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Conflict of Interest: In relation to this article, we declare that there is no conflict of interest.

Publication history: Received August 23, 2023
Accepted August 23, 2023

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Analytical studies of Jacobson’s necessary condition for fed-batch singular control optimization

Hwa Sung Shin^†

Department of Biological Engineering, Inha University, Incheon 402-751, Korea

hsshin@inha.ac.kr

Korean Journal of Chemical Engineering, March 2011, 28(3), 886-889(4), 10.1007/s11814-010-0448-4

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Abstract

Jacobson’s necessary condition for optimality guarantees non-negativity of singular second variation, independently of generalized Legendre-Clebsch condition. Fed-batch is a typical singular bioprocess system. However, no reports exist of using Jacobson’s necessary condition in fed-batch optimization problem. This paper suggests its applicability to fed-batch optimization problem by showing its analytical studies for two typical examples: cell mass and metabolite maximization problem.

Keywords

Jacobson’s Necessary Condition Fed-batch Singular Control Optimization

References

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Bell DJ, Jacobson DH, Singular Optimal Control Problems, Academic Press, New York (1975)
Jacobson DH, SIAM J. Control., 7, 578 (1969)