Equivalent Models, Maximum Principle and Optimal Control of Continuous Biotechnological Process: Peculiarities and Problems

Abstract

A Brunovsky normal form model is introduced by using some differential geometry results for reduction of a non-linear kinetic model into equivalent linearised form. The transformed model is implemented for optimal control determination with the maximum principle.

Keywords

• Brunovsky normal form
• Optimal control
• Continuous biotechnological process
• Differential geometry