Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws / Najlacnejšie knihy
Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws

Code: 02836563

Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws

by Krzysztof Bartecki

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. ... more

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Book synopsis

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.§

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