Email this article Pontryagin maximum principle, relaxation, and controllability
- Authors: Avakov E.R.1, 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 93, No 2 (2016)
- Pages: 193-196
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223542
- DOI: https://doi.org/10.1134/S1064562416020216
- ID: 223542
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Abstract
The relations between the necessary minimum conditions in an optimal control problem (Pontryagin maximum principle), the minimum conditions in the corresponding relaxation (weakened) problem, and sufficient conditions for the local controllability of the controlled system specifying the constraints in the original formulation are studied. An abstract optimization problem that models the basic properties of the optimal control problem is considered.
About the authors
E. R. Avakov
Trapeznikov Institute of Control Sciences
Email: magaril@mech.math.msu.su
Russian Federation, Profsoyuznaya ul. 65, Moscow, 117997
G. G. Magaril-Il’yaev
Faculty of Mechanics and Mathematics; Kharkevich Institute for Information Transmission Problems
Author for correspondence.
Email: magaril@mech.math.msu.su
Russian Federation, Moscow, 119992; Bolshoi Karetnyi per. 19/1, Moscow, 127994
