3 papers
math.OC2026
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…
math.OC2026
Higher-Order Normality and No-Gap Conditions in Impulsive Control with -Control Topology
Monica Motta, Michele Palladino, Franco Rampazzo
In optimal control, extending the class of admissible controls is a common strategy to guarantee the existence of optimal solutions. However, such extensions may introduce a gap be…
math.OC2024
Dynamic Programming Principle and Hamilton-Jacobi-Bellman Equation for Optimal Control Problems with Uncertainty
M. Soledad Aronna, Michele Palladino, Oscar Sierra
We study the properties of the value function associated with an optimal control problem with uncertainties, known as average or Riemann-Stieltjes problem. Uncertainties are assume…