English

On Infinite-horizon Minimum Energy Control

Optimization and Control 2025-02-26 v1

Abstract

We address the infinite-horizon minimum energy control problem for linear time-invariant finite-dimensional systems (A,B)(A, B). We show that the problem admits a solution if and only if (A,B)(A, B) is stabilizable and AA does not have imaginary eigenvalues.

Keywords

Cite

@article{arxiv.2502.17795,
  title  = {On Infinite-horizon Minimum Energy Control},
  author = {Mohamed-Ali Belabbas and Xudong Chen},
  journal= {arXiv preprint arXiv:2502.17795},
  year   = {2025}
}
R2 v1 2026-06-28T21:56:40.238Z