|Preprint-No.:||< 428 >||Published in:||August 2015||PDF-File:||IGPM428.pdf|
|Title:||Feedback boundary control of linear hyperbolic systems with relaxation|
|Authors:||Michael Herty, Wen–An Yong|
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|