2 papers
math.OC2024
Stabilization via localized controls in nonlocal models of crowd dynamics
Nikolay Pogodaev, Francesco Rossi
We consider a control system driven by a nonlocal continuity equation. Admissible controls are Lipschitz vector fields acting inside a fixed open set. We demonstrate that small per…
math.OC2024
Trajectory stabilization of nonlocal continuity equations by localized controls
Nikolay Pogodaev, Francesco Rossi
We discuss stabilization around trajectories of the continuity equation with nonlocal vector fields, where the control is localized, i.e., it acts on a fixed subset of the configur…