Motion of a system of oscillators under the generalized dry friction control
Optimization and Control
2015-09-01 v3 Classical Analysis and ODEs
Dynamical Systems
Abstract
The problem of the existence and uniqueness of the motion of the system of an arbitrary number linear oscillators under a generalized dry-friction type control is studied. This type of control arises in the problem of steering the system to equilibrium. The problem of existence and uniqueness of motion under the suggested control is resolved within the framework of the DiPerna--Lions theory of singular ordinary differential equations.
Keywords
Cite
@article{arxiv.1505.00773,
title = {Motion of a system of oscillators under the generalized dry friction control},
author = {Alexander Ovseevich and Aleksey Fedorov},
journal= {arXiv preprint arXiv:1505.00773},
year = {2015}
}
Comments
7 pages; presented at the XII All-Russian Conference on Control Problems (Moscow, June 16-19, 2014); the subject has grown out of study arXiv:1308.6090; published version