Stability of time-delay systems, Keqin Gu, Vladimir L. Kharitonov, Jie Chen, Birkhäuser, Boston, 2003, ISBN 0-8176-4212-9.

Olivier Sename (1)

1 LAG - Laboratoire d'automatique de Grenoble

The importance oftime delays in control is now well recognized in a wide range ofapplications (transportation systems, communication networks, teleoperation systems, etc.). However, even ifsome fundamental results were obtained 40 years ago during the early space explorations (Bellman & Cooke, 1963; Morse, 1976; Kamen, 1978; Manitius &Triggiani, 1978), time-delay systems have actually been the subject ofintensi ve research works since the nineties. This is probably due to the new emerging applications in engineering (such as network controlled systems) combined with new theoretical results, that allowed one to solve some open problems (decoupling problems, stabilization, robustness, etc.) and to give less and less conservative results. Ofcourse applications motivate the need oftheory , which in return makes the control applications possible. As a preamble, let us briefly recall that a time-delay system may be described by different models such as functional differential equations (Hale, 1977), infinite dimensional systems over operators (Curtain & Pritchard, 1978), or ring models (Morse, 1976). Tools for each class of systems may then allow one to derive results for time-delay systems. This book is concerned with the stability oftime-delay systems (described by functional differential equations) and focuses on recent methods leading to computable criteria which can deal with uncertainties. It emphasizes efficiently the interest in Linear Matrix Inequalities (LMIs) which provide useful criteria for (robust) stability, as well as the conservatism induced by each considered method

Domaines: Automatique / Robotique

Olivier Sename. Stability of time-delay systems, Keqin Gu, Vladimir L. Kharitonov, Jie Chen, Birkhäuser, Boston, 2003, ISBN 0-8176-4212-9.. Automatica, 2005, 41 (12), pp.2181-2183. ⟨hal-00368539⟩