Second-Order Necessary Optimality Conditions in Optimal Impulsive Control Problems
- Authors: Arutyunov A.V.1,2,3, Karamzin D.Y.4, Pereira F.L.5, Chernikova N.Y.1
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Affiliations:
- Peoples’ Friendship University of Russia
- Lomonosov Moscow State University
- Kharkevich Institute for Information Transmission Problems of the Russian Academy of Sciences
- Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
- University of Porto
- Issue: Vol 54, No 8 (2018)
- Pages: 1083-1101
- Section: Control Theory
- URL: https://journals.rcsi.science/0012-2661/article/view/154820
- DOI: https://doi.org/10.1134/S0012266118080086
- ID: 154820
Cite item
Abstract
Impulsive optimal control problems are studied. Under the Frobenius conditions, second-order necessary optimality conditions are proved without any a priori normality assumptions.
About the authors
A. V. Arutyunov
Peoples’ Friendship University of Russia; Lomonosov Moscow State University; Kharkevich Institute for Information Transmission Problems of the Russian Academy of Sciences
Author for correspondence.
Email: arutun@orc.ru
Russian Federation, Moscow, 117198; Moscow, 119991; Moscow, 127051
D. Yu. Karamzin
Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
Email: arutun@orc.ru
Russian Federation, Moscow, 119333
F. L. Pereira
University of Porto
Email: arutun@orc.ru
Portugal, Porto
N. Yu. Chernikova
Peoples’ Friendship University of Russia
Email: arutun@orc.ru
Russian Federation, Moscow, 117198
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