Mean-square exponential stabilization of coupled hyperbolic systems with random parameters
Paper in proceeding, 2023

In this paper, we consider a system of two coupled scalar-valued hyperbolic partial differential equations (PDEs) with random parameters. We formulate a
stability condition under which the classical backstepping controller (designed for a nominal system whose parameters are constant) stabilizes the system. More precisely, we guarantee closed-loop mean-square exponential stability under random system parameter perturbations, provided the nominal parameters are sufficiently close to the stochastic ones on average. The proof is based on a Lyapunov analysis, the Lyapunov functional candidate describing the contraction of L2-norm of the system states. An illustrative traffic flow regulation example shows the viability and importance of the proposed result

Probabilistic robustness

Control of hyperbolic systems and conservation laws

Backstepping control of distributed parameter systems


Traffic flow

Traffic control

robust control


Jean Auriol

Mike Pereira

Chalmers, Electrical Engineering, Systems and control

Balázs Adam Kulcsár

Chalmers, Electrical Engineering, Systems and control

IFAC Proceedings Volumes (IFAC-PapersOnline)

14746670 (ISSN)

22nd IFAC World Congress
Yokohama, Japan,

STOchastic Traffic NEtworks (STONE)

Chalmers AI Research Centre (CHAIR), -- .

Chalmers, 2020-02-01 -- 2022-01-31.

Areas of Advance


Subject Categories

Computational Mathematics

Control Engineering

Other Electrical Engineering, Electronic Engineering, Information Engineering

More information


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