Algebraic Lyapunov Functions for Homogeneous Dynamic Systems
Dynamical Systems
2023-03-07 v1 Systems and Control
Systems and Control
Abstract
A method for constructing homogeneous Lyapunov functions of degree 1 from polynomial invariant sets is presented for linear time varying systems, homogeneous dynamic systems and the class of nonlinear systems that can be represented as such. The method allows the development of Lyapunov functions that are not necessarily symmetric about the origin, unlike the polynomial, homogeneous Lyapunov functions discussed in the prior literature. The work is illustrated by very simple examples.
Cite
@article{arxiv.2303.02185,
title = {Algebraic Lyapunov Functions for Homogeneous Dynamic Systems},
author = {Hassan Abdelraouf and Eric Feron and Jeff Shamma},
journal= {arXiv preprint arXiv:2303.02185},
year = {2023}
}