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Indexed by:期刊论文

Date of Publication:2008-01-01

Journal:NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Included Journals:SCIE、EI

Volume:68

Issue:1

Page Number:12-23

ISSN No.:0362-546X

Key Words:nonlinear impulsive system; fed-batch fermentation; optimal control; optimality condition

Abstract:Based on the nonlinear impulsive system of fed-batch fermentation, which is used in the process of bio-dissimilation of glycerol to 1,3-propanediol by Klebsiella pneumoniae, this paper is concerned with the optimal control of the volumes of infused glycerol at impulsive moments. The optimal control model is developed. The authors study the properties of both the nonlinear impulsive system and the solution of it, and ascertain the existence of the optimal control. Then the optimality condition is obtained, which can be used as a necessary condition that the optimal control should satisfy. (C) 2006 Elsevier Ltd. All rights reserved.