ON THE OPTIMAL CONTROL FOR THE ELASTIC PLATE'S VIBRATIONS IN THE CONFLICT SITUATIONS

Authors

  • L. A. Mazmanyan Chair of Mechanics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2004.38.2.033

Keywords:

plate's linear vibrations, distributive disposed forces, differential game

Abstract

It is discussed the problem of an optimal control for the plate's linear vibrations, when the distributive disposed forces influence on it. The problem is solved by the method of Fourie and it is brought to the differential game, which is described by the infinitesimal differential equations of second order. The extremal strategies are constructed by the extreme targeting method. It is shown that if the resources of the first player are more than the resources of the second player and the influencing forces belong to class $L_2$, then the problem of damping of plate's vibrations is solved. In the end of the article a numerical example is given.

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Published

2004-04-30

How to Cite

Mazmanyan, L. A. (2004). ON THE OPTIMAL CONTROL FOR THE ELASTIC PLATE’S VIBRATIONS IN THE CONFLICT SITUATIONS. Proceedings of the YSU A: Physical and Mathematical Sciences, 38(2 (204), 33–38. https://doi.org/10.46991/PYSU:A/2004.38.2.033

Issue

Section

Mechanics