Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2008-01-01

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

Included Journals: Scopus、CPCI-S、SCIE

Volume: 38

Issue: 5,SI

Page Number: 1745-1760

ISSN: 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.