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Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces

  • Birgit Jacob
  • Hans J. Zwart

Part of the Operator Theory: Advances and Applications book series (OT, volume 223)

Also part of the Linear Operators and Linear Systems book sub series (LOLS, volume 223)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Birgit Jacob, Hans J. Zwart
    Pages 1-12
  3. Birgit Jacob, Hans J. Zwart
    Pages 13-25
  4. Birgit Jacob, Hans J. Zwart
    Pages 27-38
  5. Birgit Jacob, Hans J. Zwart
    Pages 39-49
  6. Birgit Jacob, Hans J. Zwart
    Pages 51-63
  7. Birgit Jacob, Hans J. Zwart
    Pages 65-77
  8. Birgit Jacob, Hans J. Zwart
    Pages 79-96
  9. Birgit Jacob, Hans J. Zwart
    Pages 97-109
  10. Birgit Jacob, Hans J. Zwart
    Pages 111-122
  11. Birgit Jacob, Hans J. Zwart
    Pages 123-141
  12. Birgit Jacob, Hans J. Zwart
    Pages 143-155
  13. Birgit Jacob, Hans J. Zwart
    Pages 157-170
  14. Birgit Jacob, Hans J. Zwart
    Pages 171-196
  15. Back Matter
    Pages 197-217

About this book

Introduction

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.

Keywords

Hamiltonian systems control theory distributed parameter systems stability strongly continuous semigroups

Authors and affiliations

  • Birgit Jacob
    • 1
  • Hans J. Zwart
    • 2
  1. 1., Fachbereich CBergische Universität WuppertalWuppertalGermany
  2. 2., Department of Applied MathematicsUniversity of TwenteEnschedeNetherlands

Bibliographic information