GENERALIZED METHOD OF MOMENTS AS APPLIED TO THE PROBLEM OF OPTIMAL CONTROL OF A HYPERBOLIC SYSTEM WITH LINEAR CONSTRAINTSстатья
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Аннотация:The authors consider the problem of optimal control of oscillatory processes, such as the vibrations of a string, when the objective functional characterizes the energy of the system at a specified point in time, while the control on the right side of the equation satisfies linear constraints. The existence of optimal controls is established; the structure of the set of optimal controls is clarified; the scheme of the generalized method of moments is written out; and computational aspects are discussed.