5 papers
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…
Extended Euler-Lagrange and Hamiltonian Conditions in Optimal Control of Sweeping Processes with Controlled Moving Sets
Nguyen D. Hoang, Boris S. Mordukhovich
This paper concerns optimal control problems for a class of sweeping processes governed by discontinuous unbounded differential inclusions that are described via normal cone mappin…
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…
Solutions Constructions of a Generalized Sylvester Problem and a Generalized Fermat-Torricelli Problem for Euclidean Balls
Nguyen Mau Nam, Nguyen Hoang, Nguyen Thai An
The classical Apollonius' problem is to construct circles that are tangent to three given circles in a plane. This problem was posed by Apollonius of Perga in his work "Tangencies"…