ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Asymptotic Solution of Optimal Control Problem for Linear Plate under External Action

Author(s):

A. A. Abramian

Institute for Problems of Mechanical Engineering,
Russian Academy of Sciencies,
V.O.Bolshoy pr.61, 199178 St.Petersburg, RUSSIA,

abramian@math.ipme.ru

S. A. Vakulenko

Institute for Problems of Mechanical Engineering,
Russian Academy of Sciencies,
V.O.Bolshoy pr.61, 199178 St.Petersburg, RUSSIA,

abramian@math.ipme.ru

Abstract:

The problem of finding of asymptotic solutions for optimal control of a linear plate under external force has been solved for two cases. The first is the case when external force change in time slower then internal processes which characterize the plate behaviour. The second case is a case of fast oscillating external force. The solutions found can be physicaly exicuted.

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