메뉴 건너뛰기




Volumn 3, Issue 4, 2009, Pages 749-756

Delay-range dependent stability criteria for neural networks with Markovian jumping parameters

Author keywords

Delay interval dependent stability; Hopfield neural networks; Linear matrix inequality; Lyapunov Krasovskii functional; Markovian jumping parameters

Indexed keywords

A-STABILITY; CONTINUOUS TIME; DELAY/INTERVAL-DEPENDENT STABILITY; DEPENDENT STABILITY; DISCRETE DELAY; FINITE STATE SPACES; INTERVAL TIME-VARYING DELAYS; JUMPING PARAMETERS; LMI-CONDITION; LOWER AND UPPER BOUNDS; LYAPUNOV-KRASOVSKII FUNCTIONAL; LYAPUNOV-KRASOVSKII FUNCTIONALS; MARKOVIAN; MARKOVIAN JUMPING PARAMETERS; MATRIX P; NUMERICAL EXAMPLE; TIME VARYING;

EID: 68749110479     PISSN: 1751570X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nahs.2009.06.012     Document Type: Article
Times cited : (51)

References (29)
  • 3
    • 58149469058 scopus 로고    scopus 로고
    • Novel delay-dependent stability criteria of neural networks with time-varying delays
    • Chen Y., and Wu Y. Novel delay-dependent stability criteria of neural networks with time-varying delays. Neurocomputing 72 (2009) 1065-1070
    • (2009) Neurocomputing , vol.72 , pp. 1065-1070
    • Chen, Y.1    Wu, Y.2
  • 4
    • 0033730977 scopus 로고    scopus 로고
    • Global asymptotic stability of a class of dynamical neural networks
    • Arik S. Global asymptotic stability of a class of dynamical neural networks. IEEE Trans. Circuits Syst. I 47 (2000) 568-571
    • (2000) IEEE Trans. Circuits Syst. I , vol.47 , pp. 568-571
    • Arik, S.1
  • 5
    • 33846047356 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for neural networks with time-varying delay
    • He Y., Liu G.P., and Rees D. New delay-dependent stability criteria for neural networks with time-varying delay. IEEE Trans. Neural Netw. 18 (2007) 310-314
    • (2007) IEEE Trans. Neural Netw. , vol.18 , pp. 310-314
    • He, Y.1    Liu, G.P.2    Rees, D.3
  • 6
    • 38149066040 scopus 로고    scopus 로고
    • Stability analysis for neural networks with time-varying interval delay
    • He Y., Liu G.P., Rees D., and Wu M. Stability analysis for neural networks with time-varying interval delay. IEEE Trans. Neural Netw. 18 (2007) 1850-1854
    • (2007) IEEE Trans. Neural Netw. , vol.18 , pp. 1850-1854
    • He, Y.1    Liu, G.P.2    Rees, D.3    Wu, M.4
  • 7
    • 27744606163 scopus 로고    scopus 로고
    • LMI-based stability criteria for neural networks with multiple time-varying delays
    • He Y., Wang Q.G., and Wu M. LMI-based stability criteria for neural networks with multiple time-varying delays. Physica D 212 (2005) 126-136
    • (2005) Physica D , vol.212 , pp. 126-136
    • He, Y.1    Wang, Q.G.2    Wu, M.3
  • 8
    • 34848823403 scopus 로고    scopus 로고
    • Stability analysis of neural networks with interval time-varying delays
    • Hou Y.-Y., Liao T.-L., Lien C.-H., and Yan J.-J. Stability analysis of neural networks with interval time-varying delays. Chaos 17 033120 (2007) 1-9
    • (2007) Chaos , vol.17 , Issue.033120 , pp. 1-9
    • Hou, Y.-Y.1    Liao, T.-L.2    Lien, C.-H.3    Yan, J.-J.4
  • 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
    • 51749120988 scopus 로고    scopus 로고
    • On delay-dependent robust stability of uncertain neutral systems with interval time-varying delays
    • Kwon O.M., Park J.H., and Lee S.M. On delay-dependent robust stability of uncertain neutral systems with interval time-varying delays. Appl. Math. Comput. 203 (2008) 843-853
    • (2008) Appl. Math. Comput. , vol.203 , pp. 843-853
    • Kwon, O.M.1    Park, J.H.2    Lee, S.M.3
  • 11
