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

I. Kornienko, M. Gerdts, M. de Pinho: 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), July 9-13, 2012, Melbourne, Australia, Melbourne, Australia, 2012, 8 pages, CD-ROM, Paper No. 43, full paper

Smart-Link: http://mtns2012.conference.net.au/Full%20Paper/MTNS2012_0043_paper.pdf
ISBN/ISSN/ISMV Nummer: 978-0-646-58062-3
Keywords: optimal control; differential and algebraic equations; nonsmooth analysis; necessary conditions
Mathematics Subject Classification Code: 49K21 (49J15 49J21)
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Abstract:

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.

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

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