Geodesic
Transformations of Optimal Control Problems
Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 3, pp. 130-152

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The paper considers such transformations of variational and optimal control problems (by a change of phase variables) that help to get the solution. Among these techniques are methods of the dimensionality reduction by a transition from an original argument to a new one, by a detection of a variable staying unchanged through equations of the system (invariant), by extension of the original problem and a transition from it to a simpler problem that gives an estimate solution of the original one. In some cases we can get a solution that is simplified by a transition from a set of conditions in the form of differential equations to the only integral condition. This relates to equations with a retarded argument. The paper gives examples of application of these techniques to real engineering problems such as an optimal control of biosynthesis, cooling of crystal systems by a laser radiation, etc.
Keywords: optimum control, decision.
Mots-clés : transformation, variable condition 
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     author = {A. Tsirlin},
     title = {Transformations of {Optimal} {Control} {Problems}},
     journal = {Modelirovanie i analiz informacionnyh sistem},
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A. Tsirlin. Transformations of Optimal Control Problems. Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 3, pp. 130-152. http://geodesic.mathdoc.fr/item/MAIS_2013_20_3_a9/