    • 58149458007 scopus 로고    scopus 로고
    • Delay-interval dependent stability of recurrent neural networks with time-varying delays
    • Li C., and Feng G. Delay-interval dependent stability of recurrent neural networks with time-varying delays. Neurocomputing 72 (2009) 1179-1183
    • (2009) Neurocomputing , vol.72 , pp. 1179-1183
    • Li, C.1    Feng, G.2
  • 12
    • 50349093719 scopus 로고    scopus 로고
    • New results on global asymptotic stability analysis for neural networks with time-varying delays
    • Li T., Guo L., Lin C., and Sun C.Y. New results on global asymptotic stability analysis for neural networks with time-varying delays. Nonlinear Anal. RWA 10 (2009) 554-562
    • (2009) Nonlinear Anal. RWA , vol.10 , pp. 554-562
    • Li, T.1    Guo, L.2    Lin, C.3    Sun, C.Y.4
  • 13
    • 33846799331 scopus 로고    scopus 로고
    • Delay dependent stability for neural networks with time-varying delay
    • Liu H.L., and Chen G.H. Delay dependent stability for neural networks with time-varying delay. Chaos, Solitons, Fractals 33 (2007) 171-177
    • (2007) Chaos, Solitons, Fractals , vol.33 , pp. 171-177
    • Liu, H.L.1    Chen, G.H.2
  • 14
    • 39049086696 scopus 로고    scopus 로고
    • Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay
    • Peng C., and Tian Y.-C. Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay. J. Comput. Appl. Math. 214 (2008) 480-494
    • (2008) J. Comput. Appl. Math. , vol.214 , pp. 480-494
    • Peng, C.1    Tian, Y.-C.2
  • 15
    • 62549164729 scopus 로고    scopus 로고
    • New robust stability criteria for uncertain neural networks with interval time-varying delays
    • Qiu J., Yang H., Zhang J., and Gao Z. New robust stability criteria for uncertain neural networks with interval time-varying delays. Chaos, Solitons, Fractals 39 (2009) 579-585
    • (2009) Chaos, Solitons, Fractals , vol.39 , pp. 579-585
    • Qiu, J.1    Yang, H.2    Zhang, J.3    Gao, Z.4
  • 16
    • 1242331018 scopus 로고    scopus 로고
    • A generalised LMI-based approach to the global asymptotic stability of delayed cellular neural networks
    • Singh V. A generalised LMI-based approach to the global asymptotic stability of delayed cellular neural networks. IEEE Trans. Neural Netw. 15 (2004) 223-225
    • (2004) IEEE Trans. Neural Netw. , vol.15 , pp. 223-225
    • Singh, V.1
  • 17
    • 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., and Zou Y. Delay-dependent exponential stability for a class of neural networks with time delays. J. Comput. Appl. Math. 183 (2005) 16-28
    • (2005) J. Comput. Appl. Math. , vol.183 , pp. 16-28
    • Xu, S.1    Lam, J.2    Ho, D.W.C.3    Zou, Y.4
  • 18
    • 34247631717 scopus 로고    scopus 로고
    • On global exponential stability of high-order neural networks with time-varying delays
    • Zhang B., Xu S., Li Y., and Chu Y. On global exponential stability of high-order neural networks with time-varying delays. Phys. Lett. A 366 (2007) 69-78
    • (2007) Phys. Lett. A , vol.366 , pp. 69-78
    • Zhang, B.1    Xu, S.2    Li, Y.3    Chu, Y.4
  • 19
    • 33846689508 scopus 로고
    • On the overlap dynamics of multi-state neural networks with a finite number of patterns
    • Bolle D., Dupont P., and Vinck B. On the overlap dynamics of multi-state neural networks with a finite number of patterns. J. Phys. A 25 (1992) 2859-2872
    • (1992) J. Phys. A , vol.25 , pp. 2859-2872
    • Bolle, D.1    Dupont, P.2    Vinck, B.3
  • 21
    • 26444565569 scopus 로고
    • Finding structure in time
    • Elman J.L. Finding structure in time. Cogn. Sci. 14 (1990) 179-211
