Overview
- Presents theory and applications of Linear Hyperbolic Systems of Balance Laws
- Written by an expert in the field
- Presents theory, applications and models
- Includes supplementary material: sn.pub/extras
Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 48)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (8 chapters)
Keywords
About this book
This monograph focuses on the mathematical modeling of distributed parameter systems in which mass/energy transport or wave propagation phenomena occur and which are described by partial differential equations of hyperbolic type. The case of linear (or linearized) 2 x 2 hyperbolic systems of balance laws is considered, i.e., systems described by two coupled linear partial differential equations with two variables representing physical quantities, depending on both time and one-dimensional spatial variable.
Based on practical examples of a double-pipe heat exchanger and a transportation pipeline, two typical configurations of boundary input signals are analyzed: collocated, wherein both signals affect the system at the same spatial point, and anti-collocated, in which the input signals are applied to the two different end points of the system.
The results of this book emerge from the practical experience of the author gained during his studies conducted in the experimental installation of a heat exchange center as well as from his research experience in the field of mathematical and computer modeling of dynamic systems. The book presents valuable results concerning their state-space, transfer function and time-domain representations, which can be useful both for the open-loop analysis as well as for the closed-loop design.
The book is primarily intended to help professionals as well as undergraduate and postgraduate students involved in modeling and automatic control of dynamic systems.
Authors and Affiliations
Bibliographic Information
Book Title: Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws
Authors: Krzysztof Bartecki
Series Title: Studies in Systems, Decision and Control
DOI: https://doi.org/10.1007/978-3-319-27501-7
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-27500-0Published: 06 January 2016
Softcover ISBN: 978-3-319-80154-4Published: 30 March 2018
eBook ISBN: 978-3-319-27501-7Published: 21 December 2015
Series ISSN: 2198-4182
Series E-ISSN: 2198-4190
Edition Number: 1
Number of Pages: XXV, 146
Number of Illustrations: 44 b/w illustrations
Topics: Vibration, Dynamical Systems, Control, Control and Systems Theory, Computational Intelligence