Exact null controllability, complete stabilizability and exact final observability: the case of neutral type systems

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 is equivalent to exact null controllability. We extend this result to the case when the feedback is not boun...

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Bibliographic Details
Published in:International journal of applied mathematics and computer science 2017-09, Vol.27 (3), p.489-499
Main Authors: Rabah, Rabah, Sklyar, Grigory M., Barkhayev, Pavel Yu
Format: Article
Language:English
Subjects:
Dynamical Systems
Mathematics
Optimization and Control
Online Access:Get full text
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Summary: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 is equivalent to exact null controllability. We extend this result to the case when the feedback is not bounded. This enables the characterization of exact null controllability and complete stabilizability for neutral type systems. By duality, we obtain a result about continuous final observability.Illustrative examples are given.
ISSN:1641-876X
2083-8492
DOI:10.1515/amcs-2017-0034