This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems. The textbook starts with elementary known results, then progresses smoothly to advanced topics in current research. Many physical systems can be formulated using a Hamiltonian framework, leading to models described by ordinary or partial differential equations. For the purpose of control and for the interconnection of two or more Hamiltonian systems it is essential to take into account this interaction with the environment. This book is the first textbook on infinite-dimensional port-Hamiltonian systems. An abstract functional analytical approach is combined with the physical approach to Hamiltonian systems. This combined approach leads to easily verifiable conditions for well-posedness and stability. The book is accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Moreover, the theory is illustrated by many worked-out examples.
Product Identifiers
Publisher
Birkhauser Verlag Ag
ISBN-13
9783034808118
eBay Product ID (ePID)
209322799
Product Key Features
Author
Birgit Jacob, Hans J. Zwart
Publication Name
Linear Port-Hamiltonian Systems on Infinite-Dimensional Spaces
Format
Paperback
Language
English
Subject
Computer Science, Mathematics
Publication Year
2014
Type
Textbook
Number of Pages
220 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Volume
223
Item Weight
361g
Additional Product Features
Title_Author
Birgit Jacob, Hans J. Zwart
Series Title
Linear Operators and Linear Systems
Country/Region of Manufacture
Switzerland
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