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Stability and Boundary Stabilization of 1-D Hyperbolic Systems
ISBN-13:
9783319320625
Veröffentl:
2016
Seiten:
307
Autor:
Georges Bastin
Serie:
88, PNLDE Subseries in Control Progress in Nonlinear Differential Equations and Their Applications
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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 whichever setting is most familiar to them. With these examples, it also illustrates how control boundary conditions may be defined for the most commonly used control devices.
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.
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