Partial stabilization of nonlinear systems along a given trajectory
Optimization and Control
2024-07-30 v2
Abstract
In this paper, the problem of partial stabilization of nonlinear systems along a given trajectory is considered. This problem is treated within the framework of stability of a family of sets. Sufficient conditions for the asymptotic stability of a one-parameter family of sets using time-dependent control in the form of trigonometric polynomials are derived. The obtained results are applied to a model mechanical system.
Cite
@article{arxiv.2311.04476,
title = {Partial stabilization of nonlinear systems along a given trajectory},
author = {Victoria Grushkovskaya and Iryna Vasylieva and Alexander Zuyev},
journal= {arXiv preprint arXiv:2311.04476},
year = {2024}
}
Comments
This is a preprint version of the paper submitted to the 2024 European Control Conference (ECC)