3 papers
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…
math.DS2019
Structurally stable families of periodic solutions in sweeping processes of networks of elastoplastic springs
Ivan Gudoshnikov, Oleg Makarenkov
Networks of elastoplastic springs (elastoplastic systems) have been linked to differential equations with polyhedral constraints in the pioneering paper by Moreau (1974). Periodic…
math.DS2018
Global asymptotic stability of nonconvex sweeping processes
Lakmi Niwanthi Wadippuli, Ivan Gudoshnikov, Oleg Makarenkov
Building upon the technique that we developed earlier for perturbed sweeping processes with convex moving constraints and monotone vector fields (Kamenskii et al, Nonlinear Anal. H…