Differential inclusions and quasi-Lyapunov functions
Optimization and Control
2025-11-11 v1
Abstract
A sufficient condition for existence of a solution of a differential inclusion with a uniformly bounded right-hand side that has nonempty closed (possibly nonconvex) values is obtained. An Olech-type result is obtained as a corollary. An example, which originates from the Fuller problem from optimal control theory, is given to demonstrate the applicability of the main result.
Cite
@article{arxiv.2511.06100,
title = {Differential inclusions and quasi-Lyapunov functions},
author = {Martin Ivanov and Mikhail Krastanov and Nadezhda Ribarska},
journal= {arXiv preprint arXiv:2511.06100},
year = {2025}
}
Comments
22 pages, 2 figures