Approximate controllability of second order infinite dimensional systems

• Autorzy: Klamka Jerzy , Khurshudyan Asatur Zh.

Identyfikatory

DOI

10.24425/acs.2021.136885

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

infinite dimensional systems; approximate controllability; Green’s function approach; flexible Kirchhoff–Love plate

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2021
• Tom: Vol. 31, No. 1
• Strony: 165--184
• Opis fizyczny: Bibliogr. 35 poz., wory

Twórcy

autor

Klamka Jerzy

• Department of Measurements and Control Systems, Silesian University of Technology, Gliwice, Poland

autor

Khurshudyan Asatur Zh.

• Institute of Mechanics, NAS of Armenia

Bibliografia

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Uwagi

1. The work of the first author is supported by National Science Centre in Poland under grant: “Modelling, optimization and control for structural reduction of device noise”, DEC-2017/25/B/ST7/02236.

2. Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).