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Indexed by:期刊论文

Date of Publication:2008-01-01

Journal:4th International Conference on Mathematical Biology (ICMB-4)

Included Journals:SCIE、CPCI-S、Scopus

Volume:38

Issue:5,SI

Page Number:1745-1760

ISSN No.:0035-7596

Key Words:Bio-dissimilation; nonlinear multistage dynamical system; batch fermentation; optimal control

Abstract: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.