Control sets of linear control systems on $\R^2$. The real case
Optimization and Control
2024-02-29 v1
Abstract
In this paper, we study the dynamical behavior of a linear control system on when the associated matrix has real eigenvalues. Different from the complex case, we show that the position of the control zero relative to the control range can have a strong interference in such dynamics if the matrix is not invertible. In the invertible case, we explicitly construct the unique control set with a nonempty interior.
Cite
@article{arxiv.2402.18269,
title = {Control sets of linear control systems on $\R^2$. The real case},
author = {Victor Ayala and Adriano Da Silva and Anderson F. P. Rojas},
journal= {arXiv preprint arXiv:2402.18269},
year = {2024}
}