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Communication Dans Un Congrès Année : 2018

Constant versus periodic control under integral constraint on the input – applications to populations models

Résumé

This presentation is about periodic optimal control problems governed by a system, linear w.r.t. the control u, under an integral constraint on u. In the one-dimensional setting, we give conditioon on the value of the cost function at steady state with a constant control \bar u can be improved by considering periodic controls u(.) with average value equal to \bar u. This leads to the so-called "over-yielding" met in several applications such as in resource-consumer models.With the use of the Pontryagin Maximum Principle, we provide the optimal synthesis of periodic strategies under the integral constraint. The results will be illustrated on a single population model in order to study the effect of periodic inputs on the utility of the stock of resource.
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Dates et versions

hal-01832214 , version 1 (06-07-2018)

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  • HAL Id : hal-01832214 , version 1

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Térence Bayen, Alain Rapaport, Fatima Zahra Tani. Constant versus periodic control under integral constraint on the input – applications to populations models. 14th Viennese Conference on Optimal Control and Dynamic Games , Jul 2018, Vienna, Austria. ⟨hal-01832214⟩
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