3 papers
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.DS2025
An Rashevskii-Chow Theorem
Ermal Feleqi, Rohit Gupta, Franco Rampazzo
Consider a finite family of vector fields on a -dimensional (), smooth manifold . The celebrated Rashevskii-Chow theo…
math.OC2025
Higher order necessary conditions for optimal controls not ranging in the interior
Francesca Angrisani, Franco Rampazzo
Goh's and Legendre-Clebsch necessary conditions for optimal controls of affine-control systems are usually established under the hypothesis that the minimizing control lies in the…