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)