메뉴 건너뛰기




Volumn 5, Issue 3, 2011, Pages 525-534

Robust exponential stability analysis of discrete-time switched Hopfield neural networks with time delay

Author keywords

Average dwell time; Discrete time Hopfield neural networks; Parameter uncertainty; Robust exponential stability; Switched systems

Indexed keywords

AVERAGE DWELL TIME; DISCRETE-TIME; PARAMETER UNCERTAINTY; ROBUST EXPONENTIAL STABILITY; SWITCHED SYSTEM;

EID: 79959894745     PISSN: 1751570X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nahs.2010.10.014     Document Type: Article
Times cited : (56)

References (34)
  • 1
    • 0033311181 scopus 로고    scopus 로고
    • Basic problems in stability and design of switched systems
    • Liberzon D., Morse A.S. Basic problems in stability and design of switched systems. IEEE Control Syst. Mag. 1999, 19(5):59-70.
    • (1999) IEEE Control Syst. Mag. , vol.19 , Issue.5 , pp. 59-70
    • Liberzon, D.1    Morse, A.S.2
  • 2
    • 54049148940 scopus 로고    scopus 로고
    • Robust H∞ control of discrete switched systems with time delay
    • Song Y., Fan J., Fei M., Yang T. Robust H∞ control of discrete switched systems with time delay. Appl. Math. Comput. 2008, 205(1):159-169.
    • (2008) Appl. Math. Comput. , vol.205 , Issue.1 , pp. 159-169
    • Song, Y.1    Fan, J.2    Fei, M.3    Yang, T.4
  • 3
    • 56649112841 scopus 로고    scopus 로고
    • Robust H∞ stabilization for uncertain switched impulsive control systems with state delay: an LMI approach
    • Zong G., Xu S., Wu Y. Robust H∞ stabilization for uncertain switched impulsive control systems with state delay: an LMI approach. Nonlinear Anal. Hybrid Syst. 2008, 2(4):1287-1300.
    • (2008) Nonlinear Anal. Hybrid Syst. , vol.2 , Issue.4 , pp. 1287-1300
    • Zong, G.1    Xu, S.2    Wu, Y.3
  • 4
    • 52349097902 scopus 로고    scopus 로고
    • Robust stability analysis of switched linear systems with time delay, in: Proc. 20th Conference Chinese Control and Decision, Yantai, Shandong
    • L. Hou, G. Zong, H. Sun, Robust stability analysis of switched linear systems with time delay, in: Proc. 20th Conference Chinese Control and Decision, Yantai, Shandong, 2008, pp. 3746-3750.
    • (2008) , pp. 3746-3750
    • Hou, L.1    Zong, G.2    Sun, H.3
  • 5
    • 70049087118 scopus 로고    scopus 로고
    • Stability analysis for discrete-time switched time-delay systems
    • Zhang W., Yu L. Stability analysis for discrete-time switched time-delay systems. Automatica 2009, 45(10):2265-2271.
    • (2009) Automatica , vol.45 , Issue.10 , pp. 2265-2271
    • Zhang, W.1    Yu, L.2
  • 6
    • 57349101383 scopus 로고    scopus 로고
    • Switched discrete-time systems with time-varying delays: a generalized H2 approach
    • Mahmoud M.S. Switched discrete-time systems with time-varying delays: a generalized H2 approach. Comput. Math. Appl. 2009, 57(1):79-95.
    • (2009) Comput. Math. Appl. , vol.57 , Issue.1 , pp. 79-95
    • Mahmoud, M.S.1
  • 7
    • 15244362027 scopus 로고    scopus 로고
    • Robust H∞ control for uncertain discrete-time stochastic bilinear systems with Markov switching
    • Xu S., Chen T. Robust H∞ control for uncertain discrete-time stochastic bilinear systems with Markov switching. Internat. J. Robust Nonlinear Control 2005, 15(5):201-217.
    • (2005) Internat. J. Robust Nonlinear Control , vol.15 , Issue.5 , pp. 201-217
    • Xu, S.1    Chen, T.2
  • 8
    • 45249093225 scopus 로고    scopus 로고
    • Equivalence between the Lyapunov-Krasovskii functionals approach for discrete delay systems and that of the stability conditions for switched systems
