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

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.