图书简介
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.
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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