메뉴 건너뛰기




Volumn 38, Issue 4, 2008, Pages 1152-1156

Exponential stability analysis for neural networks with time-varying delay

Author keywords

Exponential stability; Linear matrix inequality (LMI); Neural networks; Time varying delay

Indexed keywords

ARTIFICIAL INTELLIGENCE; MATHEMATICAL PROGRAMMING; MATRIX ALGEBRA; OPTICAL BISTABILITY; REINFORCEMENT; REINFORCEMENT LEARNING; STABILITY CRITERIA; SYSTEMS ENGINEERING; THREE TERM CONTROL SYSTEMS; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS; TIME VARYING SYSTEMS;

EID: 49049108880     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2008.915652     Document Type: Article
Times cited : (95)

References (42)
  • 1
    • 0024088955 scopus 로고
    • Cellular neural networks: Theory
    • Oct
    • L. Chua and L. Yang, "Cellular neural networks: Theory," IEEE Trans. Circuits Syst., vol. 35, no. 10, pp. 1257-1272, Oct. 1988.
    • (1988) IEEE Trans. Circuits Syst , vol.35 , Issue.10 , pp. 1257-1272
    • Chua, L.1    Yang, L.2
  • 3
    • 0030087313 scopus 로고    scopus 로고
    • Global exponential stability and periodic solutions of delay Hopfield neural networks
    • Y. Zhang, "Global exponential stability and periodic solutions of delay Hopfield neural networks," Int. J. Syst. Sci., vol. 27, no. 2, pp. 227-231, 1996.
    • (1996) Int. J. Syst. Sci , vol.27 , Issue.2 , pp. 227-231
    • Zhang, Y.1
  • 4
    • 28244432161 scopus 로고    scopus 로고
    • Exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays
    • Nov
    • X. L. Liu and K. L. Teo, "Exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays," IEEE Trans. Neural Netw., vol. 16, no. 6, pp. 1329-1339, Nov. 2005.
    • (2005) IEEE Trans. Neural Netw , vol.16 , Issue.6 , pp. 1329-1339
    • Liu, X.L.1    Teo, K.L.2
  • 5
    • 15944420497 scopus 로고    scopus 로고
    • Global asymptotic stability and global exponential stability of neural networks with unbounded timevarying delays
    • Mar
    • Z. G. Zeng, J. Wang, and X. X. Liao, "Global asymptotic stability and global exponential stability of neural networks with unbounded timevarying delays," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 52, no. 3, pp. 168-173, Mar. 2005.
    • (2005) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.52 , Issue.3 , pp. 168-173
    • Zeng, Z.G.1    Wang, J.2    Liao, X.X.3
  • 6
    • 33750116428 scopus 로고    scopus 로고
    • Global exponential stability of multitime scale competitive neural networks with nonsmooth functions
    • Sep
    • H. T. Lu and S. I. Amari, "Global exponential stability of multitime scale competitive neural networks with nonsmooth functions," IEEE Trans. Neural Netw., vol. 17, no. 5, pp. 1152-1164, Sep. 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.5 , pp. 1152-1164
    • Lu, H.T.1    Amari, S.I.2
  • 7
    • 33646523344 scopus 로고    scopus 로고
    • Improved conditions for global exponential stability of recurrent neural networks with time-varying delays
    • May
    • Z. G. Zeng and J. Wang, "Improved conditions for global exponential stability of recurrent neural networks with time-varying delays," IEEE Trans. Neural Netw., vol. 17, no. 3, pp. 623-635, May 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.3 , pp. 623-635
    • Zeng, Z.G.1    Wang, J.2
  • 8
    • 0033332523 scopus 로고    scopus 로고
    • Estimate of exponential convergence rate and exponential stability for neural networks
    • Nov
    • Y. Zhang, P. A. Heng, and A. W. C. Fu, "Estimate of exponential convergence rate and exponential stability for neural networks," IEEE Trans. Neural Netw., vol. 10, no. 6, pp. 1487-1493, Nov. 1999.
