Numerical boundary control for semilinear hyperbolic systems

Mathematical Control and Related Fields, vol. 13, pp. 1344–1361

Abstract

This work is devoted to the design of boundary controls of physical systems that are described by semilinear hyperbolic balance laws. A computational framework is presented that yields sufficient conditions for a boundary control to steer the system towards a desired state. The presented approach is based on a Lyapunov stability analysis and a CWENO-type reconstruction.

Authors 3

1. Stephan Gerster

   University of Insubria

   Affiliation as printed

   Università degli Studi dell'Insubria , Como , Italy

   Università degli Studi dell'Insubria, Como, Italy

2. Aleksey Sikstel

   Technische Universität Darmstadt

   Affiliation as printed

   Technische Universität Darmstadt , Germany

   Technische Universität Darmstadt, Germany

3. Giuseppe Visconti

   Sapienza University of Rome

   Affiliation as printed

   Sapienza Università di Roma , Italy

   Sapienza Università di Roma, Italy