EE Seminar: STRING DAMPING: AN EXAMPLE IN ASYMPTOTIC CONTROL THEORY
(The talk will be given in English)
Speakers: ALEXANDER OVSEEVICH AND ALEKSEY FEDOROV
Russian Academy of Sciences for Machine Learning at ETH Zurich
SUNDAY, November 18th, 2018
15:00 - 16:00
Room 011, Kitot Bldg., Faculty of Engineering
STRING DAMPING: AN EXAMPLE IN ASYMPTOTIC CONTROL THEORY
Abstract
We study the problem of the minimum-time damping of a closed string under a bounded load, applied at a single _xed point. A constructive feedback control law is designed, which allows to bring the system to a bounded neighbourhood of the terminal manifold. The law has the form of the dry friction at the point, where the load is applied. The motion under the control is governed by a nonlinear wave equation. The existence and uniqueness of solution of the Cauchy problem for this equation are proved. The main result is the asymptotic optimality of the suggested control law.
Keywords maximum principle, reachable sets, linear system MSC 2010: 93B03, 93B07, 93B52.
Bio
AO born in Moscow, Russia in 1951, graduated From the mathematical department of the Moscow State University in 1973, and in 1976 defended PhD dissertation on number theory in the Mathematical Institute of the academy of sciences.
He obtained the next degree (Dr. of phys.-math. sc.) in 1997 from the Institute for Problems in mechanics, RAS for work in control theory. Worked in many areas of mathematics, from number theory to mathematical physics.
At present affiliated with the Institute for Problems in mechanics, RAS. Institute for Problems in Mechanics, Russian Academy of Sciences, 119526, Vernadsky av., 101/1, Moscow, Russia, ovseev@ipmnet.ru Russian Quantum Center, aleksey.fedorov@lptms.u-psud.fr
