Time-Varying Discrete Linear Systems

Input-Output Operators. Riccati Equations. Disturbance Attenuation

  • Aristide Halanay
  • Vlad Ionescu

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

Table of contents

  1. Front Matter
    Pages i-x
  2. Aristide Halanay, Vlad Ionescu
    Pages 1-12
  3. Aristide Halanay, Vlad Ionescu
    Pages 13-44
  4. Aristide Halanay, Vlad Ionescu
    Pages 45-70
  5. Aristide Halanay, Vlad Ionescu
    Pages 71-143
  6. Aristide Halanay, Vlad Ionescu
    Pages 145-185
  7. Back Matter
    Pages 187-230

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.


control control theory hamiltonian system modeling stabilization

Authors and affiliations

  • Aristide Halanay
    • 1
  • Vlad Ionescu
    • 2
  1. 1.Faculty of MedicineUniversity of BucharestBucharestRomania
  2. 2.Department of Automatic Control and ComputersPoytechnic Institute of BucharestBucharestRomania

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