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Journal Articles Journal of Optimization Theory and Applications Year : 2022

Singular arcs in optimal periodic control problems with scalar dynamics and integral input constraint

Abstract

We revisit recent results about optimal periodic control for scalar dynamics with input integral constraint, under lack of convexity and concavity. We show that in this more general framework, the optimal solutions are bang-singular-bang and generalize the bang-bang solutions for the convex case and purely singular for the concave one. We introduce a non-local slope condition to characterize the singular arcs. The results are illustrated on a class of bioprocesses models.
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hal-03740426 , version 1 (29-07-2022)

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Thomas Guilmeau, Alain Rapaport. Singular arcs in optimal periodic control problems with scalar dynamics and integral input constraint. Journal of Optimization Theory and Applications, 2022, 195, pp.548-574. ⟨10.1007/s10957-022-02095-y⟩. ⟨hal-03740426⟩
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