Synopses & Reviews
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
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 received the M.Sc. degree in mathematics from the University of Dortmund in 1992 and the Ph.D. degree in mathematics from the University of Bremen in 1995. She held postdoctoral and professor positions at the universities of Twente, Leeds, Paderborn, at Berlin University of Technology and at Delft University of Technology. Since 2010, she has been with the University of Wuppertal, Germany, where she is a full professor in analysis. Her current research interests include the area of infinite-dimensional systems and operator theory, particularly well-posed linear systems and port-Hamiltonian systems. Hans Zwart received his Master degree in 1984 and his Ph.D. degree in 1988, both in mathematics at the University of Groningen. Since 1988 he has been working at the Applied Mathematics Department, University of Twente, Enschede, The Netherlands. His research interests include analysis, controller design, and approximations of infinite-dimensional systems, in particular of port-Hamiltoninan systems.
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.