arXiv subjects

Anderson F. P. Rojas

Publications and source records attributed to Anderson F. P. Rojas.

2 recordsLinked to original sources

arXiv2025

A complete classification of control sets for singular linear control systems on the Heisenberg group

In this paper, we investigate the control sets of linear control systems on the Heisenberg group associated with singular derivations. Under the Lie algebra rank condition, we provide a complete characterization of these sets by analyzing the trace and determinant of an associated 2 \times 2 submatrix.

math.OC↗

arXiv2024

Control sets of linear control systems on $\R^2$. The real case

In this paper, we study the dynamical behavior of a linear control system on $\R^2$ 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.

math.OC↗