Skip to main content

Table 2 Variable matrices optimized by nonlinear programming

From: Efficient estimation of the maximum metabolic productivity of batch systems

Variable

Shape

Description

\(\mathbf {X}\)

\((N_X, N_K, N_\text{D})\)

Nodes of the Lagrange polynomials interpolating \(\mathbf {x}(t)\)

\(\mathbf {Y}\)

\((N_\text{F}, N_R)\)

Fractional expression of each elementary mode by stage

\(\mathbf {A}\)

\((N_K, N_\text{D})\)

Total flux at each collocation point

\(\mathbf {h}\)

\((N_\text{F})\)

Length of each of the finite elements within a stage

  1. These matrices are flattened to a single parameter vector prior to being passed to IPOPT