Το έργο με τίτλο Global exponential stabilisation of acyclic traffic networks από τον/τους δημιουργό/ούς Kontorinaki Maria, Karafyllis, Iasson, Papageorgiou Markos διατίθεται με την άδεια Creative Commons Αναφορά Δημιουργού 4.0 Διεθνές
Βιβλιογραφική Αναφορά
M. Kontorinaki, I. Karafyllis and M. Papageorgiou, "Global exponential stabilisation of acyclic traffic networks," Int. J. Control, pp. 1-21, Aug. 2017.
doi: 10.1080/00207179.2017.1362114
https://doi.org/10.1080/00207179.2017.1362114
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.