Inferring Global Exponential Stability Properties using Lie-bracket Approximations
Optimization and Control
2024-09-09 v1 Systems and Control
Systems and Control
Abstract
In the present paper, a novel result for inferring uniform global, not semi-global, exponential stability in the sense of Lyapunov with respect to input-affine systems from global uniform exponential stability properties with respect to their associated Lie-bracket systems is shown. The result is applied to adapt dither frequencies to find a sufficiently high gain in adaptive control of linear unknown systems, and a simple numerical example is simulated to support the theoretical findings.
Cite
@article{arxiv.2409.03871,
title = {Inferring Global Exponential Stability Properties using Lie-bracket Approximations},
author = {Marc Weber and Bahman Gharesifard and Christian Ebenbauer},
journal= {arXiv preprint arXiv:2409.03871},
year = {2024}
}
Comments
Extended Version