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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2004, Volume 11, Number 3, Pages 314–330
(Mi jmag210)
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This article is cited in 6 scientific papers (total in 6 papers)
Strong stabilizability for a class of linear time delay systems of neutral type
Rabah Rabaha, Grigory Sklyarb a 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.
Received: 29.12.2003
Citation:
Rabah Rabah, Grigory Sklyar, “Strong stabilizability for a class of linear time delay systems of neutral type”, Mat. Fiz. Anal. Geom., 11:3 (2004), 314–330
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https://www.mathnet.ru/eng/jmag210 https://www.mathnet.ru/eng/jmag/v11/i3/p314
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Abstract page: | 178 | Full-text PDF : | 66 |
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