Power-Rate Global Stability of Dynamical Systems With Unbounded Time-Varying Delays

Author

Chen, Tianping ; Wang, Lili

Author_Institution

Fudan Univ., Shanghai

Volume

54

Issue

8

fYear

2007

Firstpage

705

Lastpage

709

Abstract

In this brief, dynamical systems with unbounded time-varying delays are investigated. Two approaches are developed to derive sufficient conditions ensuring the existence, uniqueness of the equilibrium and its global stability. Moreover, different from globally asymptotical stability and globally exponential stability, a new concept of stability, global power stability, is proposed. Under mild conditions, we prove that the dynamical systems with unbounded time-varying delays are globally power stable.

Keywords

asymptotic stability; delays; linear matrix inequalities; neural nets; time-varying systems; artificial neural network; dynamical systems; globally asymptotical stability; globally exponential stability; linear matrix inequality; power-rate global stability; unbounded time-varying delays; Artificial neural networks; Asymptotic stability; Delay effects; Delay systems; Linear matrix inequalities; Neural networks; Power system modeling; Stability criteria; Sufficient conditions; Time varying systems; Equilibrium point; globally power stability; linear matrix inequality (LMI); unbounded time-varying delays;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2007.898476

Filename

4277921