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Chapitre D'ouvrage Année : 2009

Stabilization of neutral time-delay systems

Résumé

This paper addresses the stabilization problem for neutral time-delay systems. Starting from a transfer approach, we develop a general algebraic framework for the study of the stabilization. The stability considered in this paper is the exponential one. We introduce a class of generalized operators, and we show the existence of a coprime factorization over this class. The main result of this paper concerns strictly proper systems that are not formally stable. It is shown that any stabilizing compensator, which is a real rational fraction in two independent algebraic variables, is necessarily not proper.

Dates et versions

hal-00456340 , version 1 (14-02-2010)

Identifiants

Citer

Michaël Di Loreto, Catherine Bonnet, Jean-Jacques Loiseau. Stabilization of neutral time-delay systems. Topics in Time Delay Systems: Analysis, Algorithms and Control, Springer-Verlag, pp.209-219, 2009, Lecture Notes in Control and Information Sciences, vol. 388 (http://springerlink.com/content/110315/), ⟨10.1007/978-3-642-02897-7_18⟩. ⟨hal-00456340⟩
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