    • (1999) IEEE Trans. Neural Netw , vol.10 , Issue.6 , pp. 1487-1493
    • Zhang, Y.1    Heng, P.A.2    Fu, A.W.C.3
  • 9
    • 45149091985 scopus 로고    scopus 로고
    • Neural networks based system identification techniques for model based fault detection of nonlinear systems
    • Oct
    • A. Fekih, H. Xu, and F. Chowdhury, "Neural networks based system identification techniques for model based fault detection of nonlinear systems," Int. J. Innovative Comput., Inf. Control, vol. 3, no. 5, pp. 1073-1085, Oct. 2007.
    • (2007) Int. J. Innovative Comput., Inf. Control , vol.3 , Issue.5 , pp. 1073-1085
    • Fekih, A.1    Xu, H.2    Chowdhury, F.3
  • 10
    • 0033730279 scopus 로고    scopus 로고
    • On the global asymptotic stability of delayed cellular neural networks
    • Apr
    • S. Arik and V. Tavsanoglu, "On the global asymptotic stability of delayed cellular neural networks," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 47, no. 4, pp. 571-574, Apr. 2000.
    • (2000) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.47 , Issue.4 , pp. 571-574
    • Arik, S.1    Tavsanoglu, V.2
  • 11
    • 33749386815 scopus 로고    scopus 로고
    • Globally asymptotic stability of a class of neutral-type neural networks with delays
    • Oct
    • C. J. Cheng, T. L. Liao, J. J. Yan, and C.-C. Hwang, "Globally asymptotic stability of a class of neutral-type neural networks with delays," IEEE Trans. Syst., Man Cybern. B, Cybern., vol. 36, no. 5, pp. 1191-1195, Oct. 2006.
    • (2006) IEEE Trans. Syst., Man Cybern. B, Cybern , vol.36 , Issue.5 , pp. 1191-1195
    • Cheng, C.J.1    Liao, T.L.2    Yan, J.J.3    Hwang, C.-C.4
  • 12
    • 34249053502 scopus 로고    scopus 로고
    • Impulsive effects on stability of fuzzy Cohen-Grossberg neural networks with time-varying delays
    • Jun
    • Q. K. Song and J. Cao, "Impulsive effects on stability of fuzzy Cohen-Grossberg neural networks with time-varying delays," IEEE Trans. Syst., Man Cybern. B, Cybern., vol. 37, no. 3, pp. 733-781, Jun. 2007.
    • (2007) IEEE Trans. Syst., Man Cybern. B, Cybern , vol.37 , Issue.3 , pp. 733-781
    • Song, Q.K.1    Cao, J.2
  • 13
    • 0035303488 scopus 로고    scopus 로고
    • A set of stability criteria for delayed cellular neural networks
    • Apr
    • J. Cao, "A set of stability criteria for delayed cellular neural networks," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 4, pp. 494-498, Apr. 2001.
    • (2001) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.48 , Issue.4 , pp. 494-498
    • Cao, J.1
  • 14
    • 0036691904 scopus 로고    scopus 로고
    • An improved global stability result for delayed cellular neural networks
    • Aug
    • S. Arik, "An improved global stability result for delayed cellular neural networks," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. vol. 49, no. 8, pp. 1211-1214, Aug. 2002.
    • (2002) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.49 , Issue.8 , pp. 1211-1214
    • Arik, S.1
  • 15
    • 0036737354 scopus 로고    scopus 로고
    • An analysis of global asymptotic stability of delayed cellular neural networks
    • Sep
    • S. Arik, "An analysis of global asymptotic stability of delayed cellular neural networks," IEEE Trans. Neural Netw., vol. 13, no. 5, pp. 1239-1242, Sep. 2002.
    • (2002) IEEE Trans. Neural Netw , vol.13 , Issue.5 , pp. 1239-1242
    • Arik, S.1
  • 16
    • 0036755232 scopus 로고    scopus 로고
    • Delay-dependent exponential stability analysis of delayed neural networks: An LMI approach
    • Sep
    • X. F. Liao, G. Chen, and E. N. Sanchez, "Delay-dependent exponential stability analysis of delayed neural networks: An LMI approach," Neural Netw., vol. 15, no. 7, pp. 855-866, Sep. 2002.
