DYNAMICS OF SYSTEMS WITH ONE-SIDED DIFFERENTIAL CONSTRAINTS-Reference-Cited by-同舟云学术

DYNAMICS OF SYSTEMS WITH ONE-SIDED DIFFERENTIAL CONSTRAINTS

Published:2023-11-01 Issue:1 Volume:514 Page:12-19
ISSN:2686-9543
Container-title:Доклады Российской академии наук. Математика, информатика, процессы управления
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Short-container-title:Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ

Author:

Salnikova T. V.¹,Kugushev E. I.¹,Demidov A. A.¹

Affiliation:

1. Lomonosov Moscow State University

Abstract

A dynamical system with constraints in the form of linear differential inequalities is considered. It is proved that in the general case, in the presence of such connections, the motion is shockless. The possibility of realizing such bonds by viscous friction forces is shown. An example of a nonholonomic system is given, for which, using numerical simulation, it is shown how, with an increase in the degree of anisotropy, the transition from a system with anisotropic viscous friction to a system with one-sided differential constraints occurs.

Publisher

The Russian Academy of Sciences

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