On Infinite-horizon Minimum Energy Control

Fuente: arXiv
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Hauptverfasser: Belabbas, Mohamed-Ali, Chen, Xudong
Format: Preprint
Veröffentlicht: 2025
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author Belabbas, Mohamed-Ali
Chen, Xudong
author_facet Belabbas, Mohamed-Ali
Chen, Xudong
contents We address the infinite-horizon minimum energy control problem for linear time-invariant finite-dimensional systems $(A, B)$. We show that the problem admits a solution if and only if $(A, B)$ is stabilizable and $A$ does not have imaginary eigenvalues.
format Preprint
id arxiv_https___arxiv_org_abs_2502_17795
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On Infinite-horizon Minimum Energy Control
Belabbas, Mohamed-Ali
Chen, Xudong
Optimization and Control
We address the infinite-horizon minimum energy control problem for linear time-invariant finite-dimensional systems $(A, B)$. We show that the problem admits a solution if and only if $(A, B)$ is stabilizable and $A$ does not have imaginary eigenvalues.
title On Infinite-horizon Minimum Energy Control
topic Optimization and Control
url https://arxiv.org/abs/2502.17795