Email this article A New Discrete Analogue of Pontryagin’s Maximum Principle
- Authors: Mardanov M.J.1,2, Melikov T.K.1,3
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Affiliations:
- Institute of Mathematics and Mechanics
- Baku State University
- Institute of Control Systems
- Issue: Vol 98, No 3 (2018)
- Pages: 549-551
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225578
- DOI: https://doi.org/10.1134/S1064562418070049
- ID: 225578
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Abstract
By introducing the concept of a γ-convex set, a new discrete analogue of Pontryagin’s maximum principle is obtained. By generalizing the concept of the relative interior of a set, an equality-type optimality condition is proved, which is called by the authors the Pontryagin equation.
About the authors
M. J. Mardanov
Institute of Mathematics and Mechanics; Baku State University
Author for correspondence.
Email: misir.mardanov@imm.az
Azerbaijan, Baku, AZ1141; Baku, AZ1148
T. K. Melikov
Institute of Mathematics and Mechanics; Institute of Control Systems
Email: misir.mardanov@imm.az
Azerbaijan, Baku, AZ1141; Baku, AZ1141
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