    • (2002) Neural Netw , vol.15 , Issue.7 , pp. 855-866
    • Liao, X.F.1    Chen, G.2    Sanchez, E.N.3
  • 18
    • 0037216938 scopus 로고    scopus 로고
    • Global robust stability of delayed neural networks
    • Jan
    • S. Arik, "Global robust stability of delayed neural networks," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 1, pp. 156-160, Jan. 2003.
    • (2003) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.50 , Issue.1 , pp. 156-160
    • Arik, S.1
  • 19
    • 0242608076 scopus 로고    scopus 로고
    • Global asymptotic stability of a larger class of neural networks with constant time-delays
    • May
    • S. Arik, "Global asymptotic stability of a larger class of neural networks with constant time-delays," Phys. Lett. A, vol. 311, no. 6, pp. 504-511, May 2003.
    • (2003) Phys. Lett. A , vol.311 , Issue.6 , pp. 504-511
    • Arik, S.1
  • 20
    • 33847747546 scopus 로고    scopus 로고
    • Memory state feedback guaranteed cost control for neutral delay systems
    • Apr
    • B. Chen, J. Lam, and S. Xu, "Memory state feedback guaranteed cost control for neutral delay systems," Int. J. Innovative Comput., Inf. Control, vol. 2, no. 2, pp. 293-303, Apr. 2006.
    • (2006) Int. J. Innovative Comput., Inf. Control , vol.2 , Issue.2 , pp. 293-303
    • Chen, B.1    Lam, J.2    Xu, S.3
  • 21
    • 33947112044 scopus 로고    scopus 로고
    • Robust stability of switched Cohen-Grossberg neural networks with mixed time-varying delays
    • Dec
    • K. Yuan, J. Cao, and H. X. Li, "Robust stability of switched Cohen-Grossberg neural networks with mixed time-varying delays," IEEE Trans. Syst., Man Cybern. B, Cybern., vol. 36, no. 6, pp. 1356-1363, Dec. 2006.
    • (2006) IEEE Trans. Syst., Man Cybern. B, Cybern , vol.36 , Issue.6 , pp. 1356-1363
    • Yuan, K.1    Cao, J.2    Li, H.X.3
  • 22
    • 34047141013 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of neural networks with variable delay: An LMI approach
    • Sep
    • W. H. Chen, X. M. Lu, Z. H. Guan, and W. X. Zheng, "Delay-dependent exponential stability of neural networks with variable delay: An LMI approach," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 53, no. 9, pp. 837-842, Sep. 2006.
    • (2006) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.53 , Issue.9 , pp. 837-842
    • Chen, W.H.1    Lu, X.M.2    Guan, Z.H.3    Zheng, W.X.4
  • 23
    • 33144454968 scopus 로고    scopus 로고
    • An improved global asymptotic stability criterion for delayed cellar neural networks
    • Jan
    • Y. He, M. Wu, and J. H. She, "An improved global asymptotic stability criterion for delayed cellar neural networks," IEEE Trans. Neural Netw., vol. 17, no. 1, pp. 250-252, Jan. 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.1 , pp. 250-252
    • He, Y.1    Wu, M.2    She, J.H.3
  • 24
    • 1842587731 scopus 로고    scopus 로고
    • Robust stability of interval bidirectional associative memory neural network with time delays
    • Apr
    • X. F. Liao and K. K. Wong, "Robust stability of interval bidirectional associative memory neural network with time delays," IEEE Trans. Syst., Man Cybern. B, Cybern., vol. 34, no. 2, pp. 1142-1154, Apr. 2004.
    • (2004) IEEE Trans. Syst., Man Cybern. B, Cybern , vol.34 , Issue.2 , pp. 1142-1154
    • Liao, X.F.1    Wong, K.K.2
  • 25
    • 1242331018 scopus 로고    scopus 로고
    • A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks
    • Jan
    • V. Singh, "A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks," IEEE Trans. Neural Netw., vol. 15, no. 1, pp. 223-225, Jan. 2004.
    • (2004) IEEE Trans. Neural Netw , vol.15 , Issue.1 , pp. 223-225
    • Singh, V.1
  • 26
    • 12544252350 scopus 로고    scopus 로고
    • Global robust stability of delayed neural networks: An LMI approach
    • Jan
    • V. Singh, "Global robust stability of delayed neural networks: An LMI approach," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 52, no. 1, pp. 33-36, Jan. 2005.
