Title :
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
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;
Journal_Title :
Control of Network Systems, IEEE Transactions on
DOI :
10.1109/TCNS.2014.2367364