    • Hetel L., Daafouz J., Iung C. Equivalence between the Lyapunov-Krasovskii functionals approach for discrete delay systems and that of the stability conditions for switched systems. Nonlinear Anal. Hybrid Syst. 2008, 2(3):697-705.
    • (2008) Nonlinear Anal. Hybrid Syst. , vol.2 , Issue.3 , pp. 697-705
    • Hetel, L.1    Daafouz, J.2    Iung, C.3
  • 9
    • 0020118274 scopus 로고
    • Neural networks and physical systems with emergent collective computational abilities
    • Hopfield J. Neural networks and physical systems with emergent collective computational abilities. Proc. Natl. Acad. Sci. 1982, 79(8):2554-2558.
    • (1982) Proc. Natl. Acad. Sci. , vol.79 , Issue.8 , pp. 2554-2558
    • Hopfield, J.1
  • 10
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-state neurons
    • Hopfield J. Neurons with graded response have collective computational properties like those of two-state neurons. Proc. Natl. Acad. Sci. 1984, 81(10):3088-3092.
    • (1984) Proc. Natl. Acad. Sci. , vol.81 , Issue.10 , pp. 3088-3092
    • Hopfield, J.1
  • 11
    • 0000990919 scopus 로고
    • Global convergence and asymptotic stability of asymmetric Hopfield neural networks
    • Xu Z. Global convergence and asymptotic stability of asymmetric Hopfield neural networks. J. Math. Anal. Appl. 1995, 191(33):405-427.
    • (1995) J. Math. Anal. Appl. , vol.191 , Issue.33 , pp. 405-427
    • Xu, Z.1
  • 12
    • 13444256385 scopus 로고    scopus 로고
    • A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach
    • Cao J., Ho D.W.C. A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach. Chaos Solitons Fractals 2005, 24(5):1317-1329.
    • (2005) Chaos Solitons Fractals , vol.24 , Issue.5 , pp. 1317-1329
    • Cao, J.1    Ho, D.W.C.2
  • 13
    • 33646135552 scopus 로고    scopus 로고
    • Exponential stability of neural networks with variable delays via LMI approach
    • Yang H., Chu T., Zhang C. Exponential stability of neural networks with variable delays via LMI approach. Chaos Solitons Fractals 2006, 30(1):133-139.
    • (2006) Chaos Solitons Fractals , vol.30 , Issue.1 , pp. 133-139
    • Yang, H.1    Chu, T.2    Zhang, C.3
  • 14
    • 22144483495 scopus 로고    scopus 로고
    • Delay-dependent exponential stability for a class of neural networks with time delays
    • Xu S., Lam J., Ho D.W.C., Zou Y. Delay-dependent exponential stability for a class of neural networks with time delays. J. Comput. Appl. Math. 2005, 183(1):16-28.
    • (2005) J. Comput. Appl. Math. , vol.183 , Issue.1 , pp. 16-28
    • Xu, S.1    Lam, J.2    Ho, D.W.C.3    Zou, Y.4
  • 15
    • 55549116016 scopus 로고    scopus 로고
    • Global exponential stability of Hopfield neural networks with distributed delays
    • Zhou J., Li S., Yang Z. Global exponential stability of Hopfield neural networks with distributed delays. Appl. Math. Model. 2009, 33(3):1513-1520.
    • (2009) Appl. Math. Model. , vol.33 , Issue.3 , pp. 1513-1520
    • Zhou, J.1    Li, S.2    Yang, Z.3
  • 16
    • 61849163302 scopus 로고    scopus 로고
    • Global exponential stability of Hopfield neural networks with delays and inverse Lipschitz neuron activations
    • Wu H. Global exponential stability of Hopfield neural networks with delays and inverse Lipschitz neuron activations. Nonlinear Anal. RWA 2009, 10(4):2297-2306.
    • (2009) Nonlinear Anal. RWA , vol.10 , Issue.4 , pp. 2297-2306
    • Wu, H.1
  • 17
    • 67349202777 scopus 로고    scopus 로고
