Title
Global Exponential Stabilisation Of Acyclic Traffic Networks
Abstract
This work is devoted to the construction of explicit feedback control laws for the robust global exponential stabilisation of general uncertain discrete-time acyclic networks. We consider discrete-time uncertain network models, which satisfy very weak assumptions. The construction of the controllers and the rigorous proof of the robust global exponential stability for the closed-loop system are based on recently proposed vector-Lyapunov function criteria, as well as the fact that the network is acyclic. It is shown, in this study, that the latter requirement is necessary for the existence of a robust global exponential stabiliser of the desired uncongested equilibrium point of the network. Our main focus is on traffic networks and all assumptions are related to features appearing in traffic models. An illustrative example demonstrates the applicability of the obtained results to realistic traffic flow networks.
Year
DOI
Venue
2019
10.1080/00207179.2017.1362114
INTERNATIONAL JOURNAL OF CONTROL
Keywords
DocType
Volume
Nonlinear systems, discrete-time systems, acyclic networks, traffic control
Journal
92
Issue
ISSN
Citations 
3
0020-7179
1
PageRank 
References 
Authors
0.38
9
3
Name
Order
Citations
PageRank
Kontorinaki, M.182.99
Iasson Karafyllis259255.06
Markos Papageorgiou3653165.20