Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal.inrae.fr/hal-03103030
Contributor : Alain Rapaport <>
Submitted on : Thursday, January 7, 2021 - 9:00:36 PM
Last modification on : Saturday, May 1, 2021 - 3:49:41 AM
Long-term archiving on: : Thursday, April 8, 2021 - 7:58:56 PM

File

Periodic_control___singular_ar...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03103030, version 1

Citation

Thomas Guilmeau, Alain Rapaport. Singular arcs in optimal periodic control problems with scalar dynamics and integral input constraint. 2021. ⟨hal-03103030⟩

Share

Metrics

Record views

124

Files downloads

33