Input/state invariant LQ-optimal control: application to competitive coexistence in a chemostat
type: Item
instance of: scholarly article
title: Input/state invariant LQ-optimal control: application to competitive coexistence in a chemostat
zbMATH Open document ID: 1332.93147
author: Charlotte Beauthier
author: J. J. Winkin
author: D. Dochain
published in: Evolution Equations and Control Theory
publication date: 2016-03-10T00:00:00Z
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 49N10
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C95
zbMATH DE Number: 6553332
zbMATH Keywords: linear quadratic (LQ) problem
zbMATH Keywords: invariant systems
zbMATH Keywords: optimal control
zbMATH Keywords: state constraints
zbMATH Keywords: input constraints
zbMATH Keywords: chemostat model
zbMATH Keywords: coexistence problem
MaRDI profile type: Publication
full work available at URL: eect.2015.4.143
OpenAlex ID: W1687616887
cites work: Implementing the Simplex Method: The Initial Basis
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: A Mathematical Model of the Chemostat with Periodic Washout Rate
cites work: A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
cites work: Modeling and analysis of mass-action kinetics
cites work: Crowding effects promote coexistence in the chemostat
cites work: Q3437506
cites work: Feedback control for chemostat models
cites work: A competition model for a seasonally fluctuating nutrient
cites work: Optimality and robustness of linear quadratic control for nonlinear systems
cites work: Q4454736
cites work: Feedback-mediated coexistence and oscillations in the chemostat
cites work: Remarks on output feedback stabilization of two-species chemostat models
cites work: Controlled Growth of Competing Species
cites work: Long run coexistence in the chemostat with multiple species
cites work: Coexistence in the design of a series of two chemostats
cites work: Q4834372
cites work: The Theory of the Chemostat
DOI: 10.3934/EECT.2015.4.143
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description: scientific article; zbMATH DE number 6553332