I. Karafyllis, M. Papageorgiou, "Stability investigation for simple PI-controlled traffic systems," in Proceedings of 6th International Symposium on Communications, Controls, and Signal Processing, 2014, pp. 186-189.
https://doi.org/10.1109/ISCCSP.2014.6877846
This paper provides sufficient conditions for the Input-to-State Stability property of simple uncertain vehicular-traffic network models under the effect of a PI-regulator. Local stability properties for vehicular-traffic networks under the effect of PI-regulator control are studied as well: the region of attraction of a locally exponentially stable equilibrium point is estimated by means of Lyapunov functions.