A new method for the reconstruction of unknown non-monotonic growth functions in the chemostat

Abstract : We propose an adaptive control law that allows one to identify unstable steady states of the open-loop system in the single-species chemostat model without the knowledge of the growth function. We then show how to use a continuation method to reconstruct the whole graph of the growth function. Two variants, in continuous and discrete time, are presented. The case of two species in competition is also examined.
Document type :
Preprints, Working Papers, ...
Liste complète des métadonnées

Cited literature [14 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00723246
Contributor : Alain Rapaport <>
Submitted on : Wednesday, August 8, 2012 - 3:41:11 PM
Last modification on : Wednesday, November 7, 2018 - 11:10:06 PM
Document(s) archivé(s) le : Friday, November 9, 2012 - 2:31:07 AM

File

srrd.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00723246, version 1

Collections

Citation

Jan Sieber, Alain Rapaport, Mathieu Desroches, Serafim Rodrigues. A new method for the reconstruction of unknown non-monotonic growth functions in the chemostat. 2012. ⟨hal-00723246⟩

Share

Metrics

Record views

1040

Files downloads

155