Robust asymptotic stability of uncertain neutral systems via LMI and GAs

Author

Lien, Chang-Hua ; Chang, Chih-Hsien ; Liao, Chih-Chieh ; Fan, Kuo-Kuang

Author_Institution

Dept. of Electr. Eng., I-Shou Univ., Kaohsiung, Taiwan

Volume

4

fYear

2003

fDate

5-8 Oct. 2003

Firstpage

3145

Abstract

In this paper, the robust asymptotic stability for a class of uncertain neutral system with time delays is considered. Based on Lyapunov theory, some stability criteria are derived. Delay-dependent and delay-independent criteria are proposed for the stability of our considered systems. Linear matrix inequality (LMI) approach and genetic algorithms (GAs) are used to solve the stability problems. Some numerical examples are illustrated to show the use of our obtained results.

Keywords

Lyapunov methods; delays; genetic algorithms; linear matrix inequalities; stability; uncertain systems; LMI; Lyapunov theory; delay-dependent criteria; delay-independent criteria; genetic algorithms; linear matrix inequality; robust asymptotic stability; time delays; uncertain neutral systems; Additive noise; Asymptotic stability; Biological system modeling; Delay effects; Mathematical model; Power system modeling; Robust stability; Stability criteria; Symmetric matrices; Transmission line matrix methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 2003. IEEE International Conference on

ISSN

1062-922X

Print_ISBN

0-7803-7952-7

Type

conf

DOI

10.1109/ICSMC.2003.1244374

Filename

1244374