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Volumn 198, Issue 2, 2008, Pages 526-533

Delay-dependent asymptotic stability for stochastic delayed recurrent neural networks with time varying delays

Author keywords

Delayed recurrent neural networks; Global asymptotic stability; Linear matrix inequality; Lyapunov functional; Stochastic delay differential equations

Indexed keywords

ASYMPTOTIC STABILITY; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; STOCHASTIC CONTROL SYSTEMS; TIME VARYING NETWORKS;

EID: 40849113616     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.08.053     Document Type: Article
Times cited : (101)

References (24)
  • 1
    • 0037216976 scopus 로고    scopus 로고
    • Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
    • Cao J., and Wang J. Global asymptotic stability of a general class of recurrent neural networks with time-varying delays. IEEE Trans. Circuits. Syst. I 50 (2003) 34-44
    • (2003) IEEE Trans. Circuits. Syst. I , vol.50 , pp. 34-44
    • Cao, J.1    Wang, J.2
  • 2
    • 17844365843 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of uncertain stochastic systems with multiple delays: an LMI approach
    • Chen W., Guan Z., and Liu X. Delay-dependent exponential stability of uncertain stochastic systems with multiple delays: an LMI approach. Syst. Control lett. 54 (2005) 547-555
    • (2005) Syst. Control lett. , vol.54 , pp. 547-555
    • Chen, W.1    Guan, Z.2    Liu, X.3
  • 3
    • 3042773378 scopus 로고    scopus 로고
    • ∞ control of uncertain discrete-time Markovian jump systems with with mode-dependent time-delays
    • ∞ control of uncertain discrete-time Markovian jump systems with with mode-dependent time-delays. Syst. Control lett. 52 (2004) 361-376
    • (2004) Syst. Control lett. , vol.52 , pp. 361-376
    • Chen, W.1    Guan, Z.2    Yu, P.3
  • 4
    • 0347316618 scopus 로고    scopus 로고
    • Guaranteed cost control for uncertain Markovian jump systems with mode-dependent time-delays
    • Chen W., Xu J., and Guan Z. Guaranteed cost control for uncertain Markovian jump systems with mode-dependent time-delays. IEEE Trans. Automat. Control 48 (2003) 2270-2276
    • (2003) IEEE Trans. Automat. Control , vol.48 , pp. 2270-2276
    • Chen, W.1    Xu, J.2    Guan, Z.3
  • 5
    • 0024092072 scopus 로고
    • Cellular neural networks: theory and applications
    • Chua L.O., and Yang L. Cellular neural networks: theory and applications. IEEE Trans. Circuit. Syst. I 35 (1988) 1257-1290
    • (1988) IEEE Trans. Circuit. Syst. I , vol.35 , pp. 1257-1290
    • Chua, L.O.1    Yang, L.2
  • 6
    • 26444565569 scopus 로고
    • Finding structure in time
    • Elman J.L. Finding structure in time. Cognitive sci. 14 (1990) 179-211
    • (1990) Cognitive sci. , vol.14 , pp. 179-211
    • Elman, J.L.1
  • 7
    • 0034915494 scopus 로고    scopus 로고
    • New Lyapunov-Krasovskii functionals for stability of linear retard and neutral type systems
    • Fridman E. New Lyapunov-Krasovskii functionals for stability of linear retard and neutral type systems. Syst. Control lett. 43 (2001) 309-319
    • (2001) Syst. Control lett. , vol.43 , pp. 309-319
    • Fridman, E.1
  • 9
    • 20444396501 scopus 로고    scopus 로고
    • Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays
    • Huang H., Ho D.W.C., and Lam J. Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays. IEEE Trans. Circuit. Sys. II 52 (2005) 251-255
    • (2005) IEEE Trans. Circuit. Sys. II , vol.52 , pp. 251-255
    • Huang, H.1    Ho, D.W.C.2    Lam, J.3
  • 11
    • 0002796189 scopus 로고    scopus 로고
    • Exponential stability of stochastic delay interval systems
    • Liao X., and Mao X. Exponential stability of stochastic delay interval systems. Syst. Control lett. 40 (2000) 171-181
    • (2000) Syst. Control lett. , vol.40 , pp. 171-181
    • Liao, X.1    Mao, X.2
  • 12
    • 0031200034 scopus 로고    scopus 로고
    • Delay dependent robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality approach
    • Li X., and de Souza C.E. Delay dependent robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality approach. IEEE Trans. Automat. Control 42 (1997) 1144-1148
    • (1997) IEEE Trans. Automat. Control , vol.42 , pp. 1144-1148
    • Li, X.1    de Souza, C.E.2
  • 13
    • 0030107717 scopus 로고    scopus 로고
