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论文类型：期刊论文
发表时间：2010-02-01
发表刊物：NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
收录刊物：SCIE、EI、Scopus
卷号：11
期号：1
页面范围：131-138
ISSN号：1468-1218
关键字：Optimal control; Optimality function; Approximation error
摘要：A discrete optimal control model is given according to the discrete nonlinear dynamic system of continuous fermentations of glycerol to 1,3-propanediol (1,3-PD). The property of some major functions and their bounds on approximation errors are studied in this paper. Then. the conclusion that the optimality function of discrete optimal control model is the consistent approximation to one of the continuous optimal control model is proved. The results presented in this work can be used as guidelines for the optimal algorithm and its convergence. (C) 2008 Elsevier Ltd. All rights reserved.