Control sets of linear control systems on $\mathbb{R}^2$. The complex case

Victor Ayala; Adriano Da Silva; Erik Mamani

Control sets of linear control systems on $\mathbb{R}^2$. The complex case

Optimization and Control 2022-09-07 v3

Authors: Victor Ayala , Adriano Da Silva , Erik Mamani

Abstract

This paper explicitly computes the unique control set $D$ with non-empty interior of a linear control system on $\mathbb{R}^2$ , when the associated matrix has complex eigenvalues. It turns out that the closure of $D$ coincides with the the region delimited by a computable periodic orbit $\mathcal{O}$ of the system.

Keywords

controllability

Cite

@article{arxiv.2205.01808,
  title  = {Control sets of linear control systems on $\mathbb{R}^2$. The complex case},
  author = {Victor Ayala and Adriano Da Silva and Erik Mamani},
  journal= {arXiv preprint arXiv:2205.01808},
  year   = {2022}
}

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