The Equivalence of Some Necessary Conditions for Optimal Control in Problems with Bounded State Variables.

by Leonard David Berkovitz, Stuart E. Dreyfus


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A review of basic supporting studies in mathematics. Three earlier papers on a particular problem of optimal control, wherein a constraint is placed on the state variable, are considered, in order to show that the three sets of results are actually equivalent in spite of their apparent differences. This resolution should interest both those concerned with practical applications and those concerned with the theory of optimal control processes.

This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

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