Optimal Control for Linear Systems with $$L^1$$ L 1 -Norm Cost

Andrei Agrachev () and Bettina Kazandjian ()
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Andrei Agrachev: SISSA
Bettina Kazandjian: Sorbonne Université

Journal of Optimization Theory and Applications, 2025, vol. 204, issue 3, No 8, 28 pages

Abstract: Abstract We study $$L^1$$ L 1 -optimal stabilization of linear systems with finite and infinite horizons. Main results concern the existence, uniqueness and structure of optimal solutions, and the robustness of optimal cost.

Keywords: Optimal control; Linear system; L1-norm (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-024-02567-3

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