Backstepping control of continua of linear hyperbolic PDEs and application to stabilization of large-scale n+m coupled hyperbolic PDE systems

We develop a backstepping control design for a class of continuum systems of linear hyperbolic PDEs, described by a coupled system of an ensemble of rightward transporting PDEs and a (finite) system of m leftward transporting PDEs. The key analysis challenge of the design is to establish well-posedn...

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Bibliographic Details
Published in:Automatica (Oxford) 2026-01, Vol.183, p.112647, Article 112647
Main Authors: Humaloja, Jukka-Pekka, Bekiaris-Liberis, Nikolaos
Format: Article
Language:English
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