Delay-dependent stability analysis of linear system with multiple state delays

Author

Dey, Rajeeb ; Ghosh, Sandip ; Ray, Goshaidas

Author_Institution

Dept. of Electr. Eng., Indian Inst. of Technol., Kharagpur

fYear

2007

fDate

9-11 Aug. 2007

Firstpage

255

Lastpage

260

Abstract

Delay-dependent stability analysis of systems with multiple time-varying delays is considered. A smaller dimensional linear matrix inequality (LMI) involving less number of matrix variables compared to the method of He et al. 2004 is derived, which offers less constrained LMI and hence it is numerically advantageous. The results of this paper are illustrated by considering numerical examples and compared with existing approaches, which shows the effectiveness of the proposed stability criteria in terms of conservativeness in delay bound and also bears less computational complexity.

Keywords

delay systems; linear matrix inequalities; linear systems; stability; stability criteria; time-varying systems; LMI; computational complexity; delay-dependent stability analysis; linear matrix inequality; linear system; matrix variables; multiple state delays; stability criteria; Computational complexity; Delay effects; Delay systems; Helium; Information systems; Linear matrix inequalities; Linear systems; Stability analysis; Stability criteria; Time varying systems; Delay-dependent stability; Linear matrix inequality; Lyapunov-Krasovskii functional; Time-varying delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial and Information Systems, 2007. ICIIS 2007. International Conference on

Conference_Location

Penadeniya

Print_ISBN

978-1-4244-1151-1

Electronic_ISBN

978-1-4244-1152-8

Type

conf

DOI

10.1109/ICIINFS.2007.4579184

Filename

4579184