DELAY-DEPENDENT ROBUST STABILITY OF TIME DELAY SYSTEMS - LAAS - Laboratoire d'Analyse et d'Architecture des Systèmes
Conference Papers Year : 2006

DELAY-DEPENDENT ROBUST STABILITY OF TIME DELAY SYSTEMS

Abstract

In this note, we provided an improved way of constructing a Lyapunov-Krasovskii functional for a linear time delay system. This technique is based on the reformulation of the original system and a discretization scheme of the delay. A hierarchy of Linear Matrix Inequality based results with increasing number of variables is given and is proved to have convergence properties in terms of conservatism reduction. Examples are provided which show the effectiveness of the proposed conditions.
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Dates and versions

hal-00401025 , version 1 (02-07-2009)
hal-00401025 , version 2 (02-07-2009)

Identifiers

  • HAL Id : hal-00401025 , version 2

Cite

Frédéric Gouaisbaut, Dimitri Peaucelle. DELAY-DEPENDENT ROBUST STABILITY OF TIME DELAY SYSTEMS. 5th IFAC Symposium on Robust Control Design, Jul 2006, Toulouse, France. 12p. ⟨hal-00401025v2⟩
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