    • (2005) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.52 , Issue.1 , pp. 33-36
    • Singh, V.1
  • 27
    • 6344254943 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of cellular neural networks with time-varying delays
    • Feb
    • Q. Zhang, X. Wei, and J. Xu, "Delay-dependent exponential stability of cellular neural networks with time-varying delays," Chaos, Solitons Fractals, vol. 23, no. 4, pp. 1363-1369, Feb. 2005.
    • (2005) Chaos, Solitons Fractals , vol.23 , Issue.4 , pp. 1363-1369
    • Zhang, Q.1    Wei, X.2    Xu, J.3
  • 28
    • 15944385243 scopus 로고    scopus 로고
    • New results for exponential stability of delayed cellular neural networks
    • Mar
    • V. Senan and S. Arik, "New results for exponential stability of delayed cellular neural networks," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 52, no. 3, pp. 154-158, Mar. 2005.
    • (2005) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.52 , Issue.3 , pp. 154-158
    • Senan, V.1    Arik, S.2
  • 29
    • 27544455469 scopus 로고    scopus 로고
    • An improved result for complete stability of delayed cellular neural networks
    • Q. Zhang, X. Wei, and J. Xu, "An improved result for complete stability of delayed cellular neural networks," Automatica, vol. 41, no. 2, pp. 333-337, 2005.
    • (2005) Automatica , vol.41 , Issue.2 , pp. 333-337
    • Zhang, Q.1    Wei, X.2    Xu, J.3
  • 30
    • 29144475136 scopus 로고    scopus 로고
    • Improved global robust asymptotic stability criteria for delayed cellular neural networks
    • Dec
    • S. Xu, J. Lam, D. W. C. Ho, and Y. Zou, "Improved global robust asymptotic stability criteria for delayed cellular neural networks," IEEE Trans. Syst., Man Cybern. B, Cybern., vol. 35, no. 6, pp. 1317-1321, Dec. 2005.
    • (2005) IEEE Trans. Syst., Man Cybern. B, Cybern , vol.35 , Issue.6 , pp. 1317-1321
    • Xu, S.1    Lam, J.2    Ho, D.W.C.3    Zou, Y.4
  • 31
    • 17844406403 scopus 로고    scopus 로고
    • Globally exponential stability condition of a class of neural networks with time-varying delays
    • May
    • T. L. Liao, J. J. Yan, C. J. Cheng, and C. C. Hwang, "Globally exponential stability condition of a class of neural networks with time-varying delays," Phys. Lett. A, vol. 339, no. 3-5, pp. 333-342, May 2005.
    • (2005) Phys. Lett. A , vol.339 , Issue.3-5 , pp. 333-342
    • Liao, T.L.1    Yan, J.J.2    Cheng, C.J.3    Hwang, C.C.4
  • 32
    • 30644470855 scopus 로고    scopus 로고
    • Global exponential stability analysis of Cohen-Grossberg neural networks
    • Aug
    • H. T. Lu, "Global exponential stability analysis of Cohen-Grossberg neural networks," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 52, no. 8, pp. 476-479, Aug. 2005.
    • (2005) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.52 , Issue.8 , pp. 476-479
    • Lu, H.T.1
  • 33
    • 20144369395 scopus 로고    scopus 로고
    • Global exponential stability and periodicity of recurrent neural networks with time delays
    • May
    • J. Cao and J. Wang, "Global exponential stability and periodicity of recurrent neural networks with time delays," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 52, no. 5, pp. 920-931, May 2005.
    • (2005) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.52 , Issue.5 , pp. 920-931
    • Cao, J.1    Wang, J.2
  • 34
    • 34047260556 scopus 로고    scopus 로고
    • An analysis on existence and global exponential stability of periodic solutions for BAM neutral networks with time-varying delays
    • Sep
    • Q. K. Song and Z. D. Wang, "An analysis on existence and global exponential stability of periodic solutions for BAM neutral networks with time-varying delays," Nonlinear Anal.: Real World Appl., vol. 8, no. 4, pp. 1224-1234, Sep. 2007.
