Global Stability Results for Traffic Networks
Optimization and Control
2014-03-25 v2 Systems and Control
Dynamical Systems
Abstract
This paper provides sufficient conditions for global asymptotic stability and global exponential stability, which can be applied to nonlinear, large-scale, uncertain discrete-time systems. The conditions are derived by means of vector Lyapunov functions. The obtained results are applied to traffic networks for the derivation of sufficient conditions of global exponential stability of the uncongested equilibrium point of the network. Specific results and algorithms are provided for freeway models. Various examples illustrate the applicability of the obtained results.
Cite
@article{arxiv.1401.0496,
title = {Global Stability Results for Traffic Networks},
author = {Iasson Karafyllis and Markos Papageorgiou},
journal= {arXiv preprint arXiv:1401.0496},
year = {2014}
}
Comments
22 pages, 1 figure, to be submitted for possible publication