Time-varying vector norm and lower and upper bounds on the solutions of uniformly asymptotically stable linear systems
Classical Analysis and ODEs
2020-06-08 v1 Optimization and Control
Abstract
Based on the eigenvalue idea and the time-varying weighted vector norm in state space we construct here the lower and upper bounds on the solutions of uniformly asymptotically stable linear systems. We generalize the known results for the linear time-invariant systems to the linear time-varying ones.
Keywords
Cite
@article{arxiv.1911.03714,
title = {Time-varying vector norm and lower and upper bounds on the solutions of uniformly asymptotically stable linear systems},
author = {Robert Vrabel},
journal= {arXiv preprint arXiv:1911.03714},
year = {2020}
}
Comments
14 pages