Linear port-Hamiltonian systems on infinite-dimensional spaces

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 form...

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Asıl Yazarlar: Jacob, Birgit, Zwart, Hans J., mathématicien (Yazar)
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Basel : Springer Basel [20..].
Cham : Springer Nature
Edisyon:1st ed. 2012.
Seri Bilgileri:Linear Operators and Linear Systems 223
Online Erişim:Accès sur la plateforme de l'éditeur
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Edition sous un autre format:• Linear port-Hamiltonian systems on infinite-dimensional spaces, Birgit Jacob, Hans J. Zwart, Basel, Birkhäuser/Springer, 2012, 1 vol. (XII-217 p.), Operator theory, advances and applications, 978-3-03-480398-4
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245 1 0 |a Linear port-Hamiltonian systems on infinite-dimensional spaces   |c by Birgit Jacob, Hans J. Zwart. 
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505 1 |a 1 Introduction 2 State Space Representation.-3 Controllability of Finite-Dimensional Systems 4 Stabilizability of Finite-Dimensional Systems 5 Strongly Continuous Semigroups 6 Contraction and Unitary Semigroups 7 Homogeneous Port-Hamiltonian Systems 8 Stability 9 Stability of Port-Hamiltonian Systems 10 Inhomogeneous Abstract Differential Equations and Stabilization 11 Boundary Control Systems 12 Transfer Functions 13 Well-posedness A Integration and Hardy spaces Bibliography Index.   
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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 
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776 0 |0 165986123  |t Linear port-Hamiltonian systems on infinite-dimensional spaces  |f Birgit Jacob, Hans J. Zwart  |c Basel  |n Birkhäuser/Springer  |d 2012  |p 1 vol. (XII-217 p.)  |s Operator theory, advances and applications  |z 978-3-03-480398-4 
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