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Stability Results for Simple Traffic Models Under PI-Regulator Control (1308.2505v1)
Published 12 Aug 2013 in math.OC and cs.SY
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.