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Date:2019-03-10

Indexed by:Journal Article

Date of Publication:2008-11-01

Journal:NONLINEAR ANALYSIS-HYBRID SYSTEMS

Included Journals:Scopus、EI、SCIE

Volume:2

Issue:4

Page Number:1168-1174

ISSN:1751-570X

Key Words:Switching system; Optimal control; Optimality condition; Fed-batch culture

Abstract:In fed-batch culture of glycerol bio-dissimilation to 1,3-propanediol (1,3-PD), the aim of adding glycerol is to obtain as much 1,3-PD as possible. Hence, a proper feed strategy is required during the process. In this paper, we present an optimal switching control model based on our proposed controlled switching system. Some properties of the controlled switching system are obtained. Subsequently, we prove the existence of optimal control. In order to deduce the optimality conditions, we transcribe the optimal switching control model into an equivalent one with fixed switching instants and parameters. Finally, the optimality conditions of the equivalent problem are investigated by calculus of variations. (C) 2008 Elsevier Ltd. All rights reserved.