The p-order maximum principle for an irregular optimal control problem


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Abstract

The general optimal control problem subject to irregular constraints is considered for which the factor of the objective functional in Pontryagin’s function may vanish. It turns out that, in the case of p-regular constraints, this drawback can be overcome and a constructive version of the p-order maximum principle can be formulated.

About the authors

A. Prusinska

Siedlce University

Email: tret@uph.edu.pl
Poland, Siedlce, 08-110

A. A. Tret’yakov

System Research Institute; Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”

Author for correspondence.
Email: tret@uph.edu.pl
Poland, Warsaw, 01-447; Moscow, 119333

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