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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 2, Pages 168–177 (Mi timm1179)  
Damping of a system of linear oscillators using the generalized dry friction

A. I. Ovseevicha, A. K. Fedorovab

a Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
b Bauman Moscow State Technical University
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Abstract: The problem of damping a system of linear oscillators is considered. The problem is solved by using a control in the form of dry friction. The motion of the system under the control is governed by a system of differential equations with a discontinuous right-hand side. A uniqueness and continuity theorem is proved for the phase flow of this system. Thus, the control in the form of generalized dry friction defines the motion of the system of oscillators uniquely.
Keywords: optimal control, DiPerna-Lions theory, singular ODE.
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, Volume 293, Issue 1, Pages 156–165
DOI: https://doi.org/10.1134/S008154381605014X
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. I. Ovseevich, A. K. Fedorov, “Damping of a system of linear oscillators using the generalized dry friction”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 2, 2015, 168–177; Proc. Steklov Inst. Math. (Suppl.), 293, suppl. 1 (2016), 156–165
Citation in format AMSBIB
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\vol 21
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\pages 168--177
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\pages 156--165
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