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math.OC2022★ 5 cited
A Hamiltonian approach to small time local attainability of manifolds for nonlinear control systems
Pierpaolo Soravia
This paper develops a new approach to small time local attainability of smooth manifolds of any dimension, possibly with boundary and to prove Hölder continuity of the minimum time…
math.OC2019
A degenerate elliptic equation for second order controllability of nonlinear systems
Pierpaolo Soravia
For a general nonlinear control system, we study the problem of small time local attainability of a target which is the closure of an open set. When the target is smooth and locall…
math.OC2019★ 4 cited
Some results on second order controllability conditions
Pierpaolo Soravia
For a symmetric system, we want to study the problem of crossing an hypersurface in the neighborhood of a given point, when we suppose that all of the available vector fields are t…