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math.OC2023★ 1 cited
A converse Lyapunov-type theorem for control systems with regulated cost
Anna Chiara Lai, Monica Motta
Given a nonlinear control system, a target set, a nonnegative integral cost, and a continuous function , we say that the system is globally asymptotically controllable to the ta…
math.OC2023
A Lie-bracket-based notion of stabilizing feedback in optimal control
Giovanni Fusco, Monica Motta, Franco Rampazzo
For a control system two major issues can be considered: the stabilizability with respect to a given target, and the minimization of an integral functional (while the trajectories…
math.OC2014
Asymptotic problems in optimal control with a vanishing Lagrangian and unbounded data
Monica Motta, Caterina Sartori
In this paper we give a representation formula for the limit of the fnite horizon problem as the horizon becomes infinite, with a nonnegative Lagrangian and unbounded data. It is r…