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arXiv · 1308.2505

Stability Results for Simple Traffic Models Under PI-Regulator Control

Iasson Karafyllis·Markos Papageorgiou
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Abstract

This paper provides necessary conditions and sufficient conditions for the (global) 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. All obtained results are illustrated by means of simple examples.

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BibTeXRIS

Iasson Karafyllis, Markos Papageorgiou. 2013-08-12. Stability Results for Simple Traffic Models Under PI-Regulator Control. https://arxiv.org/abs/1308.2505

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