5 citations · 8 across the 8 of their papers we have counts for
11 papers
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…
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…
Optimization of Fully Controlled Sweeping Processes
Tan H. Cao, Giovanni Colombo, Boris S. Mordukhovich +1
The paper is devoted to deriving necessary optimality conditions in a general optimal control problem for dynamical systems governed by controlled sweeping processes with hard-cons…
On the optimal control of rate-independent soft crawlers
Giovanni Colombo, Paolo Gidoni
Existence of optimal solutions and necessary optimality conditions for a controlled version of Moreau's sweeping process are derived. The control is a measurable ingredient of the…
Optimization and Discrete Approximation of Sweeping Processes with Controlled Moving Sets and Perturbations
Tan H. Cao, Giovanni Colombo, Boris S. Mordukhovich +1
This paper addresses a new class of optimal control problems for perturbed sweeping processes with measurable controls in additive perturbations of the dynamics and smooth controls…
Optimal Control of Sweeping Processes in Robotics and Traffic Flow Models
Giovanni Colombo, Boris S. Mordukhovich, Dao Nguyen
The paper is mostly devoted to applications of a novel optimal control theory for perturbed sweeping/Moreau processes to two practical dynamical models. The first model addresses m…