English

Optimal Control for Linear Systems with L1-norm cost

Optimization and Control 2024-12-24 v2

Abstract

We study 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

Cite

@article{arxiv.2404.07913,
  title  = {Optimal Control for Linear Systems with L1-norm cost},
  author = {Andrei Agrachev and Bettina Kazandjian},
  journal= {arXiv preprint arXiv:2404.07913},
  year   = {2024}
}

Comments

Second version, to appear in Journal of Optimization Theory and Applications

R2 v1 2026-06-28T15:51:32.317Z