This article is cited in 6 papers

Strong stabilizability for a class of linear time delay systems of neutral type

Rabah Rabah^a, Grigory Sklyar<sup>b

a</sup> IRCCyN/École des Mines, 1 rue de la Noë, BP 92101, F-44321 Nantes Cedex 3, France
^b Institute of Mathematics, Szczecin University, Wielkopolska Str., 15, Szczecin, 70451, Poland

Abstract: We consider the strong stabilizability problem for delayed systems of neutral type. For simplicity the case of one delay in state is studied. We distinguish a special class of such systems for which we give a constructive solution, without using the derivative of the localized delayed state. Our results are based on an abstract theorem on the strong stabilizability of contractive systems in Hilbert space. An illustrative example is also given.

MSC: 93D15, 93C23

Received: 29.12.2003

Language: English

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