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top , vol.50 , Issue.5 , pp. 4026-4213
    • Ye, H.1    Michel, A.2    Wang, K.3
  • 34
    • 0031103562 scopus 로고    scopus 로고
    • Object recognition using multilayer Hopfield neural network
    • Mar
    • S. Young, P. Scott, and N. Nasrabadi, "Object recognition using multilayer Hopfield neural network," IEEE Trans. Image Process., vol. 6, no. 3, pp. 357-372, Mar. 1997.
    • (1997) IEEE Trans. Image Process , vol.6 , Issue.3 , pp. 357-372
    • Young, S.1    Scott, P.2    Nasrabadi, N.3
  • 35
    • 21044455163 scopus 로고    scopus 로고
    • Global stability of delayed Hopfield neural networks under dynamical thresholds
    • Jan
    • F. Zhang and H. Huo, "Global stability of delayed Hopfield neural networks under dynamical thresholds," Discrete Dyn. Nat. Soc., vol. 2005, no. 1, pp. 1-17, Jan. 2005.
    • (2005) Discrete Dyn. Nat. Soc , vol.2005 , Issue.1 , pp. 1-17
    • Zhang, F.1    Huo, H.2
  • 36
    • 34047244923 scopus 로고    scopus 로고
    • Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays
    • Sep
    • J. Zhang, P. Shi, and J. Qiu, "Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays," Nonlinear Anal.: Real World Appl., vol. 8, no. 4, pp. 1349-1357, Sep. 2007.
    • (2007) Nonlinear Anal.: Real World Appl , vol.8 , Issue.4 , pp. 1349-1357
    • Zhang, J.1    Shi, P.2    Qiu, J.3
  • 37
    • 17144447264 scopus 로고    scopus 로고
    • Global asymptotic stability of Hopfield neural networks with transmission delays
    • Nov
    • Q. Zhang, X. Wei, and J. Xu, "Global asymptotic stability of Hopfield neural networks with transmission delays," Phys. Lett. A, vol. 318, no. 4/5, pp. 399-405, Nov. 2003.
    • (2003) Phys. Lett. A , vol.318 , Issue.4-5 , pp. 399-405
    • Zhang, Q.1    Wei, X.2    Xu, J.3
  • 38
    • 0347511634 scopus 로고    scopus 로고
    • Global asymptotic stability of Hopfield neural network involving distributed delays
    • Jan
    • H. Zhao, "Global asymptotic stability of Hopfield neural network involving distributed delays," Neural Netw., vol. 17, no. 1, pp. 47-53, Jan. 2004.
    • (2004) Neural Netw , vol.17 , Issue.1 , pp. 47-53
    • Zhao, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.