Damping of a system of linear oscillators using the generalized dry friction
arXiv:1508.07775 · doi:10.1134/S008154381605014X
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 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.
9 pages; presented at the 2nd International Seminar "Control Theory and Theory of Generalized Solutions of Hamilton-Jacobi Equations" (Yekaterinburg, April 1-3, 2015); continuation of studies arXiv:1308.6090 and arXiv:1505.00773; published version