Stability Results for Simple Traffic Models Under PI-Regulator Control
Optimization and Control
2013-08-13 v1 Systems and Control
Abstract
This paper provides necessary conditions and sufficient conditions for the (global) Input-to-State Stability property of simple uncertain vehicular-traffic network models under the effect of a PI-regulator. Local stability properties for vehicular-traffic networks under the effect of PI-regulator control are studied as well: the region of attraction of a locally exponentially stable equilibrium point is estimated by means of Lyapunov functions. All obtained results are illustrated by means of simple examples.
Cite
@article{arxiv.1308.2505,
title = {Stability Results for Simple Traffic Models Under PI-Regulator Control},
author = {Iasson Karafyllis and Markos Papageorgiou},
journal= {arXiv preprint arXiv:1308.2505},
year = {2013}
}
Comments
19 pages, 5 figures, submitted to IMA Journal of Mathematical Control and Information for possible publication