Stability and Boundary Stabilization of 1-D Hyperbolic Systems

• Main Authors: Bastin, Georges (Author), Coron, Jean-Michel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Series: Progress in Nonlinear Differential Equations and Their Applications, 88
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Partial differential equations.; System theory.; Mathematical physics.; Vibration.; Dynamical systems.; Partial Differential Equations.; Dynamical Systems and Ergodic Theory.; Systems Theory, Control.; Mathematical Applications in the Physical Sciences.; Vibration, Dynamical Systems, Control.

This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential equations. It presents typical examples of hyperbolic systems for a wide range of physical engineering applications, allowing readers to understand the concepts in w...

Table of Contents:

• Hyperbolic Systems of Balance Laws
• Systems of Two Linear Conservation Laws
• Systems of Linear Conservation Laws
• Systems of Nonlinear Conservation Laws
• Systems of Linear Balance Laws
• Quasi-Linear Hyperbolic Systems
• Backstepping Control
• Case Study: Control of Navigable Rivers
• Appendices
• References
• Index.