Abstract

ABSTRACT In this paper it has been shown that—in the the general regulator problem—the methods of the calculus of variations, the principle of dynamic programming and Pontragi's maximum principle lead to the same equations for determining the optimal policy with respect to the general cost functional involving a positive definite function ot the terminal values of the variables plus an integral of a positive definite function. A numerical example has also been treated to illustrate the use of the theory in actual practtce.

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