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math.OC2022
Avoidance of the Lavrentiev gap for one-dimensional non autonomous functionals with state constraints
Carlo Mariconda
Let be a positive functional (the "energy"), unnecessarily autonomous, defined on the space of Sobolev functions $W^{1,p}([t,T];…
math.OC2022
Uniform boundedness for the optimal controls of a discontinuous, non-convex Bolza problem
Piernicola Bettiol, Carlo Mariconda
We consider a Bolza type optimal control problem of the form \begin{equation}\min J_{t}(y,u):=\int_t^TΛ(s,y(s), u(s))\,ds+g(y(T))\tag{P}\end{equation} Subject to: \begin{eq…
math.OC2022
Non-occurrence of gap for one-dimensional non autonomous functionals
Carlo Mariconda
Let be a positive functional, unnecessarily autonomous, defined on the space () of Sobolev…
math.OC2021
Equi-Lipschitz minimizing trajectories for non coercive, discontinuous, non convex Bolza controlled-linear optimal control problems
Carlo Mariconda
This article deals with the Lipschitz regularity of the ''approximate`` minimizers for the Bolza type control functional of the form \[J_t(y,u):=\int_t^TΛ(s,y(s), u(s))\,ds+g(y(T))…