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Preprints, Working Papers, ... Year : 2016

Infinite horizon sparse optimal control

Abstract

A class of infinite horizon optimal control problems involving L p-type cost functionals with 0 < p ≤ 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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Dates and versions

hal-01280329 , version 1 (29-02-2016)

Identifiers

  • HAL Id : hal-01280329 , version 1

Cite

Dante Kalise, Karl Kunisch, Zhiping Rao. Infinite horizon sparse optimal control. 2016. ⟨hal-01280329⟩

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INSMI TDS-MACS
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