Behavior analysis of mechanical systems based on known statistical data

Abstract


A method of constructing the cone of possible solutions for the known statistics. These data are indications of devices that fix the position of a point after a certain period of time. Thus we obtain the database which helps to construct a differential inclusion. From a certain point differential inclusion can be made manageable, and to build a cone of possible solutions so that the controlled process minimizes a given functional quality. A model example was developed, which according to statistics contains a cone of possible solutions and management with the functional qualities, proportional to the kinetic energy.

About the authors

Oleg E Kaledin

Mordovian State University by N. P. Ogarev

Email: kaledinoe@gmail.com
аспирант, каф. прикладной математики; Мордовский государственный университет им. Н. П. Огарева; Mordovian State University by N. P. Ogarev

Lev A Sukharev

Mordovian State University by N. P. Ogarev

Email: suharev_la@mail.ru
(к.ф.-м.н.), зав. кафедрой, каф. алгебры и геометрии; Мордовский государственный университет им. Н. П. Огарева; Mordovian State University by N. P. Ogarev

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