17 citations · 83 across the 15 of their papers we have counts for
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math.OC2013★ 3 cited
Birth of the shape of a reachable set
Elena Goncharova, Alexander Ovseevich
We address a linear control system under geometric constraints on control and study its reachable sets starting at zero time from the origin. The main result is the existence of a…
math.OC2013★ 7 cited
Complexity of the minimum-time damping of a physical pendulum
Alexander Ovseevich
We study the minimum-time damping of a physical pendulum by means of a bounded control. In the similar problem for a linear oscillator each optimal trajectory possesses a finite nu…
math.OC2013★ 17 cited
Asymptotic control theory for a system of linear oscillators
Aleksey Fedorov, Alexander Ovseevich
We present an asymptotic control theory for a system of an arbitrary number of linear oscillators under a common bounded control. We suggest a design method of a feedback control f…