    • (1990) Cogn. Sci. , vol.14 , pp. 179-211
    • Elman, J.L.1
  • 22
    • 0025464943 scopus 로고
    • Controlability, stabilizability, and continuous-time Markovian jumping linear quadratic control
    • Ji Y., and Chizeck H.J. Controlability, stabilizability, and continuous-time Markovian jumping linear quadratic control. IEEE Trans. Automat. control 35 (1990) 777-788
    • (1990) IEEE Trans. Automat. control , vol.35 , pp. 777-788
    • Ji, Y.1    Chizeck, H.J.2
  • 23
    • 0027642016 scopus 로고
    • Timetable construction with Markovian neural networks
    • Kovacic M. Timetable construction with Markovian neural networks. European J. Oper. Res. 69 (1993) 92-96
    • (1993) European J. Oper. Res. , vol.69 , pp. 92-96
    • Kovacic, M.1
  • 24
    • 6044234526 scopus 로고    scopus 로고
    • Markovian architectural bias of recurrent neural netwoks
    • Tino P., Cernansky M., and Benuskova L. Markovian architectural bias of recurrent neural netwoks. IEEE Trans. Neural Netw. 15 (2004) 6-15
    • (2004) IEEE Trans. Neural Netw. , vol.15 , pp. 6-15
    • Tino, P.1    Cernansky, M.2    Benuskova, L.3
  • 25
    • 33745348656 scopus 로고    scopus 로고
    • Exponential stability of delayed recurrent neural networks with Markovian jumping parameters
    • Wang Z., Liu Y., Yu L., and Liu X. Exponential stability of delayed recurrent neural networks with Markovian jumping parameters. Phys. Lett. A 356 (2006) 346-352
    • (2006) Phys. Lett. A , vol.356 , pp. 346-352
    • Wang, Z.1    Liu, Y.2    Yu, L.3    Liu, X.4
  • 26
    • 58249092623 scopus 로고    scopus 로고
    • State estimation for jumping recurrent neural networks with discrete and distributed delays
    • Wang Z., Liu Y., and Liu X. State estimation for jumping recurrent neural networks with discrete and distributed delays. Neural Netw. 22 (2009) 41-48
    • (2009) Neural Netw. , vol.22 , pp. 41-48
    • Wang, Z.1    Liu, Y.2    Liu, X.3
  • 27
    • 68749109339 scopus 로고    scopus 로고
    • Dynamic analysis of Markovian jumping impulsive stochastic Cohen-Grossberg neural networks with discrete interval and distributed time varying delays
    • 10.1016/j.nahs.2009.02.008
    • Rakkiyappan R., and Balasubramaniam P. Dynamic analysis of Markovian jumping impulsive stochastic Cohen-Grossberg neural networks with discrete interval and distributed time varying delays. Nonlinear Anal. Hybrid Syst. (2009) 10.1016/j.nahs.2009.02.008
    • (2009) Nonlinear Anal. Hybrid Syst.
    • Rakkiyappan, R.1    Balasubramaniam, P.2
  • 28
    • 36849036837 scopus 로고    scopus 로고
    • An LMI approach to stability analysis of stochastic higher-order Markovian jumping neural networks with mixed time delays
    • Liu Y., wang Z., and Liu X. An LMI approach to stability analysis of stochastic higher-order Markovian jumping neural networks with mixed time delays. Nonlinear Anal. Hybrid Syst. 2 (2008) 110-120
    • (2008) Nonlinear Anal. Hybrid Syst. , vol.2 , pp. 110-120
    • Liu, Y.1    wang, Z.2    Liu, X.3
  • 29
    • 67549137666 scopus 로고    scopus 로고
    • Delay-dependent robust stability analysis for Markovian jumping stochastic Cohan-Grassberg neural networks with discrete interval and distributed time varying delays
    • Balasubramaniam P., and Rakkiyappan R. Delay-dependent robust stability analysis for Markovian jumping stochastic Cohan-Grassberg neural networks with discrete interval and distributed time varying delays. Nonlinear Anal. Hybrid Syst. 3 (2009) 207-214
    • (2009) Nonlinear Anal. Hybrid Syst. , vol.3 , pp. 207-214
    • Balasubramaniam, P.1    Rakkiyappan, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.