Email this article Mix of Controls and the Pontryagin Maximum Principle
- Authors: Avakov E.R.1, Magaril-Il’yaev G.G.2,3
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Affiliations:
- Institute of Control Sciences, Russian Academy of Sciences
- Institute for Information Transmission Problems, Russian Academy of Sciences
- Faculty of Mechanics and Mathematics, Moscow State University
- Issue: Vol 217, No 6 (2016)
- Pages: 672-682
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238131
- DOI: https://doi.org/10.1007/s10958-016-2999-3
- ID: 238131
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Abstract
In this paper, necessary conditions for a minimum (the Pontryagin maximum principle) for an optimal control problem are proved on the basis of the concept of a mix, which enables one to reduce the study of the original problem to some approximation thereof, which is linear in the control. The study of the latter problem proves more simple.
About the authors
E. R. Avakov
Institute of Control Sciences, Russian Academy of Sciences
Author for correspondence.
Email: eramag@mail.ru
Russian Federation, Moscow
G. G. Magaril-Il’yaev
Institute for Information Transmission Problems, Russian Academy of Sciences; Faculty of Mechanics and Mathematics, Moscow State University
Email: eramag@mail.ru
Russian Federation, Moscow
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