English

Outer invariance entropy for discrete-time linear systems on Lie groups

Optimization and Control 2021-05-17 v2

Abstract

We introduce discrete-time linear control systems on connected Lie groups and present an upper bound for the outer invariance entropy of admissible pairs (K,Q). If the stable subgroup of the uncontrolled system is closed and K has positive measure for a left invariant Haar measure, the upper bound coincides with the outer invariance entropy.

Keywords

Cite

@article{arxiv.2008.03219,
  title  = {Outer invariance entropy for discrete-time linear systems on Lie groups},
  author = {Fritz Colonius and João A. N. Cossich and Alexandre J. Santana},
  journal= {arXiv preprint arXiv:2008.03219},
  year   = {2021}
}

Comments

17 pages

R2 v1 2026-06-23T17:42:30.350Z