New Delay-Dependent Stability Criteria for Neural Networks With Time-Varying Delay

Author

He, Yong ; Liu, Guoping ; Rees, D.

Author_Institution

Fac. of Adv. Technol., Univ. of Glamorgan, Pontypridd

Volume

18

Issue

1

fYear

2007

Firstpage

310

Lastpage

314

Abstract

In this letter, a new method is proposed for stability analysis of neural networks (NNs) with a time-varying delay. Some less conservative delay-dependent stability criteria are established by considering the additional useful terms, which were ignored in previous methods, when estimating the upper bound of the derivative of Lyapunov functionals and introducing the new free-weighting matrices. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method

Keywords

Lyapunov methods; delays; neural nets; stability criteria; time-varying systems; Lyapunov functionals; delay-dependent stability criteria; neural networks; stability analysis; time-varying delay; Delay effects; Delay estimation; Delay lines; Helium; Linear matrix inequalities; Neural networks; Neurons; Stability analysis; Stability criteria; Upper bound; Delay-dependent; linear matrix inequality (LMI); neural networks (NNs); stability; time-varying delay; Algorithms; Computer Simulation; Models, Theoretical; Neural Networks (Computer); Nonlinear Dynamics; Time Factors;

fLanguage

English

Journal_Title

Neural Networks, IEEE Transactions on

Publisher

ieee

ISSN

1045-9227

Type

jour

DOI

10.1109/TNN.2006.888373

Filename

4049821