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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
(published under the terms of the Creative Commons Attribution 4.0 International License)
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.
Original article submitted 06/X/2009 revision submitted – 18/VI/2010
Citation:
O. E. Kaledin, L. A. Sukharev, “Behavior Analysis of Mechanical Systems Based on Known Statistical Data”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010), 297–301
Linking options:
https://www.mathnet.ru/eng/vsgtu736 https://www.mathnet.ru/eng/vsgtu/v121/p297
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Abstract page: | 440 | Full-text PDF : | 220 | References: | 49 | First page: | 1 |
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