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
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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.File in questo prodotto:
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