24 citations · 134 across the 21 of their papers we have counts for
22 papers
Minimizers that are not Impulsive Minimizers and Higher Order Abnormality
Monica Motta, Michele Palladino, Franco Rampazzo
This paper addresses two related problems in optimal control. The first investigation consists of compatibility issues between two classical approaches to deriving necessary condit…
An Abstract Maximum Principle for constrained minimum problems
Monica Motta, Franco Rampazzo
This article makes no claim to originality, other than, perhaps, the simple statement here called the {\it Abstract Maximum Principle}. Actually, the whole contents are strongly ba…
Goh and Legendre-Clebsh conditions for nonsmooth control systems
Francesca Angrisani, Franco Rampazzo
Higher order necessary conditions for a minimizer of an optimal control problem are generally obtained for systems whose dynamics is at least continuously differentiable in the sta…
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…
Goh conditions for minima of nonsmooth problems with unbounded controls
Francesca Angrisani, Franco Rampazzo
Higher order necessary conditions for a minimizer of an optimal control problem are generally obtained for systems whose dynamics is continuously differentiable in the state variab…