Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws

Автор: KRZYSZTOF BARTECKI

Език:

Корици: С меки корици

Издател: Springer International Publishing AG

Наличност: Външен склад

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This monograph focuses on the mathematical modeling of distributed parameter systems in which mass/e...

Информация за книгата

Автор

KRZYSZTOF BARTECKI

Език

Английски език

Корици

Книга - С меки корици

Издадена

2018

страници

146

EAN

9783319801544

ISBN

9783319801544

Enbook ID

19308703

Издател

Springer International Publishing AG

Теглоt

454

Размери

155 x 235 x 10

Пълно описание

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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Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws

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