English

Controllability properties and invariance pressure for linear discrete-time systems

Optimization and Control 2021-05-18 v2 Dynamical Systems

Abstract

For linear control systems in discrete time controllability properties are characterized. In particular, a unique control set with nonvoid interior exists and it is bounded in the hyperbolic case. Then a formula for the invariance pressure of this control set is proved.

Keywords

Cite

@article{arxiv.1909.04382,
  title  = {Controllability properties and invariance pressure for linear discrete-time systems},
  author = {Fritz Colonius and João A. N. Cossich and Alexandre J. Santana},
  journal= {arXiv preprint arXiv:1909.04382},
  year   = {2021}
}

Comments

27 pages

R2 v1 2026-06-23T11:10:50.454Z