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An augmented model for robust stability analysis of time-varying delay systems. (English) Zbl 1190.93076
Summary: 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.

MSC:
93D09 Robust stability
34H05 Control problems involving ordinary differential equations
93C05 Linear systems in control theory
15A39 Linear inequalities of matrices
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