期刊论文

Wang, Huiyuan

Wang, HY (reprint author), Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China.

Feng, Enmin,Xiu, Zhilong

2008-01-01

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

SCIE、EI

J

68

1

12-23

0362-546X

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

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.