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A new version of necessary conditions for optimal control problems with differential algebraic equations

Title data

Kornienko, Igor ; Gerdts, Matthias:
A new version of necessary conditions for optimal control problems with differential algebraic equations.
In: Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012). - Melbourne, Australia : Think Business Events , 2012
ISBN 978-0-646-58062-3

Abstract in another language

Appealing to recent results for nonsmooth mixed constrained problems we derive new variants of necessary optimality conditions for optimal control problems involving differential algebraic equations. The analysis is quite suitable for index one problems with no need for the introduction of implicit functions. It is also suitable to some higher index problems.

Further data

Item Type: Article in a book
Refereed: Yes
Additional notes: 8 pages, CD-ROM, Paper No. 43, full paper

CONTENTS:
1. Introduction
2. Preliminaries
3. Index One: Nonsmooth Case
4. Index One: Differential Case
5. Higher Index Problems
6. A Companion Result
7. Conclusions
Keywords: optimal control; differential and algebraic equations; nonsmooth analysis; necessary conditions
Subject classification: Mathematics Subject Classification Code: 49K21 (49J15 49J21)
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Result of work at the UBT: No
DDC Subjects: 500 Science
Date Deposited: 22 Feb 2021 12:52
Last Modified: 23 Mar 2021 09:12
URI: https://eref.uni-bayreuth.de/id/eprint/63260