1 citations · 1 across the 3 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
Optimization of a perturbed sweeping process by constrained discontinuous controls
Giovanni Colombo, Boris S. Mordukhovich, Dao Nguyen
This paper deals with optimal control problems described by a controlled version of Moreau's sweeping process governed by convex polyhedra, where measurable control actions enter a…
Optimal control of the sweeping process over polyhedral controlled sets
Giovanni Colombo, René Henrion, Nguyen Dinh Hoang +1
The paper addresses a new class of optimal control problems governed by the dissipative and discontinuous differential inclusion of the sweeping/Moreau process while using controls…