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 for...

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Main Authors: Jacob, Birgit, Zwart, Hans J. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Basel Springer Basel 2012, 2012
Edition:1st ed. 2012
Series:Linear Operators and Linear Systems
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces  |h Elektronische Ressource  |c by Birgit Jacob, Hans J. Zwart 
250 |a 1st ed. 2012 
260 |a Basel  |b Springer Basel  |c 2012, 2012 
300 |a XII, 220 p  |b online resource 
505 0 |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.   
653 |a Differential equations, partial 
653 |a Systems theory 
653 |a Operator Theory 
653 |a Dynamical Systems and Ergodic Theory 
653 |a Partial Differential Equations 
653 |a Operator theory 
653 |a Differentiable dynamical systems 
653 |a Systems Theory, Control 
700 1 |a Zwart, Hans J.  |e [author] 
710 2 |a SpringerLink (Online service) 
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490 0 |a Linear Operators and Linear Systems 
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082 0 |a 519 
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