Applications of Lefschetz numbers in control theory
Optimization and Control
2025-10-20 v3 Systems and Control
Systems and Control
Algebraic Topology
Abstract
We develop some applications of techniques of the Lefschetz coincidence theory in control theory. The topics are existence of equilibria and their robustness, controllability and its robustness.
Keywords
Cite
@article{arxiv.math/0402346,
title = {Applications of Lefschetz numbers in control theory},
author = {Peter Saveliev},
journal= {arXiv preprint arXiv:math/0402346},
year = {2025}
}
Comments
The paper has been completely rewritten. 15 pages