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

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3 Author(s)
Li-li Liu ; Dept. of Math., Xi'an Jiaotong Univ., Xi'an, China ; Ji-gen Peng ; Bao-wei Wu

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.

Published in:

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

Date of Conference:

17-19 Dec. 2010