    • On asymptotic stability of discrete-time non-autonomous delayed Hopfield neural networks
    • Wei X., Zhou D., Zhang Q. On asymptotic stability of discrete-time non-autonomous delayed Hopfield neural networks. Comput. Math. Appl. 2009, 57(11-12):1938-1942.
    • (2009) Comput. Math. Appl. , vol.57 , Issue.11-12 , pp. 1938-1942
    • Wei, X.1    Zhou, D.2    Zhang, Q.3
  • 18
    • 67349147384 scopus 로고    scopus 로고
    • Delay-dependent robust stability for Hopfield neural networks of neutral-type
    • Zhu J., Zhang Q., Yang C. Delay-dependent robust stability for Hopfield neural networks of neutral-type. Neurocomputing 2009, 72(10-12):2609-2617.
    • (2009) Neurocomputing , vol.72 , Issue.10-12 , pp. 2609-2617
    • Zhu, J.1    Zhang, Q.2    Yang, C.3
  • 19
    • 33947139673 scopus 로고    scopus 로고
    • On global robust stability of interval Hopfield neural networks with delay
    • Singh V. On global robust stability of interval Hopfield neural networks with delay. Chaos Solitons Fractals 2007, 33(4):1183-1188.
    • (2007) Chaos Solitons Fractals , vol.33 , Issue.4 , pp. 1183-1188
    • Singh, V.1
  • 20
    • 67349190549 scopus 로고    scopus 로고
    • New delay-dependent asymptotic stability conditions concerning BAM neural networks of neutral type
    • Liu J., Zong G. New delay-dependent asymptotic stability conditions concerning BAM neural networks of neutral type. Neurocomputing 2009, 72(10-12):2549-2555.
    • (2009) Neurocomputing , vol.72 , Issue.10-12 , pp. 2549-2555
    • Liu, J.1    Zong, G.2
  • 21
    • 67651205462 scopus 로고    scopus 로고
    • New delay-dependent global robust stability conditions for interval neural networks with time-varying delays
    • Zong G., Liu J. New delay-dependent global robust stability conditions for interval neural networks with time-varying delays. Chaos Solitons Fractals 2009, 42(5):2954-2964.
    • (2009) Chaos Solitons Fractals , vol.42 , Issue.5 , pp. 2954-2964
    • Zong, G.1    Liu, J.2
  • 22
    • 79959888028 scopus 로고
    • Switched neural networks, United States Patent, Patent Number 4873661
    • Y. Tsividis, Switched neural networks, United States Patent, Patent Number 4873661, 1989.
    • (1989)
    • Tsividis, Y.1
  • 23
    • 0024768625 scopus 로고
    • Neural networks for switching
    • Brown T. Neural networks for switching. IEEE Commun. Mag. 1989, 72-81.
    • (1989) IEEE Commun. Mag. , pp. 72-81
    • Brown, T.1
  • 24
    • 79959873766 scopus 로고    scopus 로고
    • Gene selection through switched neural networks, Contribution to NETTAB 03, Bologna
    • M. Muselli, Gene selection through switched neural networks, Contribution to NETTAB 03, Bologna, 2003, pp. 1-3.
    • (2003) , pp. 1-3
    • Muselli, M.1
  • 25
    • 34548528693 scopus 로고    scopus 로고
    • Assignment of cells to switches in a cellular mobile network using a hybrid Hopfield network-genetic algorithm approach
    • Salcedo-Sanz S., Yao X. Assignment of cells to switches in a cellular mobile network using a hybrid Hopfield network-genetic algorithm approach. Appl. Soft Comput. 2008, 8(1):216-224.
    • (2008) Appl. Soft Comput. , vol.8 , Issue.1 , pp. 216-224
    • Salcedo-Sanz, S.1    Yao, X.2
  • 26
    • 85008006621 scopus 로고    scopus 로고
    • On hybrid impulsive and switching neural networks
    • Li C., Feng G., Huang T. On hybrid impulsive and switching neural networks. IEEE Trans. Syst. Man Cybern. B 2008, 38(6):1549-1560.
    • (2008) IEEE Trans. Syst. Man Cybern. B , vol.38 , Issue.6 , pp. 1549-1560
    • Li, C.1    Feng, G.2    Huang, T.3
  • 27
