Linear state/signal systems
Author(s)
Bibliographic Information
Linear state/signal systems
（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, 183）
Cambridge University Press, 2022
- : hardback
Available at / 24 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hardbackS||EMA||183200043574901
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Note
Includes bibliographical references (p. [994]-1004) and index
Description and Table of Contents
Description
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.
Table of Contents
- 1. Introduction and overview
- 2. State/signal systems: trajectories, transformations, and interconnections
- 3. State/signal systems: dynamic and frequency domain properties
- 4. Input/state/output representations
- 5. Input/state/output systems: dynamic and frequency domain properties
- 6. Bounded input/state/output systems in continuous and discrete time
- 7. Bounded state/signal systems in continuous and discrete time
- 8. Semi-bounded input/state/output systems
- 9. Semi-bounded state/signal systems
- 10. Resolvable input/state/output and state/signal nodes
- 11. Frequency domain input/state/output systems
- 12. Frequency domain state/signal systems
- 13. Internally well-posed systems
- 14. Well-posed input/state/output systems
- 15. Well-posed state/signal systems
- Appendix
- Operators and analytic vector bundles in H-spaces
- References
- Index.
by "Nielsen BookData"
