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Other titles in the Operator Theory: Advances and Applications / Linear Operator series:

Operator Theory: Advances and Applications / Linear Operator #223: Linear Port-Hamiltonian Systems on Infinite-Dimensional Spaces

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Operator Theory: Advances and Applications / Linear Operator #223: Linear Port-Hamiltonian Systems on Infinite-Dimensional Spaces Cover

 

Synopses & Reviews

Publisher Comments:

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

Synopsis:

This introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems combines an abstract functional analytical approach with the physical approach to Hamiltonian systems. Offers many worked-out examples.

About the Author

Birgit Jacob is professor at the Faculty of Mathematics and Natural Sciences at the University of Wuppertal (Germany). Hans Zwart is professor at the Department of Applied Mathematics at the University of Twente (The Netherlands).

Table of Contents

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.​

Product Details

ISBN:
9783034803984
Author:
Jacob, Birgit
Publisher:
Birkhauser
Author:
Zwart, Hans J.
Subject:
System Theory
Subject:
Hamiltonian systems
Subject:
Control theory
Subject:
Distributed parameter systems.
Subject:
Stability
Subject:
strongly continuous semigroups
Subject:
Systems Theory, Control
Subject:
Dynamical Systems and Ergodic Theory
Subject:
Operator theory
Subject:
PARTIAL DIFFERENTIAL EQUATIONS
Subject:
Mathematics-Differential Equations
Subject:
Dynamical
Subject:
Systems and Ergodic Theory
Copyright:
Edition Description:
2012
Series:
Operator Theory: Advances and Applications / Linear Operators and Linear Systems
Series Volume:
223
Publication Date:
20120626
Binding:
HARDCOVER
Language:
English
Pages:
229
Dimensions:
235 x 155 mm

Related Subjects

Engineering » Environmental Engineering » Forestry
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Functional Analysis
Science and Mathematics » Mathematics » Operator Analysis
Science and Mathematics » Mathematics » Systems Theory

Operator Theory: Advances and Applications / Linear Operator #223: Linear Port-Hamiltonian Systems on Infinite-Dimensional Spaces Used Hardcover
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Product details 229 pages Birkhauser - English 9783034803984 Reviews:
"Synopsis" by , This introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems combines an abstract functional analytical approach with the physical approach to Hamiltonian systems. Offers many worked-out examples.
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