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Birkhäuser

Time-Varying Discrete Linear Systems

Input-Output Operators. Riccati Equations. Disturbance Attenuation

  • Book
  • © 1994

Overview

Authors:
  1. Aristide Halanay

    1. Faculty of Medicine, University of Bucharest, Bucharest, Romania

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  2. Vlad Ionescu

    1. Department of Automatic Control and Computers, Poytechnic Institute of Bucharest, Bucharest, Romania

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Operator Theory: Advances and Applications (OT, volume 68)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-x
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  2. General motivation

    • Aristide Halanay, Vlad Ionescu
    Pages 1-12

  3. Evolutions and related basic notions

    • Aristide Halanay, Vlad Ionescu
    Pages 13-44

  4. Nodes

    • Aristide Halanay, Vlad Ionescu
    Pages 45-70

  5. Riccati equations and nodes

    • Aristide Halanay, Vlad Ionescu
    Pages 71-143

  6. Disturbance Attenuation

    • Aristide Halanay, Vlad Ionescu
    Pages 145-185

  7. Back Matter

    Pages 187-230
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Keywords

About this book

Discrete-time systems arise as a matter of course in modelling biological or economic processes. For systems and control theory they are of major importance, particularly in connection with digital control applications. If sampling is performed in order to control periodic processes, almost periodic systems are obtained. This is a strong motivation to investigate the discrete-time systems with time-varying coefficients. This research monograph contains a study of discrete-time nodes, the discrete counterpart of the theory elaborated by Bart, Gohberg and Kaashoek for the continuous case, discrete-time Lyapunov and Riccati equations, discrete-time Hamiltonian systems in connection with input-output operators and associated Hankel and Toeplitz operators. All these tools aim to solve the problems of stabilization and attenuation of disturbances in the framework of H2- and H-control theory. The book is the first of its kind to be devoted to these topics and consists mainly of original, recently obtained results.

Authors and Affiliations

  • Faculty of Medicine, University of Bucharest, Bucharest, Romania

    Aristide Halanay

  • Department of Automatic Control and Computers, Poytechnic Institute of Bucharest, Bucharest, Romania

    Vlad Ionescu

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