    • 34547428883 scopus 로고    scopus 로고
    • Delay-dependent criteria for robust stability of uncertain switched Hopfield neural networks
    • Lou X., Cui B. Delay-dependent criteria for robust stability of uncertain switched Hopfield neural networks. Int. J. Autom. Comput. 2007, 4(2-6):304-314.
    • (2007) Int. J. Autom. Comput. , vol.4 , Issue.2-6 , pp. 304-314
    • Lou, X.1    Cui, B.2
  • 28
    • 24344478552 scopus 로고    scopus 로고
    • Robust stability analysis of switched Hopfield neural networks with time-varying delay under uncertainty
    • Huang H., Qu Y., Li H. Robust stability analysis of switched Hopfield neural networks with time-varying delay under uncertainty. Phys. Lett. A 2005, 345(4-6):345-354.
    • (2005) Phys. Lett. A , vol.345 , Issue.4-6 , pp. 345-354
    • Huang, H.1    Qu, Y.2    Li, H.3
  • 29
    • 77955586024 scopus 로고    scopus 로고
    • Delay-range-dependent exponential stability criteria and decay estimation for switched Hopfield neural networks of neutral type
    • Zong G., Liu J., Zhang Y., Hou L. Delay-range-dependent exponential stability criteria and decay estimation for switched Hopfield neural networks of neutral type. Nonlinear Anal. Hybrid Syst. 2010, 4(3):583-592.
    • (2010) Nonlinear Anal. Hybrid Syst. , vol.4 , Issue.3 , pp. 583-592
    • Zong, G.1    Liu, J.2    Zhang, Y.3    Hou, L.4
  • 30
    • 31144439749 scopus 로고    scopus 로고
    • On global robust stability for internal Hopfield neural networks with time delay
    • Wang L., Gao Y. On global robust stability for internal Hopfield neural networks with time delay. Ann. Differential Equations 2003, 19(3):421-426.
    • (2003) Ann. Differential Equations , vol.19 , Issue.3 , pp. 421-426
    • Wang, L.1    Gao, Y.2
  • 31
    • 0033314314 scopus 로고    scopus 로고
    • Stability of switched systems with average dwell-time, in: Proc. 38th IEEE Conference Decision and Control Phoenix, Arizona
    • J.P. Hespanha, A.S. Morse, Stability of switched systems with average dwell-time, in: Proc. 38th IEEE Conference Decision and Control Phoenix, Arizona, 1999, pp. 2655-2660.
    • (1999) , pp. 2655-2660
    • Hespanha, J.P.1    Morse, A.S.2
  • 32
    • 1042300605 scopus 로고    scopus 로고
    • Robust H∞ control for uncertain discrete-time systems with time-varying delays via exponential output feedback controllers
    • Xu S., Chen T. Robust H∞ control for uncertain discrete-time systems with time-varying delays via exponential output feedback controllers. Systems Control Lett. 2004, 51(1):171-183.
    • (2004) Systems Control Lett. , vol.51 , Issue.1 , pp. 171-183
    • Xu, S.1    Chen, T.2
  • 33
    • 56549085214 scopus 로고    scopus 로고
    • Output feedback stabilization for a discrete-time system with a time-varying delay
    • He Y., Wu M., Liu G.P., She J. Output feedback stabilization for a discrete-time system with a time-varying delay. IEEE Trans. Automat. Control 2008, 53(10):2372-2377.
    • (2008) IEEE Trans. Automat. Control , vol.53 , Issue.10 , pp. 2372-2377
    • He, Y.1    Wu, M.2    Liu, G.P.3    She, J.4
  • 34
    • 76649140797 scopus 로고    scopus 로고
    • Robust filter design for piecewise discrete-time systems with time-varying delays
    • Mahmoud M.S., Xia Y. Robust filter design for piecewise discrete-time systems with time-varying delays. Internat. J. Robust Nonlinear Control 2010, 20:544-560.
    • (2010) Internat. J. Robust Nonlinear Control , vol.20 , pp. 544-560
    • Mahmoud, M.S.1    Xia, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.