19 citations · 45 across the 24 of their papers we have counts for
5 papers · 1 filter
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…
A continuation principle for periodic BV-continuous state-dependent sweeping processes
Mikhail Kamenskii, Oleg Makarenkov, Lakmi Niwanthi Wadippuli
We consider a Caratheodory differential equation with a state-dependent convex constraint that changes BV-continuously in time (a perturbed BV-continuous state-dependent sweeping p…
Bifurcations of finite-time stable limit cycles from focus boundary equilibria in impacting systems, Filippov systems and sweeping processes
Oleg Makarenkov, Lakmi Niwanthi Wadippuli
We establish a theorem on bifurcation of limit cycles from a focus boundary equilibrium of an impacting system, which is universally applicable to prove bifurcation of limit cycles…
A linear state feedback switching rule for global stabilization of switched nonlinear systems about a nonequilibrium point
Oleg Makarenkov
A switched equilibrium of a switched system of two subsystems is a such a point where the vector fields of the two subsystems point strictly towards one another. Using the concept…
Bifurcation of limit cycles from a switched equilibrium in planar switched systems and its application to power converters
Oleg Makarenkov
We consider a switched system of two subsystems that are activated as the trajectory enters the regions and respectively, where …