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math.OC2021
Rotational controls and uniqueness of constrained viscosity solutions of Hamilton-Jacobi PDE
Giovanni Colombo, Nathalie T. Khalil, Franco Rampazzo
The classical inward pointing condition (IPC) for a control system whose state is constrained in the closure of an open set prescribes that at each point of the…
math.DS2021
Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction
Giovanni Colombo, Paolo Gidoni, Emilio Vilches
We study the asymptotic stability of periodic solutions for sweeping processes defined by a polyhedron with translationally moving faces. Previous results are improved by obtaining…