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

• Autorzy: Rabah R. , Sklyar G. , Barkhayev P.

Identyfikatory

DOI

10.1515/amcs-2017-0034

• Języki publikacji: EN

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.

Słowa kluczowe

EN

exact null controllability; complete stabilizability; final observability; neutral type system

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2017
• Tom: Vol. 27, no. 3
• Strony: 489--499
• Opis fizyczny: Bibliogr. 41 poz.

Twórcy

autor

Rabah R.

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

autor

Sklyar G.

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

autor

Barkhayev P.

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

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).