9 papers · 1 filter
Converse Lyapunov theorems for control systems with unbounded controls
Anna Chiara Lai, Monica Motta
In this paper, we extend well-known relationships between global asymptotic controllability, sample stabilizability, and the existence of a control Lyapunov function to a wide clas…
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…
Necessary conditions involving Lie brackets for impulsive optimal control problems
M. Soledad Aronna, Monica Motta, Franco Rampazzo
We obtain higher order necessary conditions for a minimum of a Mayer optimal control problem connected with a nonlinear, control-affine system, where the controls range on an m-dim…
A Higher-order Maximum Principle for Impulsive Optimal Control Problems
M. Soledad Aronna, Monica Motta, Franco Rampazzo
We consider a nonlinear system, affine with respect to an unbounded control which is allowed to range in a closed cone. To this system we associate a Bolza type minimum problem…
Stabilizability in optimal control
Anna Chiara Lai, Monica Motta
We extend the classical concepts of sampling and Euler solutions for control systems associated to discontinuous feedbacks by considering also the corresponding costs. In particula…