Stability Analysis for Neural Networks with Time-Variable Delays

Author

Wu, Haixia ; Feng, Wei ; Zhang, Wei

Author_Institution

Coll. of Comput. Sci. & Eng., Chongqing Univ., Chongqing

Volume

2

fYear

2008

fDate

18-20 Oct. 2008

Firstpage

547

Lastpage

551

Abstract

In this paper, the stability of neural networks (NNs) with time-varying delays is investigated. By introducing a new Lyapunov-Krasovskii functional in virtue of the linearization of the model under investigation and considering the additional useful terms when estimating the upper bound of the derivative of Lyapunov functional, a new delay-dependent stability criterion is established in term of linear matrix inequality (LMI). Some numerical simulation examples aimed at justifying the theoretical results are also given.

Keywords

Lyapunov methods; delays; linear matrix inequalities; linearisation techniques; neural nets; stability; time-varying systems; LMI; Lyapunov-Krasovskii functional; delay-dependent stability criterion; linear matrix inequality; linearization; neural networks; stability analysis; time-variable delays; time-varying delays; Artificial neural networks; Asymptotic stability; Circuit stability; Computer networks; Computer science education; Delay effects; Educational institutions; Neural networks; Neurons; Stability analysis; Neural Networks; Stability; Time-variable Delays; linear matrix inequality (LMI);

fLanguage

English

Publisher

ieee

Conference_Titel

Natural Computation, 2008. ICNC '08. Fourth International Conference on

Conference_Location

Jinan

Print_ISBN

978-0-7695-3304-9

Type

conf

DOI

10.1109/ICNC.2008.551

Filename

4667055