Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639318 | Journal of Computational and Applied Mathematics | 2013 | 19 Pages |
Abstract
The development of numerical methods for finding optimal solutions of control problems modeled by differential-algebraic equations (DAEs) is an important task. Usually restrictions are placed on the DAE such as being semi-explicit. Here the numerical solution of optimal control problems with linear time-varying DAEs as the process and quadratic cost functionals is considered. The leading coefficient is allowed to be time-varying and the DAE may be of higher index. Both a direct transcription approach and the solution of the necessary conditions are examined for two important discretizations.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Stephen L. Campbell, Peter Kunkel,