Linear State/Signal Systems
Part of Encyclopedia of Mathematics and its Applications
- Authors:
- Damir Z. Arov, South Ukrainian Pedagogical University
- Olof J. Staffans, Åbo Akademi University, Finland
- Date Published: May 2022
- availability: Available
- format: Hardback
- isbn: 9781316519677
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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.
Read more- Written by leading experts in the field, incorporating years of research
- Includes over 60 worked examples to illustrate the theory
- Contains a number of new results for linear time-invariant input/state/output systems
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×Product details
- Date Published: May 2022
- format: Hardback
- isbn: 9781316519677
- length: 1080 pages
- dimensions: 251 x 174 x 61 mm
- weight: 1.877kg
- availability: Available
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.
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