We consider the value function V of optimal control problems with exit time. Under suitable assumptions, through the study of the conjugate points, we prove that the closure of the singular set of V is rectifiable. Moreover, a sharper Hausdorff estimate is given on the set of the conjugate nonsingular points.

Rectifiability results for singular and conjugate points of optimal exit time problems

PIGNOTTI, CRISTINA
2002-01-01

Abstract

We consider the value function V of optimal control problems with exit time. Under suitable assumptions, through the study of the conjugate points, we prove that the closure of the singular set of V is rectifiable. Moreover, a sharper Hausdorff estimate is given on the set of the conjugate nonsingular points.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/20498
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