An augmented model for robust stability analysis of time-varying delay systems
- 15 July 2009
- journal article
- research article
- Published by Taylor & Francis Ltd in International Journal of Control
- Vol. 82 (9), 1616-1626
- https://doi.org/10.1080/00207170802635476
Abstract
Stability analysis of linear systems with time-varying delay is investigated. In order to highlight the relations between the variation of the delay and the states, redundant equations are introduced to construct a new modelling of the delay system. New types of Lyapunov–Krasovskii functionals are then proposed allowing to reduce the conservatism of the stability criterion. Delay-dependent stability conditions are then formulated in terms of linear matrix inequalities. Finally, several examples show the effectiveness of the proposed methodology.Keywords
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