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Optimality conditions for systems with insufficient data
Published online by Cambridge University Press: 17 April 2009
Abstract
In this paper we use the Dubovitski–Milyutin formalism to establish necessary and sufficient conditions for optimality in a nonlinear, distributed parameter control system, with convex cost criterion and initial condition not given a priori (that is it is not a known function but instead it belongs to a specified set). Our result extends a recent theorem of Lions. Finally a concrete example is worked out in detail.
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- Copyright © Australian Mathematical Society 1990
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