3 papers
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…
math.AP2025
Asymptotically quasiconvex functionals with general growth conditions
Francesca Angrisani
We establish local regularity results for minimizers of autonomous vectorial integrals of Calculus of Variations, assuming -growth conditions and imposing -quasiconvexity o…
math.OC2025
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…