2 papers
math.DS2021
Dynamics of Systems with a Discontinuous Hysteresis Operator and Interval Translation Maps
Sergey Kryzhevich, Viktor Avrutin, Nikita Begun +2
We studied topological and metric properties of the so-called interval translation maps (ITMs). For these maps, we introduced the maximal invariant measure and study its properties…
math.OC2020
Finite-time stability of polyhedral sweeping processes with application to elastoplastic systems
Ivan Gudoshnikov, Oleg Makarenkov, Dmitry Rachinskiy
We use the ideas of Adly-Attoych-Cabot [Adv. Mech. Math., 12, Springer, 2006] on finite-time stabilization of dry friction oscillators to establish a theorem on finite-time stabili…