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The purpose of this paper is to present a mathematical model intended for the description and analysis of patterns. As buildingblocks for this model will serve certain simple but foundamental concepts: signs, configurations, and images. These are related by similarity, synonymity and deformation transformations. Using these concepts it is shown how patterns can be analysed into elementary parts, both...
A method is presented for the computation of optimal control for linear stochastic discrete systems when the control variable is a bounded scalar. The main part of the paper deals with the continuous time problem. The cases with and without penalty on the control variable are studied separately, and expressions for the optimal policy, and the average cost obtained. The best linear policy is investigated,...
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