Linear Port-Hamiltonian Systems on Infinite-Dimensional Spaces

Author/creator Jacob, Birgit Author
Other author Zwart,Hans J. Author
Format Electronic
Publication InfoCH-4010 Basel : Birkhauser Verlag AG Secaucus : Springer [Distributor]
Descriptionxii, 217 p. ill 23.500 x 015.500 cm.
Supplemental ContentFull text available from Springer Books
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2012 English International
Subjects

SeriesOperator Theory: Advances and Applications / Linear Operators and Linear Systems Ser. 223
Summary Annotation 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, thenprogresses 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.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
ISBN9783034803984
ISBN3034803982 (Trade Cloth) Active Record
Standard identifier# 9783034803984
Stock number3034803982 00145491

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