    • (2007) Nonlinear Anal.: Real World Appl , vol.8 , Issue.4 , pp. 1224-1234
    • Song, Q.K.1    Wang, Z.D.2
  • 35
    • 34249035773 scopus 로고    scopus 로고
    • Stability analysis of Takagi-Sugeno fuzzy cellular neural networks with time-varying delays
    • Jun
    • Y. Y. Hou, T. L. Liao, and J. J. Yan, "Stability analysis of Takagi-Sugeno fuzzy cellular neural networks with time-varying delays," IEEE Trans. Syst., Man Cybern. B, Cybern., vol. 37, no. 3, pp. 720-726, Jun. 2007.
    • (2007) IEEE Trans. Syst., Man Cybern. B, Cybern , vol.37 , Issue.3 , pp. 720-726
    • Hou, Y.Y.1    Liao, T.L.2    Yan, J.J.3
  • 36
    • 0242659944 scopus 로고    scopus 로고
    • Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays
    • Jan
    • Y. He, M. Wu, J. H. She, and G. P. Liu, "Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays," Syst. Control Lett., vol. 51, no. 1, pp. 57-65, Jan. 2004.
    • (2004) Syst. Control Lett , vol.51 , Issue.1 , pp. 57-65
    • He, Y.1    Wu, M.2    She, J.H.3    Liu, G.P.4
  • 37
    • 2942594461 scopus 로고    scopus 로고
    • Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties
    • May
    • Y. He, M. Wu, J. H. She, and G. P. Liu, "Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties," IEEE Trans. Autom. Control, vol. 49, no. 5, pp. 828-832, May 2004.
    • (2004) IEEE Trans. Autom. Control , vol.49 , Issue.5 , pp. 828-832
    • He, Y.1    Wu, M.2    She, J.H.3    Liu, G.P.4
  • 38
    • 33746364170 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of delayed neural networks with time-varying delay
    • Jul
    • Y. He, M. Wu, and J. H. She, "Delay-dependent exponential stability of delayed neural networks with time-varying delay," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 53, no. 7, pp. 553-557, Jul. 2006.
    • (2006) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.53 , Issue.7 , pp. 553-557
    • He, Y.1    Wu, M.2    She, J.H.3
  • 39
    • 33947427956 scopus 로고    scopus 로고
    • Further improvement of free-weighting matrices technique for systems with time-varying delay
    • Feb
    • Y. He, Q. G. Wang, L. H. Xie, and C. Lin, "Further improvement of free-weighting matrices technique for systems with time-varying delay," IEEE Trans. Autom. Control, vol. 52, no. 2, pp. 293-299, Feb. 2007.
    • (2007) IEEE Trans. Autom. Control , vol.52 , Issue.2 , pp. 293-299
    • He, Y.1    Wang, Q.G.2    Xie, L.H.3    Lin, C.4
  • 40
    • 33846047356 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for neutral networks with time-varying delay
    • Jan
    • Y. He, G. P. Liu, and D. Rees, "New delay-dependent stability criteria for neutral 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.P.2    Rees, D.3
  • 41
    • 0032204104 scopus 로고    scopus 로고
    • Delay-dependent robust stabilization of uncertain systems with multiple state delays
    • Nov
    • Y. Y. Cao, Y. X. Sun, and C. W. Cheng, "Delay-dependent robust stabilization of uncertain systems with multiple state delays," IEEE Trans. Autom. Control, vol. 43, no. 11, pp. 1608-1612, Nov. 1998.
    • (1998) IEEE Trans. Autom. Control , vol.43 , Issue.11 , pp. 1608-1612
    • Cao, Y.Y.1    Sun, Y.X.2    Cheng, C.W.3
  • 42
    • 33644983182 scopus 로고    scopus 로고
    • New results on stability analysis of neural networks with time-varying delays
    • Apr
    • C. C. Hua, C. N. Long, and X. P. Guan, "New results on stability analysis of neural networks with time-varying delays," Phys. Lett. A vol. 352, no. 4/5, pp. 335-340, Apr. 2006.
    • (2006) Phys. Lett. A , vol.352 , Issue.4-5 , pp. 335-340
    • Hua, C.C.1    Long, C.N.2    Guan, X.P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.