Control sets of linear control systems on ℝ². The complex case

2022/05/03 by Víctor Ayala, Ayala, Victor, Adriano Da Silva +3 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Matrix Theory and Algorithms #Optimization and Control (math.OC) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2205.01808

openalex publication_date 2022/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper explicitly computes the unique control set D with non-empty interior of a linear control system on ℝ², 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 O of the system.

Cited by

• A complete classification of control sets for singular linear control systems on the Heisenberg group
• Global controllability properties of linear control systems

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