An augmented model for robust stability analysis of time-varying delay systems

作者：Ariba Yassine^*; Gouai**aut Frederic

来源：International Journal of Control, 2009, 82(9): 1616-1626.

DOI：10.1080/00207170802635476

• time-varying delay systems
• stability analysis
• Lyapunov-Krasovskii theory
• linear matrix inequalities

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.

• 出版日期2009