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MARC 21

Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces
Tag Description
020$a9783034803991
082$a515.39
099$aOnline Resource: Birkhäuser
100$aJacob, Birgit.
245$aLinear Port-Hamiltonian Systems on Infinite-dimensional Spaces$h[Ebook]$cby Birgit Jacob, Hans J. Zwart.
260$aBasel$bBirkhäuser
260$c2012.
300$aXII, 217 pages. 27 illus., 1 illus. in color.$bonline resource.
336$atext
338$aonline resource
440$aOperator Theory: Advances and Applications ;$v223
505$a1 Introduction -- 2 State Space Representation.-3 Controllability of Finite-Dimensional Systems -- 4 Stabilizability of Finite-Dimensional Systems -- 5 Strongly Continuous Semigroups -- 6 Contraction and Unitary Semigroups -- 7 Homogeneous Port-Hamiltonian Systems -- 8 Stability -- 9 Stability of Port-Hamiltonian Systems -- 10 Inhomogeneous Abstract Differential Equations and Stabilization -- 11 Boundary Control Systems -- 12 Transfer Functions -- 13 Well-posedness -- A Integration and Hardy spaces -- Bibliography -- Index.  .
520$aThis 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.
538$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
700$aZwart, Hans J.$eauthor.
710$aSpringerLink (Online service)
830$aOperator Theory: Advances and Applications ;$v223
856$uhttp://dx.doi.org/10.1007/978-3-0348-0399-1
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