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Journal of Optimization Theory and Applications / Infinite horizon sparse optimal control

Abstract

A class of infinite horizon optimal control problems involving L p-type cost functionals with 0 < p 64 1 is discussed. The existence of optimal controls is studied for both the convex case with p = 1 and the nonconvex case with 0 < p < 1, and the sparsity structure of the optimal controls promoted by the L p -type penalties is analyzed. A dynamic programming approach is proposed to numerically approximate the corresponding sparse optimal controllers

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uni≡pub (Univ. Graz)

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Last time updated on 15/06/2017

This paper was published in uni≡pub (Univ. Graz).

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