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- W2471556955 abstract "(2) and the corresponding bmmdary conditions. The external load can be taken as a control parameter. Thus, varying q(x, y, t), we obtain the optimal (from a certain point of view) characteristics of the dynamic process. Let q(x, y, t) = F(t)5(x-~F)6(Y-V F), where 6 is the Dirac delta function; (F and '~F are the coordinates of the point of application of F(t). It is necessary to find the control action F(t) that, in the minimttrn possible time T, eliminates the oscillations of the plate, the state of which is described by Eq. (1) for known initial and boundary conditions. The total energy of the control device expended in extinguishing the oscillations is bounded by the value 12 i.e., T .f F'- (t) dt < l. (3) 0" @default.
- W2471556955 created "2016-07-22" @default.
- W2471556955 creator A5051607359 @default.
- W2471556955 date "1974-01-01" @default.
- W2471556955 modified "2023-09-24" @default.
- W2471556955 title "We consider the optimal control of a dynamic process in a plate. As the optimality criterion we take the minimum time for extinguishing an arbitrary type of oscillation. We assume that the expenditures of energy of the control device are limited; for the solution of the problem we take the apparatus of Krein's theory of l-moments." @default.
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