Algebraic and Dynamic Lyapunov Equations on Time Scales
Optimization and Control
2009-10-13 v1 Dynamical Systems
Abstract
We revisit the canonical continuous-time and discrete-time matrix algebraic and matrix differential equations that play a central role in Lyapunov based stability arguments. The goal is to generalize and extend these types of equations and subsequent analysis to dynamical systems on domains other than or , e.g. nonuniform discrete domains or domains consisting of a mixture of discrete and continuous components. We compare and contrast the standard theory with the theory in this general case.
Keywords
Cite
@article{arxiv.0910.1895,
title = {Algebraic and Dynamic Lyapunov Equations on Time Scales},
author = {John M. Davis and Ian A. Gravagne and Robert J. Marks and Alice A. Ramos},
journal= {arXiv preprint arXiv:0910.1895},
year = {2009}
}