    • Robustness of exponential stability of stochastic differential delay equations
    • Mao X. Robustness of exponential stability of stochastic differential delay equations. IEEE Trans. Automat. Control 41 (1996) 442-447
    • (1996) IEEE Trans. Automat. Control , vol.41 , pp. 442-447
    • Mao, X.1
  • 14
    • 0035922479 scopus 로고    scopus 로고
    • Delay-dependent robust stabilization of uncertain state-delayed systems
    • Moon Y.S., Park P., Kwon W.H., and Lee Y.S. Delay-dependent robust stabilization of uncertain state-delayed systems. Int. J. Control 74 (2001) 1447-1455
    • (2001) Int. J. Control , vol.74 , pp. 1447-1455
    • Moon, Y.S.1    Park, P.2    Kwon, W.H.3    Lee, Y.S.4
  • 15
    • 0000256610 scopus 로고
    • Stability of analog neural networks with delays
    • Marcus C.M., and Westervelt R.M. Stability of analog neural networks with delays. Phys. Rev. A 39 (1989) 347-359
    • (1989) Phys. Rev. A , vol.39 , pp. 347-359
    • Marcus, C.M.1    Westervelt, R.M.2
  • 16
    • 0035872162 scopus 로고    scopus 로고
    • On delay-dependent stability under model transformation of some neutral linear systems
    • Niculescu S.L. On delay-dependent stability under model transformation of some neutral linear systems. Int. J. Control 74 (2001) 609-617
    • (2001) Int. J. Control , vol.74 , pp. 609-617
    • Niculescu, S.L.1
  • 17
    • 40849111147 scopus 로고    scopus 로고
    • A.P. Paplinski, Lecture Notes on Feedforward Multilayer Neural Networks, NNet(L.5) 2004.
    • A.P. Paplinski, Lecture Notes on Feedforward Multilayer Neural Networks, NNet(L.5) 2004.
  • 18
    • 0032665002 scopus 로고    scopus 로고
    • A delay-dependent stability criterion for systems with uncertain time-invariant delays
    • Park P. A delay-dependent stability criterion for systems with uncertain time-invariant delays. IEEE Trans. Automat. Control 44 (1999) 876-877
    • (1999) IEEE Trans. Automat. Control , vol.44 , pp. 876-877
    • Park, P.1
  • 19
    • 0035501474 scopus 로고    scopus 로고
    • A new delay dependent criterion for neutral systems with multiple delays
    • Park J.H. A new delay dependent criterion for neutral systems with multiple delays. J. Comput. Appl. Math 136 (2001) 177-184
    • (2001) J. Comput. Appl. Math , vol.136 , pp. 177-184
    • Park, J.H.1
  • 20
    • 0026882236 scopus 로고
    • Stability and dynamics of delay-type cellular neural networks
    • Roska T., Wu C.W., Balsi M., and Chua L.O. Stability and dynamics of delay-type cellular neural networks. IEEE Trans. Circuits. Syst. 39 (1990) 487-490
    • (1990) IEEE Trans. Circuits. Syst. , vol.39 , pp. 487-490
    • Roska, T.1    Wu, C.W.2    Balsi, M.3    Chua, L.O.4
  • 21
    • 40849106135 scopus 로고    scopus 로고
    • Q. Song, Z. Wang, Neural networks with discrete and distributed time-varying delays: A general stability analysis, Chaos Soliton. Fract., in press.
    • Q. Song, Z. Wang, Neural networks with discrete and distributed time-varying delays: A general stability analysis, Chaos Soliton. Fract., in press.
  • 22
    • 14644389415 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of stochastic systems with time varying delay, nonlinearity, and Markovian switching
    • Yue D., and Han Q. Delay-dependent exponential stability of stochastic systems with time varying delay, nonlinearity, and Markovian switching. IEEE Trans. Automat. Control 50 (2005) 217-222
    • (2005) IEEE Trans. Automat. Control , vol.50 , pp. 217-222
    • Yue, D.1    Han, Q.2
  • 23
    • 0035913133 scopus 로고    scopus 로고
    • Delay-dependent robust stability of stochastic systems with time delay and nonlinear uncertainties
    • Yue D., and Won S. Delay-dependent robust stability of stochastic systems with time delay and nonlinear uncertainties. IEE Electron. Lett. 37 (2001) 992-993
    • (2001) IEE Electron. Lett. , vol.37 , pp. 992-993
    • Yue, D.1    Won, S.2
  • 24
    • 6344254943 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of cellular neural networks with time-varying delays
    • Zhang Q., Wei X., and Xu J. Delay-dependent exponential stability of cellular neural networks with time-varying delays. Chaos Soliton. Fract. 23 (2005) 1363-1369
    • (2005) Chaos Soliton. Fract. , vol.23 , pp. 1363-1369
    • Zhang, Q.1    Wei, X.2    Xu, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.