Damping of a system of linear oscillators using the generalized dry friction

DOI10.1134/S008154381605014XzbMath1357.49129arXiv1508.07775OpenAlexW3102877381MaRDI QIDQ338031

Alexander Ovseevich, Aleksey Fedorov

Publication date: 3 November 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07775

zbMATH Keywords

damping oscillationsdry friction controlminimum time problem

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Discontinuous ordinary differential equations (34A36) Linear optimal control problems (49N05)

Cites Work

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• Asymptotically optimal feedback control for a system of linear oscillators
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• Complete controllability of linear dynamic systems
• Ordinary differential equations, transport theory and Sobolev spaces
• On the construction of a bounded control in oscillatory systems
• Singularities of attainable sets
• Discontinuous gradient differential equations and trajectories in the calculus of variations
• Asymptotic control theory for a system of linear oscillators

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