Exact null controllability, complete stabilizability and continuous final observability of neutral type systems-Reference-Cited by-同舟云学术

Exact null controllability, complete stabilizability and continuous final observability of neutral type systems

Published:2017-09-01 Issue:3 Volume:27 Page:489-499
ISSN:2083-8492
Container-title:International Journal of Applied Mathematics and Computer Science
language:en
Short-container-title:

Author:

Rabah Rabah¹,Sklyar Grigory²,Barkhayev Pavel³

Affiliation:

1. Research Institute of Communication and Cybernetics , IMT Atlantique , Mines-Nantes, 4 rue Alfred Kastler, BP 20722, 44307 Nantes , France

2. Institute of Mathematics , University of Szczecin , Wielkopolska 15, 70-451 Szczecin , Poland

3. Institute for Low Temperature Physics and Engineering , National Academy of Sciences , 47 Lenin Ave., 61103 Kharkiv , Ukraine

Abstract

Abstract For abstract linear systems in Hilbert spaces we revisit the problems of exact controllability and complete stabilizability (stabilizability with an arbitrary decay rate), the latter property being related to exact null controllability. We also consider the case when the feedback is not bounded. We obtain a characterization of complete stabilizability for neutral type systems. Conditions for exact null controllability of neutral type systems are discussed. By duality, we obtain a result about continuous final observability. Illustrative examples are given.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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