Abstract
A discussion is given of the optimum control policy for shutting down a reactor which, by carefully controlling the reactor power over a specified period of time (of the order of several hours), will minimize the peak poisoning. The problem of finding the optimum control is solved by a method devised by Fedorenko by which numerical solutions can be obtained for non-linear control problems. The method consists of a process of iteration whereby a certain initial (not optimum) control is systematically varied with the aim of reducing the value of the functional. This procedure leads quite rapidly to a control which is sufficiently close to the optimum. An analysis of a large number of numerical solutions allows some plausible assumptions to be made about the simple structure of the exact solution thethe problem.
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