Title :
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
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;
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
DOI :
10.1109/ICCIS.2010.8
