Linear State/Signal Systems
eBook - PDF

Linear State/Signal Systems

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Linear State/Signal Systems

Book details
Table of contents
Citations

About This Book

The authors explain in this work a new approach to observing and controlling linear systems whose inputs and outputs are not fixed in advance. They cover a class of linear time-invariant state/signal system that is general enough to include most of the standard classes of linear time-invariant dynamical systems, but simple enough that it is easy to understand the fundamental principles. They begin by explaining the basic theory of finite-dimensional and bounded systems in a way suitable for graduate courses in systems theory and control. They then proceed to the more advanced infinite-dimensional setting, opening up new ways for researchers to study distributed parameter systems, including linear port-Hamiltonian systems and boundary triplets. They include the general non-passive part of the theory in continuous and discrete time, and provide a short introduction to the passive situation. Numerous examples from circuit theory are used to illustrate the theory.

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Yes, you can access Linear State/Signal Systems by Damir Z. Arov,Olof J. Staffans in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
2022
ISBN
9781009021739
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Cover
  2. Half-title page
  3. Series page
  4. Title page
  5. Copyright page
  6. Contents
  7. Preface
  8. List of Notations
  9. 1 Introduction and Overview
  10. 2 State/Signal Systems: Trajectories, Transformations, and Interconnections
  11. 3 State/Signal Systems: Dynamic and Frequency Domain Properties
  12. 4 Input/State/Output Representations
  13. 5 Input/State/Output Systems: Dynamic and Frequency Domain Properties
  14. 6 Bounded Input/State/Output Systems in Continuous and Discrete Time
  15. 7 Bounded State/Signal Systems in Continuous and Discrete Time
  16. 8 Semi-bounded Input/State/Output Systems
  17. 9 Semi-bounded State/Signal Systems
  18. 10 Resolvable Input/State/Output and State/Signal Nodes
  19. 11 Frequency Domain Input/State/Output Systems
  20. 12 Frequency Domain State/Signal Systems
  21. 13 Internally Well-Posed Systems
  22. 14 Well-Posed Input/State/Output Systems
  23. 15 Well-Posed State/Signal Systems
  24. Appendix A Operators and Analytic Vector Bundles in H-Spaces
  25. References
  26. Index