Mix of Controls and the Pontryagin Maximum Principle


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In this paper, necessary conditions for a minimum (the Pontryagin maximum principle) for an optimal control problem are proved on the basis of the concept of a mix, which enables one to reduce the study of the original problem to some approximation thereof, which is linear in the control. The study of the latter problem proves more simple.

作者简介

E. Avakov

Institute of Control Sciences, Russian Academy of Sciences

编辑信件的主要联系方式.
Email: eramag@mail.ru
俄罗斯联邦, Moscow

G. Magaril-Il’yaev

Institute for Information Transmission Problems, Russian Academy of Sciences; Faculty of Mechanics and Mathematics, Moscow State University

Email: eramag@mail.ru
俄罗斯联邦, Moscow

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