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Volumn 73, Issue 1-3, 2009, Pages 331-335

Novel robust exponential stability criteria for neural networks

Author keywords

Global exponential stability; Interval time varying delay; LMIs; Neural networks (NNs)

Indexed keywords

ACTIVATION FUNCTIONS; COMPACT SETS; DELAY DEPENDENT; GLOBAL EXPONENTIAL STABILITY; INTEGRAL INEQUALITIES; INTERVAL TIME-VARYING DELAY; INTERVAL TIME-VARYING DELAYS; LMIS; LOWER AND UPPER BOUNDS; LYAPUNOV-KRASOVSKII FUNCTIONALS; NUMERICAL EXAMPLE; ROBUST EXPONENTIAL STABILITY; STABILITY RESULTS; TIME VARYING; TIME-VARYING DELAY; UNCERTAIN NEURAL NETWORKS; UNCERTAIN PARAMETERS;

EID: 70350714107     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2009.08.010     Document Type: Article
Times cited : (8)

References (27)
  • 1
    • 4143115663 scopus 로고    scopus 로고
    • An analysis of exponential stability of delayed neural networks with time-varying delays
    • Arik S. An analysis of exponential stability of delayed neural networks with time-varying delays. Neural Networks 17 (2004) 1027-1031
    • (2004) Neural Networks , vol.17 , pp. 1027-1031
    • Arik, S.1
  • 3
    • 20144369395 scopus 로고    scopus 로고
    • Global exponential stability and periodicity of recurrent neural networks with time-delays
    • Cao J.D., and Wang L. Global exponential stability and periodicity of recurrent neural networks with time-delays. IEEE Trans. Circuits Syst. I 52 5 (2005) 920-931
    • (2005) IEEE Trans. Circuits Syst. I , vol.52 , Issue.5 , pp. 920-931
    • Cao, J.D.1    Wang, L.2
  • 4
    • 33845404228 scopus 로고    scopus 로고
    • Global exponential stability for uncertain cellular neural networks with multiple time-varying delays via LMI approach
    • Cau R., Lien C., and Hsieh J.W. Global exponential stability for uncertain cellular neural networks with multiple time-varying delays via LMI approach. Chaos Solitons Fractals 31 4 (2007) 1258-1267
    • (2007) Chaos Solitons Fractals , vol.31 , Issue.4 , pp. 1258-1267
    • Cau, R.1    Lien, C.2    Hsieh, J.W.3
  • 6
    • 33746364170 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of delayed neural networks with time-varying delays
    • He Y., Wu M., and She J.H. Delay-dependent exponential stability of delayed neural networks with time-varying delays. IEEE Trans. Circuits Syst. II Exp. Briefs 53 7 (2006) 553-557
    • (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
  • 7
    • 33846047356 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for neutral networks with time-varying delays
    • He Y., Liu G.P., and Rees D. New delay-dependent stability criteria for neutral networks with time-varying delays. IEEE Trans. Neural Networks 18 1 (2007) 310-314
    • (2007) IEEE Trans. Neural Networks , vol.18 , Issue.1 , pp. 310-314
    • He, Y.1    Liu, G.P.2    Rees, D.3
  • 8
    • 56949107715 scopus 로고    scopus 로고
    • Novel stability of cellular neural networks with interval time-varying delay
    • Hu L., Gao H., and Zheng W.X. Novel stability of cellular neural networks with interval time-varying delay. Neural Networks 21 10 (2008) 1458-1463
    • (2008) Neural Networks , vol.21 , Issue.10 , pp. 1458-1463
    • Hu, L.1    Gao, H.2    Zheng, W.X.3
  • 9
    • 33644983182 scopus 로고    scopus 로고
    • New results on stability analysis of neural networks with time-varying delays
    • Hua C.C., Long C.N., and Guan X.P. New results on stability analysis of neural networks with time-varying delays. Phys. Lett. A 352 (2006) 335-340
