2014/01/02 by Iasson Karafyllis, Karafyllis, Iasson, Markos Papageorgiou +1
Engineering · Social Sciences · #Dynamical Systems (math.DS) #Evacuation and Crowd Dynamics #FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #Traffic control and management #Transportation Planning and Optimization #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1401.0496
openalex publication_date 2014/01/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.