Stability of nonlinear time-delay systems with parameter uncertainties with an application to neural networks

Author

Ye, Hui ; Michel, A.N. ; Wang, Kaining

Author_Institution

Dept. of Electr. Eng., Notre Dame Univ., IN, USA

Volume

4

fYear

1995

fDate

21-23 Jun 1995

Firstpage

2772

Abstract

First considers a family of nonlinear time-delay systems with uncertainties and establishes sufficient conditions for the asymptotic stability of an equilibrium for this family. The authors then apply these results to the stability analysis of a class of artificial neural networks with transmission delays. These results require the verification of the definiteness of a certain matrix or the verification of a certain inequality. The authors´ results provide also a method of estimating the domain of attraction of an asymptotically stable equilibrium of the time-delay neural networks

Keywords

asymptotic stability; delay systems; delays; matrix algebra; neural nets; nonlinear control systems; artificial neural networks; asymptotic stability; asymptotically stable equilibrium; definiteness; domain of attraction; inequality; matrix; nonlinear time-delay systems; parameter uncertainties; time-delay neural networks; transmission delays; Delay effects; Embryo; Equations; Intelligent networks; Neural networks; Stability; Sufficient conditions; Transportation; Uncertainty; Very large scale integration;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, Proceedings of the 1995

Conference_Location

Seattle, WA

Print_ISBN

0-7803-2445-5

Type

conf

DOI

10.1109/ACC.1995.532354

Filename

532354