AVERAGED CONTROLLABILITY OF THERMOELASTICITY EQUATIONS. AVERAGE STATE OF A RECTANGULAR PLATE

Authors

  • Samvel H. Jilavyan Chair of Mechanics, YSU, Armenia
  • Asatur Zh. Khurshudyan Institute of Mechanics of NAS RA, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2021.55.2.123

Keywords:

averaged controllability, mathematical expectation, controllability of PDEs

Abstract

The concept of averaged controllability has been introduced relatively recently aiming to analyse the controllability of systems or processes containing some important parameters that may affect the controllability in usual sense. The averaged controllability of various specific and abstract equations has been studied so far. Relatively little attention has been paid to averaged controllability of coupled systems. The averaged state of a thermoelastic rectangular plate is studied in this paper using the well-known Green's function approach. The aim of the paper is to provide a theoretical background for further exact and approximate controllability analysis of fully coupled thermoelasticity equations which will appear elsewhere.

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Published

2021-08-30

How to Cite

Jilavyan, S. H., & Khurshudyan, A. Z. (2021). AVERAGED CONTROLLABILITY OF THERMOELASTICITY EQUATIONS. AVERAGE STATE OF A RECTANGULAR PLATE. Proceedings of the YSU A: Physical and Mathematical Sciences, 55(2 (255), 123–130. https://doi.org/10.46991/PYSU:A/2021.55.2.123

Issue

Section

Mechanics