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Entropy-like Lyapunov functions for the stability analysis of adaptive traffic signal controls

Stability of some decentralized traffic signal control policies for urban traffic networks is studied. It is proven that, whenever the arrival rates belong to a certain region - which is the largest where stability is possible- the resulting traffic network dynamics admit a globally asymptotically stable equilibrium. The results rely on the use of some entropy-like Lyapunov functions previously considered in the context of stochastic queuing networks.