메뉴 건너뛰기




Volumn 118, Issue , 2013, Pages 150-156

New approaches on stability criteria for neural networks with two additive time-varying delay components

Author keywords

Additive time varying delays; Convex polyhedron method; LMI; Neural networks

Indexed keywords

CONVEX POLYHEDRONS; DELAY DEPENDENT STABILITY CRITERION; LINEAR MATRIX INEQUALITY (LMIS); LMI; LYAPUNOV-KRASOVSKII FUNCTIONALS; NUMERICAL EXAMPLE; STABILITY PROBLEM; TIME-VARYING DELAY;

EID: 84881240805     PISSN: 09252312     EISSN: 18728286     Source Type: Journal    
DOI: 10.1016/j.neucom.2013.02.028     Document Type: Article
Times cited : (50)

References (24)
  • 1
    • 0000459678 scopus 로고    scopus 로고
    • Global stability for cellular neural networks with time delay
    • Liao T.L., Wang F.C. Global stability for cellular neural networks with time delay. IEEE Trans. Neural Networks 2000, 11(6):1481-1484.
    • (2000) IEEE Trans. Neural Networks , vol.11 , Issue.6 , pp. 1481-1484
    • Liao, T.L.1    Wang, F.C.2
  • 2
    • 0036506075 scopus 로고    scopus 로고
    • Exponential stability and periodic oscillatory solution in BAM networks with delays
    • Cao J.D., Wang L. Exponential stability and periodic oscillatory solution in BAM networks with delays. IEEE Trans. Neural Networks 2002, 13(2):457-463.
    • (2002) IEEE Trans. Neural Networks , vol.13 , Issue.2 , pp. 457-463
    • Cao, J.D.1    Wang, L.2
  • 3
    • 0242608076 scopus 로고    scopus 로고
    • Global asymptotic stability of a larger class of neural networks with constant time delay
    • Arik S. Global asymptotic stability of a larger class of neural networks with constant time delay. Phys. Lett. A 2002, 311:504-511.
    • (2002) Phys. Lett. A , vol.311 , pp. 504-511
    • Arik, S.1
  • 4
    • 0036737354 scopus 로고    scopus 로고
    • An analysis of global asymptotic stability of delayed cellular neural networks
    • Arik S. An analysis of global asymptotic stability of delayed cellular neural networks. IEEE Trans. Neural Networks 2002, 13(5):1239-1242.
    • (2002) IEEE Trans. Neural Networks , vol.13 , Issue.5 , pp. 1239-1242
    • Arik, S.1
  • 5
    • 0036755232 scopus 로고    scopus 로고
    • Delay-dependent exponential stability analysis of delayed neural networks. an LMI approach
    • Liao X.F., Chen G., Sanchez E.N. Delay-dependent exponential stability analysis of delayed neural networks. an LMI approach. Neural Networks 2002, 15:855-866.
    • (2002) Neural Networks , vol.15 , pp. 855-866
    • Liao, X.F.1    Chen, G.2    Sanchez, E.N.3
  • 6
    • 0142087577 scopus 로고    scopus 로고
    • Delay-independent stability analysis of Cohen-Grossberg neural networks
    • Chen T., Rong L. Delay-independent stability analysis of Cohen-Grossberg neural networks. Phys. Lett. A 2003, 317:436-499.
    • (2003) Phys. Lett. A , vol.317 , pp. 436-499
    • Chen, T.1    Rong, L.2
  • 7
    • 0242659944 scopus 로고    scopus 로고
    • Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays
    • He Y., Wu M., She J.H., Liu G.P. Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays. Syst. Control Lett. 2004, 51(1):57-65.
    • (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
  • 8
    • 22244437256 scopus 로고    scopus 로고
    • Novel global asymptotic stability criteria for delayed cellular neural networks
    • Xu S., Lam J., Ho D.W.C., Zou Y. Novel global asymptotic stability criteria for delayed cellular neural networks. IEEE Trans. Circuits Syst. II. Exp. Briefs 2005, 52(6):349-353.
    • (2005) IEEE Trans. Circuits Syst. II. Exp. Briefs , vol.52 , Issue.6 , pp. 349-353
    • Xu, S.1    Lam, J.2    Ho, D.W.C.3    Zou, Y.4
  • 9
    • 33144454968 scopus 로고    scopus 로고
    • An improved global asymptotic stability criterion for delayed cellular neural networks
    • He Y., Wu M., She J.H. An improved global asymptotic stability criterion for delayed cellular neural networks. IEEE Trans. Neural Networks 2006, 17(1):250-252.
    • (2006) IEEE Trans. Neural Networks , vol.17 , Issue.1 , pp. 250-252
    • He, Y.1    Wu, M.2    She, J.H.3
  • 10
    • 46749148352 scopus 로고    scopus 로고
    • On robust stability for uncertain neural networks with interval time-varying delays
    • Kwon O.M., Park J.H., Lee S.M. On robust stability for uncertain neural networks with interval time-varying delays. IET Control Theory Appl. 2008, 2:625-634.
    • (2008) IET Control Theory Appl. , vol.2 , pp. 625-634
    • Kwon, O.M.1    Park, J.H.2    Lee, S.M.3
  • 11
    • 33644983182 scopus 로고    scopus 로고
    • New results on stability analysis of neural networks with time-varying delays
    • Hua C.C., Long C.N., Guan X.P. New results on stability analysis of neural networks with time-varying delays. Phys. Lett. A 2006, 352:335-340.
    • (2006) Phys. Lett. A , vol.352 , pp. 335-340
    • Hua, C.C.1    Long, C.N.2    Guan, X.P.3
  • 12
    • 27644564389 scopus 로고    scopus 로고
    • Global asymptotic stability of generalized bi-directional associative memory networks with discrete and distributed delays
