Delay-Dependent Criteria for Robust Stability of Singularly Perturbed Systems with Delays

Author

Liu, Li-li ; Peng, Ji-gen ; Wu, Bao-wei

Author_Institution

Dept. of Math., Xi´´an Jiaotong Univ., Xi´´an, China

fYear

2010

fDate

17-19 Dec. 2010

Firstpage

1

Lastpage

4

Abstract

This paper considers the problem of delay-dependent robust stability for singularly perturbed systems with state delays. Some new delay-dependent stability criteria are derived by employing appropriate Lyapunov-Krasovskii functional. Since some free weighting matrices are used to express the relationship between the terms in the Leibniz-Newton formula, the new criteria are less conservative than existing ones. Numerical examples illustrate the effectiveness of the new theory.

Keywords

Lyapunov matrix equations; delays; linear matrix inequalities; robust control; singularly perturbed systems; Leibniz Newton formula; Lyapunov Krasovskii functional; delay dependent robust stability; free weighting matrix; singularly perturbed system; Asymptotic stability; Delay; Delay effects; Numerical stability; Stability criteria; Symmetric matrices; Lyapunov-Krasovskii functional; linear matrix inequality; robust stability; singularly perturbed systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational and Information Sciences (ICCIS), 2010 International Conference on

Conference_Location

Chengdu

Print_ISBN

978-1-4244-8814-8

Electronic_ISBN

978-0-7695-4270-6

Type

conf

DOI

10.1109/ICCIS.2010.8

Filename

5708998