428 RWTH Publication No: 481093        2015        IGPM428.pdf
TITLE Feedback boundary control of linear hyperbolic systems with relaxation
AUTHORS Michael Herty, Wen-An Yong
ABSTRACT We consider boundary stabilization for one-dimensional systems of linear hyperbolic partial differential equations with relaxation structure. Such equations appear in many applications. By combining weighted Lyapunov functions, the structure is used to derive new stabilization results. The result is illustrated with an application to boundary stabilization of water flows in open canals.
KEYWORDS Stabilisation, Hyperbolic relaxation systems, Lyapunov methods, Feedback boundary control
DOI 10.1016/j.automatica.2016.02.016
PUBLICATION Automatica 69
12-17 (2016)