Algebraic Lyapunov Functions for Homogeneous Dynamic Systems

Autor:	Abdelraouf, Hassan, Feron, Eric, Shamma, Jeff
Rok vydání:	2023
Předmět:	Mathematics - Dynamical Systems Electrical Engineering and Systems Science - Systems and Control
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.02185 Zobrazit plný text záznamu View this record from Arxiv