Approximate controllability of second order infinite dimensional systems

Autor: Jerzy Klamka, Asatur Zh. Khurshudyan
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Archives of Control Sciences, Vol vol. 31, Iss No 1, Pp 165-184 (2021)
Druh dokumentu: article
ISSN: 1230-2384
DOI: 10.24425/acs.2021.136885
Popis: In the paper approximate controllability of second order infinite dimensional system with damping is considered. Applying linear operators in Hilbert spaces general mathematical model of second order dynamical systems with damping is presented. Next, using functional analysis methods and concepts, specially spectral methods and theory of unbounded linear operators, necessary and sufficient conditions for approximate controllability are formulated and proved. General result may be used in approximate controllability verification of second order dynamical system using known conditions for approximate controllability of first order system. As illustrative example using Green function approach approximate controllability of distributed dynamical system is also discussed.
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