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论文类型：期刊论文
发表时间：2008-01-01
发表刊物：4th International Conference on Mathematical Biology (ICMB-4)
收录刊物：SCIE、CPCI-S、Scopus
卷号：38
期号：5,SI
页面范围：1745-1760
ISSN号：0035-7596
关键字：Bio-dissimilation; nonlinear multistage dynamical system; batch fermentation; optimal control
摘要：In this paper we study a nonlinear multistage dynamical system as well as its optimal control. Specifically, based on the batch fermentation including three different phases of bio-dissimilation of glycerol to 1,3-Propanediol by Klebsiella pneumonicae, the nonlinear multi-stage dynamical system is proposed. Then we discuss several properties of this nonlinear system. In order to optimize the initial state such that; the concentration of 1,3-Propanediol at terminal time is as large as possible, an optimal control model is established. We investigate the existence of the local maximizer. Furthermore, by using the infinite-dimensional optimization principle, the necessary condition for the optimal control problem is obtained. Finally, employing some properties of the feasible region, infinite-dimensional constraints can be transformed into finite-dimensional constraints.