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Feldname	Details
Dewey Class	515.39
Titel	Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces ([Ebook]) / by Birgit Jacob, Hans J. Zwart.
Verfasser	Jacob, Birgit
Added Personal Name	Zwart, Hans J.
Other name(s)	SpringerLink (Online service)
Veröffentl	Basel : Birkhäuser
Veröffentl	, 2012.
Physical Details	XII, 217 pages. 27 illus., 1 illus. in color. : online resource.
Reihe	Operator theory : advances and applications ; 223
ISBN	9783034803991
Summary Note	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, thenÂ 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.:
Contents note	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. Â .
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-0348-0399-1
LINKS ZU 'VERWANDTEN WERKEN	Schlagwörter: . Differentiable dynamical systems . Differential equations, Partial . Dynamical systems and ergodic theory . Hamiltonian systems . Infinite dimensional systems . Operator Theory . Partial differential equations . System analysis . Systems Theory, Control . Authors: author . Jacob, Birgit . Zwart, Hans J. . Corporate Authors: SpringerLink (Online service) . Series: Operator theory : advances and applications . Classification: 515.39 . 515.39 (DDC 23) .

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Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces

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