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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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https://hal.inria.fr/hal-01280329
Contributor : Dante Kalise Connect in order to contact the contributor
Submitted on : Monday, February 29, 2016 - 1:41:17 PM
Last modification on : Thursday, January 6, 2022 - 12:28:03 PM
Long-term archiving on: : Sunday, November 13, 2016 - 5:30:47 AM

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

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