Stability analysis for a class of linear systems governed by difference equations
Optimization and Control
2013-12-30 v1
Abstract
Linear systems governed by continuous-time difference equations cover a wide class of linear systems. From the Lyapunov-Krasovskii approach, we investigate stability for such a class of systems. Sufficient conditions, and in some particular cases, necessary and sufficient conditions for exponential stability are established, for multivariable systems with commensurate or rationally independent delays. A discussion on robust stability is proposed, for parametric uncertainties and time-varying delays.
Cite
@article{arxiv.1312.7210,
title = {Stability analysis for a class of linear systems governed by difference equations},
author = {S. Damak and M. Di Loreto and W. Lombardi and V Andrieu},
journal= {arXiv preprint arXiv:1312.7210},
year = {2013}
}
Comments
29 pages, 5 figures