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      Linear State/Signal Systems

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      Linear State/Signal Systems

      Damir Z. Arov , South Ukrainian Pedagogical University
      Olof J. Staffans , Ã…bo Akademi University, Finland
      May 2022
      Available
      Hardback
      9781316519677
      £150.00
      GBP
      Hardback
      USD
      eBook
      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.

      • 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

      Product details

      May 2022
      Hardback
      9781316519677
      1080 pages
      251 × 174 × 61 mm
      1.877kg
      Available

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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.