134
Views
51
CrossRef citations to date
0
Altmetric
Section B

New results on passivity analysis of uncertain neural networks with time-varying delays

&
Pages 668-678 | Received 14 Jan 2008, Accepted 26 Mar 2008, Published online: 29 Sep 2008

References

  • Arik , S. 2004 . An analysis of exponential stability of delayed neural networks with time varying delays . Neural Net. , 17 ( 7 ) : 1027 – 1031 .
  • Bevelevich , V. 1968 . Classical Network Synthesis , New York : Van Nostrand .
  • Calcev , G. 1998 . Passivity approach to fuzzy control systems . Automatica , 33 ( 3 ) : 339 – 344 .
  • Cao , J. D. , Yuan , K. and Li , H. X. 2006 . Global asymptotical stability of recurrent neural networks with multiple discrete delays and distributed delays . IEEE Trans. Neural Netw. , 17 ( 6 ) : 1646 – 1651 .
  • Cao , J. D. , Ho , D. W.C. and Huang , X. 2007 . LMI-based criteria for global robust stability of bidirectional associative memory networks with time delay . Nonlinear Anal. , 66 ( 7 ) : 1558 – 1572 .
  • Chua , L. O. 1999 . Passivity and complexity . IEEE Trans. Circuits and Syst. I , 46 ( 1 ) : 71 – 82 .
  • Commuri , S. and Lewis , F. L. 1997 . CMAC neural networks for control of nonlinear dynamical systems: structure, stability and passivity . Automatica , 33 ( 4 ) : 635 – 641 .
  • Gao , H. , Chen , T. and Chai , T. 2007 . Passivity and passification for networked control systems . SIAM J. Control Optim. , 46 ( 4 ) : 1299 – 1322 .
  • He , Y. , Wu , M. and She , J. H. 2006 . An improved global asymptotic stability criterion for delayed cellular neural networks . IEEE Trans. Neural Netw. , 17 ( 1 ) : 250 – 252 .
  • Hilla , D. J. and Moylan , P. J. 1977 . Stability results for nonlinear feedback systems . Automatica , 13 ( 4 ) : 377 – 382 .
  • Li , C. G. and Liao , X. F. 2005 . Passivity analysis of neural networks with time delay . IEEE Trans. Circuits Syst. II , 52 ( 8 ) : 471 – 475 .
  • Li , C. G. , Zhang , H. B. and Liao , X. F. 2006 . Passivity and passification of fuzzy systems with time delays . Comput. Math. Appl. , 52 ( 6/7 ) : 1067 – 1078 .
  • Liang , J. , Wang , Z. and Liu , X. 2008 . Exponential synchronization of stochastic delayed discrete-time complex networks . Nonlinear Dyn. , 53 ( 1–2 ) : 153 – 165 .
  • Liu , Y. , Wang , Z. and Liu , X. 2006 . Global exponential stability of generalized recurrent neural networks with discrete and distributed delays . Neural Netw. , 19 ( 5 ) : 667 – 675 .
  • Liu , Y. , Wang , Z. and Liu , X. 2008 . Exponential synchronization of complex networks with Markovian jump and mixed delays . Phys. Lett. A , 372 ( 22 ) : 3986 – 3998 .
  • Lou , X. Y. and Cui , B. T. 2007 . Passivity analysis of integro-differential neural networks with time-varying delays . Neurocomputing , 70 ( 4/6 ) : 1071 – 1078 .
  • Mahmoud , M. S. and Ismail , A. 2004 . Passivity and passification of time-delay systems . J. Math. Anal. Appl. , 292 ( 1 ) : 247 – 258 .
  • Mou , S. , Gao , H. , Lam , J. and Qiang , W. 2008 . A new criterion of delay-dependent asymptotic stability for Hopfield neural networks with time delay . IEEE Trans. Neural Netw. , 19 ( 3 ) : 532 – 535 .
  • Mou , S. , Gao , H. , Qiang , W. and Chen , K. 2008 . New delay-dependent exponential stability for neural networks with time delay . IEEE Trans. Syst. Man Cybern. Part B, Cybern. , 38 ( 2 ) : 571 – 576 .
  • Niculescu , S. I. and Lozano , R. 2001 . On the passivity of linear delay systems . IEEE Trans. Autom. Control , 46 ( 3 ) : 460 – 464 .
  • Park , J. H. 2007 . Further results on passivity analysis of delayed cellular neural networks . Chaos Solitons Fractals , 34 ( 5 ) : 1546 – 1551 .
  • Rubio , J. J. and Yu , W. 2007 . Stability analysis of nonlinear system identification via delayed neural networks . IEEE Trans. Circuits Syst. II , 54 ( 2 ) : 161 – 165 .
  • Wang , Z. , Liu , Y. and Liu , X. 2005 . On global asymptotic stability of neural networks with discrete and distributed delays . Phys. Lett. A , 345 ( 4–6 ) : 299 – 308 .
  • Wang , Z. , Liu , Y. , Fraser , K. and Liu , X. 2006 . Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays . Phys. Lett. A , 354 ( 4 ) : 288 – 297 .
  • Wang , Z. , Liu , Y. , Li , M. and Liu , X. 2006 . Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays . IEEE Trans. Neural Netw. , 17 ( 3 ) : 814 – 820 .
  • Wu , C. W. 2001 . Synchronization in arrays of coupled nonlinear systems: passivity, circle criterion, and observer design . IEEE Trans. Circuits Syst. I , 48 ( 10 ) : 1257 – 1261 .
  • Xie , L. H. , Fu , M. Y. and Li , H. Z. 1998 . Passivity analysis and passification for uncertain signal processing systems . IEEE Trans. Signal Process , 46 ( 9 ) : 2394 – 2403 .
  • Xu , J. , Pi , D. Y. , Cao , Y. Y. and Zhong , S. M. 2007 . On stability of neural networks by a Lyapunov functional-based approach . IEEE Trans. Circuits Syst. I , 54 ( 4 ) : 912 – 924 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.