Global Exponential Stability for Discrete-Time Networks With Applications to Traffic Networks

Author

Karafyllis, Iasson ; Papageorgiou, Markos

Author_Institution

Dept. of Math., Nat. Tech. Univ. of Athens, Athens, Greece

Volume

2

Issue

1

fYear

2015

fDate

Mar-15

Firstpage

68

Lastpage

77

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 networks. The conditions are derived by means of vector Lyapunov functions. The obtained results are applied to traffic networks for the derivation of sufficient conditions for global exponential stability of the uncongested equilibrium point of the network. Specific results and algorithms are provided for freeway traffic models. Various examples illustrate the applicability of the obtained results.

Keywords

Lyapunov methods; asymptotic stability; discrete time systems; large-scale systems; traffic; uncertain systems; vectors; discrete-time networks; freeway traffic models; global asymptotic stability; global exponential stability; large-scale network; nonlinear network; traffic networks; uncertain discrete-time network; vector Lyapunov functions; Asymptotic stability; Lyapunov methods; Stability analysis; Traffic control; Vectors; Vehicles; Discrete-time systems; Nonlinear systems; discrete-time systems; nonlinear systems; traffic networks;

fLanguage

English

Journal_Title

Control of Network Systems, IEEE Transactions on

Publisher

ieee

ISSN

2325-5870

Type

jour

DOI

10.1109/TCNS.2014.2367364

Filename

6954406