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Item Details
Title: LINEAR PORT-HAMILTONIAN SYSTEMS ON INFINITE-DIMENSIONAL SPACES
By: Birgit Jacob, Hans J. Zwart
Format: Hardback

List price: £59.99


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ISBN 10: 3034803982
ISBN 13: 9783034803984
Publisher: SPRINGER BASEL
Pub. date: 13 June, 2012
Edition: 2012 ed.
Series: Operator Theory: Advances and Applications 223
Pages: 220
Description: This introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems combines an abstract functional analytical approach with the physical approach to Hamiltonian systems. Offers many worked-out examples.
Synopsis: 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.
Illustrations: XII, 220 p.
Publication: Switzerland
Imprint: Springer Basel
Returns: Returnable
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