Global Stability Properties for Neutral-Type Hopfield Neural Networks

Article Preview

Abstract:

The global stability properties was discussed for the neutral-type Hopfield neural networks with discrete and distributed time-varying delays .Based on the Lyapunov functional stability analysis and the linear matrix inequality approach, a new sufficient condition was derived to assure the global stability properties of the equilibrium. The criterion improved and extended the results of literature, and has less conservative.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

682-685

Citation:

Online since:

November 2012

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] S. Xu,J. Lam D.W.C. Ho,Y. Zou, Delay-dependent exponential stability for a class of neural networks with time delays,J. Comput. Math. Appl, 183(2005)16-28.

DOI: 10.1016/j.cam.2004.12.025

Google Scholar

[2] Xiaodi Li, Zhang Chen, Stability properties for Hopfield neural networks with delays and impulsive Perturbations, Nonlinear Analysis, Vol 10, October 2009, 3253-3265.

DOI: 10.1016/j.nonrwa.2008.10.028

Google Scholar

[3] Cao.J. Global Asymptotic Stability of Neural Networks with Transmission Delays[J]. Int J Syst Sci, 2000, 31: 1313-1316.

Google Scholar

[4] R. Rakkiyappan,P. Balasubramaniam. New global exponential stability results for neutral-type neural networks with distributed time delays. Neurocomputing , 2008Vol. 71(No. 4-6) 1039-1045.

DOI: 10.1016/j.neucom.2007.11.002

Google Scholar

[5] Jin Zhu, Qingling Zhang, Chunyu Yang, Delay-dependent robust stability for Hopfield neural networks of neutral-Type. Neurocomputing , Volume 72 , June 2009 , Pages 2609-2617.

DOI: 10.1016/j.neucom.2008.10.008

Google Scholar

[6] ZhangJ, SudaY, Iwasa T. Absolutely exponential stability of a class of neural networks with unbounded delay. Neural Networks 2004, 17: 391-397.

DOI: 10.1016/j.neunet.2003.09.005

Google Scholar