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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2010 Issue 5(21), Pages 297–301 (Mi vsgtu736)

Short Communication
Mathematical Modelling

Behavior Analysis of Mechanical Systems Based on Known Statistical Data

O. E. Kaledina, L. A. Sukharevb

a Dept. of Applied Mathematics, Mordovian State University by N. P. Ogarev, Saransk
b Dept. of Algebra and Geometry, Mordovian State University by N. P. Ogarev, Saransk

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.

Keywords: differential inclusion, control systems, cone of possible solutions.

UDC: 519.8 : 517.91

MSC: 93A30, 49J15

Original article submitted 06/X/2009
revision submitted – 18/VI/2010

DOI: 10.14498/vsgtu736



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