Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642901 | Journal of Computational and Applied Mathematics | 2007 | 17 Pages |
Abstract
Direct transcription methods are used to solve optimal control problems in many industrial settings. Models for physical systems often take the form of differential algebraic equations (DAEs). The index of the DAE traditionally is viewed as an important factor in deciding whether a particular numerical approach should be used. Recently it has been observed that what the user thinks is the index of the DAE may not be the same as the index available to the optimization software. An investigation of this fact is underway in order to develop guidelines to assist users of various numerical optimal control packages. This paper develops some theoretical results that will be needed for this development.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Stephen L. Campbell, Roswitha März,