Encyclopedia of Systems and Control

2015 Edition
| Editors: John Baillieul, Tariq Samad

Boundary Control of 1-D Hyperbolic Systems

  • Georges BastinEmail author
  • Jean-Michel Coron
Reference work entry
DOI: https://doi.org/10.1007/978-1-4471-5058-9_11

Abstract

One-dimensional hyperbolic systems are commonly used to describe the evolution of various physical systems. For many of these systems, controls are available on the boundary. There are then two natural questions: controllability (steer the system from a given state to a desired target) and stabilization (construct feedback laws leading to a good behavior of the closed loop system around a given set point).

Keywords

Chromatography Controllability Electrical lines Hyperbolic systems Open channels Road traffic Stabilization 
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Copyright information

© Springer-Verlag London 2015

Authors and Affiliations

  1. 1.Department of Mathematical EngineeringUniversity Catholique de LouvainLouvain-La-NeuveBelgium
  2. 2.Laboratoire Jacques-Louis LionsUniversity Pierre et Marie CurieParisFrance