# Considering Slow Manifold Based Model Reduction for Multiscale Chemical Optimal Control Problems

Source: [Considering Slow Manifold Based Model Reduction for Multiscale Chemical Optimal Control Problems](<https://www.sota2.com/research/paper/68fa55ff1e209131ce99913f>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T13:54:45.356Z

Authors: Marcus Heitel, Robin Verschueren, Moritz Diehl, Dirk Lebiedz

Published: 2017-12-04T13:21:37.000Z

## Abstract

Finite-dimensional dissipative dynamical systems with multiple time-scales are obtained when modeling chemical reaction kinetics with ordinary differential equations. Such stiff systems are computationally hard to solve and therefore, optimal control problems which contain ordinary differential equations as infinitesimal constraints are even more difficult to handle. Model reduction might offer an approach to improve numerical efficiency as well as avoiding stiffness of such models. We show in this paper in benchmark fashion how attracting manifold computation methods could be exploited to solve optimal control more efficiently while having in mind the ambitious long-term goal to apply them to real-time control problems in chemical kinetics.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1712.01058>)

[PDF](<https://arxiv.org/pdf/1712.01058.pdf>)