Email this article Generalized Maximum Principle in Optimal Control
- Authors: Avakov E.R.1,2, Magaril-Il’yaev G.G.2,3
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Affiliations:
- Trapeznikov Institute of Control Sciences
- Faculty of Mechanics and Mathematics
- Kharkevich Institute for Information Transmission Problems
- Issue: Vol 98, No 3 (2018)
- Pages: 575-578
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225585
- DOI: https://doi.org/10.1134/S1064562418070116
- ID: 225585
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Abstract
The concept of a local infimum for an optimal control problem is introduced, and necessary conditions for it are formulated in the form of a family of “maximum principles.” If the infimum coincides with a strong minimum, then this family contains the classical Pontryagin maximum principle. Examples are given to show that the obtained necessary conditions strengthen and generalize previously known results.
About the authors
E. R. Avakov
Trapeznikov Institute of Control Sciences; Faculty of Mechanics and Mathematics
Author for correspondence.
Email: eramag@mail.ru
Russian Federation, Moscow, 117997; Moscow, 119991
G. G. Magaril-Il’yaev
Faculty of Mechanics and Mathematics; Kharkevich Institute for Information Transmission Problems
Email: eramag@mail.ru
Russian Federation, Moscow, 119991; Moscow, 127994
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