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

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Abstrakty
EN
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.
Twórcy
autor
  • Research Institute of Communication and Cybernetics, IMT Atlantique, Mines-Nantes, 4 rue Alfred Kastler, BP 20722, 44307 Nantes, France
autor
  • Institute of Mathematics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin, Poland
autor
  • Institute for Low Temperature Physics and Engineering, National Academy of Sciences, 47 Lenin Ave., 61103 Kharkiv, Ukraine
Bibliografia
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Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).
Typ dokumentu
Bibliografia
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