12 citations · 15 across the 7 of their papers we have counts for
7 papers
Optimal Control Problems with Vector-Valued Impulse Controls and Time Delays
Giovanni Fusco, Monica Motta, Richard Vinter
We consider a nonlinear control system with vector-valued measures as controls and with dynamics depending on time delayed states. First, we introduce a notion of discontinuous, bo…
Optimal impulsive control for time delay systems
Giovanni Fusco, Monica Motta, Richard Vinter
We introduce discontinuous solutions to nonlinear impulsive control systems with state time delays in the dynamics and derive necessary optimality conditions in the form of a Maxim…
Impulsive optimal control problems with time delays in the drift term
Giovanni Fusco, Monica Motta
We introduce a notion of bounded variation solution for a new class of nonlinear control systems with ordinary and impulsive controls, in which the drift function depends not only…
HJ inequalities involving Lie brackets and feedback stabilizability with cost regulation
Giovanni Fusco, Monica Motta, Franco Rampazzo
With reference to an optimal control problem where the state has to approach asymptotically a closed target while paying a non-negative integral cost, we propose a generalization o…
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…
Nondegenerate abnormality, controllability, and gap phenomena in optimal control with state constraints
Giovanni Fusco, Monica Motta
In optimal control theory, infimum gap means that there is a gap between the infimum values of a given minimum problem and an extended problem, obtained by enlarging the set of ori…
No infimum gap and normality in optimal impulsive control under state constraints
Giovanni Fusco, Monica Motta
In this paper we consider an impulsive extension of an optimal control problem with unbounded controls, subject to endpoint and state constraints. We show that the existence of an…