    • (2006) Phys. Lett. A , vol.352 , pp. 335-340
    • Hua, C.C.1    Long, C.N.2    Guan, X.P.3
  • 10
    • 70350729626 scopus 로고    scopus 로고
    • New delay-dependent robust stability criterion for uncertain neural networks with time-varying delays
    • Kown O.M., and Paek J.H. New delay-dependent robust stability criterion for uncertain neural networks with time-varying delays. Appl. Math. Comput. 183 (2008)
    • (2008) Appl. Math. Comput. , vol.183
    • Kown, O.M.1    Paek, J.H.2
  • 11
    • 67349239068 scopus 로고    scopus 로고
    • Exponential stability analysis for uncertain neural networks with interval time-varying delays
    • O.M. Owon, J.H. Park, Exponential stability analysis for uncertain neural networks with interval time-varying delays, Appl. Math. Comput. 212 (2) (2009) 530-541.
    • (2009) Appl. Math. Comput , vol.212 , Issue.2 , pp. 530-541
    • Owon, O.M.1    Park, J.H.2
  • 12
    • 64949145291 scopus 로고    scopus 로고
    • ∞ control of T-S fuzzy systems with interval time-varying delay
    • ∞ control of T-S fuzzy systems with interval time-varying delay, Fuzzy Sets Syst. 160 (12) (2009) 1669-1688.
    • (2009) Fuzzy Sets Syst , vol.160 , Issue.12 , pp. 1669-1688
    • Li, L.1    Liu, X.2    Chai, T.3
  • 13
    • 0000459678 scopus 로고    scopus 로고
    • Global stability for cellular neural networks with time-delay
    • Liao T.L., and Wang F.C. Global stability for cellular neural networks with time-delay. IEEE Trans. Neural Networks 11 6 (2000) 1481-1484
    • (2000) IEEE Trans. Neural Networks , vol.11 , Issue.6 , pp. 1481-1484
    • Liao, T.L.1    Wang, F.C.2
  • 14
    • 24044465139 scopus 로고    scopus 로고
    • Global asymptotic stability and global exponential stability of delayed cellular neural networks
    • Liao X., Wang J., and Zeng Z. Global asymptotic stability and global exponential stability of delayed cellular neural networks. IEEE Trans. Circuits Syst. II Exp. Briefs 52 7 (2005) 403-409
    • (2005) IEEE Trans. Circuits Syst. II Exp. Briefs , vol.52 , Issue.7 , pp. 403-409
    • Liao, X.1    Wang, J.2    Zeng, Z.3
  • 16
    • 12944289522 scopus 로고    scopus 로고
    • New results on delay-dependent control of time-delay systems
    • Mahmoud M.S., and Ismail A. New results on delay-dependent control of time-delay systems. IEEE Trans. Autom. Control 50 (2005) 95-100
    • (2005) IEEE Trans. Autom. Control , vol.50 , pp. 95-100
    • Mahmoud, M.S.1    Ismail, A.2
  • 17
    • 41649121671 scopus 로고    scopus 로고
    • New delay-dependent exponential stability for neural networks with time delay
    • Mou S., Gao H., Qiang W., and Chen K. New delay-dependent exponential stability for neural networks with time delay. IEEE Trans. Syst. Man Cybern. Part B 38 2 (2008) 571-576
    • (2008) IEEE Trans. Syst. Man Cybern. Part B , vol.38 , Issue.2 , pp. 571-576
    • Mou, S.1    Gao, H.2    Qiang, W.3    Chen, K.4
  • 18
    • 33745186884 scopus 로고    scopus 로고
    • On global stability criterion for neural networks with discrete and distributed delays
    • Park J.H. On global stability criterion for neural networks with discrete and distributed delays. Chaos Solitons Fractals 30 4 (2006) 897-902
    • (2006) Chaos Solitons Fractals , vol.30 , Issue.4 , pp. 897-902
    • Park, J.H.1
  • 19
    • 85126473801 scopus 로고    scopus 로고
    • Global stability for neural networks of neutral systems with interval time-varying delays