    • Liu Y., Wang Z., Liu X. Global asymptotic stability of generalized bi-directional associative memory networks with discrete and distributed delays. Chaos Solitons Fractals 2006, 28(3):793-803.
    • (2006) Chaos Solitons Fractals , vol.28 , Issue.3 , pp. 793-803
    • Liu, Y.1    Wang, Z.2    Liu, X.3
  • 13
    • 33846047356 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for neural networks with time-varying delay
    • He Y., Liu G.P., Rees D. New delay-dependent stability criteria for neural networks with time-varying delay. IEEE Trans. Neural Networks 2007, 18(1):310-314.
    • (2007) IEEE Trans. Neural Networks , vol.18 , Issue.1 , pp. 310-314
    • He, Y.1    Liu, G.P.2    Rees, D.3
  • 14
    • 52149090973 scopus 로고    scopus 로고
    • Delay-dependent stability for recurrent neural networks with time-varying delays
    • Shao H. Delay-dependent stability for recurrent neural networks with time-varying delays. IEEE Trans. Neural Networks 2008, 19(9):1647-1651.
    • (2008) IEEE Trans. Neural Networks , vol.19 , Issue.9 , pp. 1647-1651
    • Shao, H.1
  • 15
    • 83555163798 scopus 로고    scopus 로고
    • New stability criteria for neural networks with time-varying delays
    • Hua C., Yang X., Yan J., Guan X. New stability criteria for neural networks with time-varying delays. Appl. Math. Comput. 2012, 218:5035-5042.
    • (2012) Appl. Math. Comput. , vol.218 , pp. 5035-5042
    • Hua, C.1    Yang, X.2    Yan, J.3    Guan, X.4
  • 16
    • 58149458007 scopus 로고    scopus 로고
    • Delay-interval-dependent stability of recurrent neural networks with time-varying delay
    • Li C.D., Feng G. Delay-interval-dependent stability of recurrent neural networks with time-varying delay. Neurocomputing 2009, 72:1179-1183.
    • (2009) Neurocomputing , vol.72 , pp. 1179-1183
    • Li, C.D.1    Feng, G.2
  • 17
    • 63049089465 scopus 로고    scopus 로고
    • New Lyapunov-Krasovskii functionals for global asymptotic stability of delayed neural networks
    • Zhang X.M., Han Q.L. New Lyapunov-Krasovskii functionals for global asymptotic stability of delayed neural networks. IEEE Trans. Neural Networks 2009, 20(3):533-539.
    • (2009) IEEE Trans. Neural Networks , vol.20 , Issue.3 , pp. 533-539
    • Zhang, X.M.1    Han, Q.L.2
  • 18
    • 79955824878 scopus 로고    scopus 로고
    • Complete delay-decomposing approach to asymptotic stability for neural networks with time-varying delays
    • Zeng H.B., He Y., Zhang C.F. Complete delay-decomposing approach to asymptotic stability for neural networks with time-varying delays. IEEE Trans. Neural Networks 2011, 22(5):806-812.
    • (2011) IEEE Trans. Neural Networks , vol.22 , Issue.5 , pp. 806-812
    • Zeng, H.B.1    He, Y.2    Zhang, C.F.3
  • 19
    • 84860430838 scopus 로고    scopus 로고
    • New approaches on stability criteria for neural networks with interval time-varying delays
    • Kwon O.M., Lee S.M., Ju H. Park, Cha E.J. New approaches on stability criteria for neural networks with interval time-varying delays. Appl. Math. Comput. 2012, 218:9953-9964.
    • (2012) Appl. Math. Comput. , vol.218 , pp. 9953-9964
    • Kwon, O.M.1    Lee, S.M.2    Park, J.H.3    Cha, E.J.4
  • 20
    • 56449114792 scopus 로고    scopus 로고
    • Asymptotic stability analysis of neural networks with successive time delay components
    • Zhao Y., Gao H., Mou S. Asymptotic stability analysis of neural networks with successive time delay components. Neurocomputing 2008, 71:2848-2856.
    • (2008) Neurocomputing , vol.71 , pp. 2848-2856
    • Zhao, Y.1    Gao, H.2    Mou, S.3
  • 21
    • 79955847145 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for neural networks with two additive time-varying delay components
    • Shao H., Han Q. New delay-dependent stability criteria for neural networks with two additive time-varying delay components. IEEE Trans. Neural Networks 2011, 22:812-818.
    • (2011) IEEE Trans. Neural Networks , vol.22 , pp. 812-818
    • Shao, H.1    Han, Q.2
  • 22
    • 80955142654 scopus 로고    scopus 로고
    • Improved delay-dependent stability criteria for neural networks with two additive time-varying delay components
    • Tian J., Zhong S. Improved delay-dependent stability criteria for neural networks with two additive time-varying delay components. Neurocomputing 2012, 77:114-119.
    • (2012) Neurocomputing , vol.77 , pp. 114-119
    • Tian, J.1    Zhong, S.2
  • 23
    • 78650807125 scopus 로고    scopus 로고
    • Reciprocally convex approach to stability of systems with time-varying delays
    • Park P., Ko J.W., Jeong C.K. Reciprocally convex approach to stability of systems with time-varying delays. Automatica 2011, 47:235-238.
    • (2011) Automatica , vol.47 , pp. 235-238
    • Park, P.1    Ko, J.W.2    Jeong, C.K.3
  • 24
    • 0034439996 scopus 로고    scopus 로고
    • Integral inequality in the stability problem of time-delay systems
    • Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia
    • K. Gu, Integral inequality in the stability problem of time-delay systems, in: Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, 2000.
    • (2000)
    • Gu, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.