We construct the unique optimal control for the two-dimensional monotone follower problem in the cheap-control setting. It is obtained as the solution of a fixed point problem whose existence is guaranteed under the assumption that a Lipschitz conditions be satisfied in a small neighbourhood of a single “corner point” of the boundary of the region of inaction. Conditions under which this holds are given.

The optimal control of the cheap monotone follower

Maria B. Chiarolla
;
1994-01-01

Abstract

We construct the unique optimal control for the two-dimensional monotone follower problem in the cheap-control setting. It is obtained as the solution of a fixed point problem whose existence is guaranteed under the assumption that a Lipschitz conditions be satisfied in a small neighbourhood of a single “corner point” of the boundary of the region of inaction. Conditions under which this holds are given.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/434212
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