Study of a controlled Kolmogorov periodic equation connected to the optimization of periodic bioprocess
type: Dataset
description: This paper is devoted to the study of a one-dimensional optimal control problem of Lagrange type under periodic constraints. The system is governed by a Kolmogorov equation including a control term. We show that the set of initial conditions for which there exists a control such that the associated trajectory is periodic is an interval. Thanks to Pontryagin Maximum Principle, we characterize optimal controls whenever the dynamics has two autonomous phases. Finally, we provide numerical simulation of the problem for a system describing a periodic photobioreactor.
landing page: https://hal.science/hal-00855054
keyword: chemostat
keyword: infoeu-reposemanticsreport
keyword: kolmogorov-differential-equation
keyword: mathmath-ocmathematics-mathoptimization-and-control-mathoc
keyword: periodic-differential-equation
keyword: pontryagin-maximum-principle
keyword: reports
issued: 2026-05-09T23:52:06.277402
modified: 2026-05-09T23:52:06.277407
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Study of a controlled Kolmogorov periodic equation connected to the optimization of periodic bioprocess
type: Distribution
format: HTML
access URL: https://hal.science/hal-00855054
issued: 2026-05-09T23:52:06.289520
modified: 2026-05-09T23:52:06.267705