Second-Order Necessary Optimality Conditions in Optimal Impulsive Control Problems


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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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