    • Park J.H., and Kwon O.M. Global stability for neural networks of neutral systems with interval time-varying delays. Chaos Solitons Fractals 38 3 (2008) 650-657
    • (2008) Chaos Solitons Fractals , vol.38 , Issue.3 , pp. 650-657
    • Park, J.H.1    Kwon, O.M.2
  • 20
    • 40749147693 scopus 로고    scopus 로고
    • A new global robust stability criteria for uncertain neural networks with fast time-varying delays
    • Qiu J., Zhang J., Wang J., Xia Y., and Shi P. A new global robust stability criteria for uncertain neural networks with fast time-varying delays. Chaos Solitons Fractals 37 (2008) 360-368
    • (2008) Chaos Solitons Fractals , vol.37 , pp. 360-368
    • Qiu, J.1    Zhang, J.2    Wang, J.3    Xia, Y.4    Shi, P.5
  • 21
    • 12544252350 scopus 로고    scopus 로고
    • Global robust stability of delayed cellular neural networks: an LMI approach
    • Singh V. Global robust stability of delayed cellular neural networks: an LMI approach. IEEE Trans. Circuits Syst. II Exp. Briefs 52 1 (2005) 33-36
    • (2005) IEEE Trans. Circuits Syst. II Exp. Briefs , vol.52 , Issue.1 , pp. 33-36
    • Singh, V.1
  • 22
    • 49049108880 scopus 로고    scopus 로고
    • Exponential stability analysis for neural networks with time-varying delays
    • Wu M., Liu F., Shi P., He Y., and Yokoyama R. Exponential stability analysis for neural networks with time-varying delays. IEEE Trans. Syst. Man Cybern. Part B 38 4 (2008) 1152-1156
    • (2008) IEEE Trans. Syst. Man Cybern. Part B , vol.38 , Issue.4 , pp. 1152-1156
    • Wu, M.1    Liu, F.2    Shi, P.3    He, Y.4    Yokoyama, R.5
  • 23
    • 33644982553 scopus 로고    scopus 로고
    • New results on global exponential stability of recurrent neural networks with time-varying delays
    • Xu S., Chu Y., and Lu J. New results on global exponential stability of recurrent neural networks with time-varying delays. Phys. Lett. A 352 (2006) 371-379
    • (2006) Phys. Lett. A , vol.352 , pp. 371-379
    • Xu, S.1    Chu, Y.2    Lu, J.3
  • 24
    • 33646135552 scopus 로고    scopus 로고
    • Exponential stability of neural networks with variable delays via LMI approach
    • Yang H., Chu T., and Zhang C. Exponential stability of neural networks with variable delays via LMI approach. Chaos Solitons Fractals 30 1 (2006) 133-139
    • (2006) Chaos Solitons Fractals , vol.30 , Issue.1 , pp. 133-139
    • Yang, H.1    Chu, T.2    Zhang, C.3
  • 25
    • 70350717236 scopus 로고    scopus 로고
    • Stability criteria for uncertain neutral systems with interval time-varying delays
    • Yu K.W., and Lien C.H. Stability criteria for uncertain neutral systems with interval time-varying delays. Chaos Solitons Fractals 23 (2005) 1363-1369
    • (2005) Chaos Solitons Fractals , vol.23 , pp. 1363-1369
    • Yu, K.W.1    Lien, C.H.2
  • 26
    • 17644395955 scopus 로고    scopus 로고
    • ∞ control of systems with uncertainty
    • ∞ control of systems with uncertainty. Automatica 41 (2005) 999-1007
    • (2005) Automatica , vol.41 , pp. 999-1007
    • Yue, H.1    Han, Q.L.2    Lam, J.3
  • 27
    • 6344254943 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of cellular neural networks with time-varying delays
    • Zhang Q., Ma R., Wang C., and Xu J. Delay-dependent exponential stability of cellular neural networks with time-varying delays. Chaos Solitons and Fractals 23 (2005) 1363-1369
    • (2005) Chaos Solitons and Fractals , vol.23 , pp. 1363-1369
    • Zhang, Q.1    Ma, R.2    Wang, C.3    Xu, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.