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20132022
most citedAsymptotic control theory for a system of linear oscillators

17 citations · 83 across the 15 of their papers we have counts for

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10 papers · 1 filter

math.OC2017★ 2 cited

Asymptotic control theory for a closed string

Aleksey Fedorov, Alexander Ovseevich

We develop an asymptotical control theory for one of the simplest distributed oscillating systems, namely, for a closed string under a bounded load applied to a single distinguishe…

math.OC2016★ 8 cited

Asymptotically optimal control for a simplest distributed system

Alexander Ovseevich, Aleksey Fedorov

We study the problem of the minimum-time damping of a closed string under a bounded load, applied at a single fixed point. A constructive feedback control law is designed, which al…

math.OC2016★ 16 cited

Asymptotically optimal feedback control for a system of linear oscillators

Alexander Ovseevich, Aleksey Fedorov

Problem of damping of an arbitrary number of linear oscillators under common bounded control is considered. We are looking for a feedback control steering the system to the equilib…

math.OC2015★ 4 cited

Feedback control for damping a system of linear oscillators

Alexander Ovseevich, Aleksey Fedorov

The paper is devoted to a design of a common bounded feedback control steering a system of an arbitrary number of linear oscillators to the equilibrium. At high energies, the contr…

math.OC2015

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

Alexander Ovseevich, Aleksey Fedorov

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 contro…

math.OC2015★ 3 cited

Motion of a system of oscillators under the generalized dry friction control

Alexander Ovseevich, Aleksey Fedorov

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 typ…