Table of Contents:
  • Preface
  • Preface for the original edition
  • 1. Introduction.
  • 2. Proper stable rational functions
  • 2.1. The ring S as a Euclidean domain
  • 2.2. Topology on S and M(S)
  • 2.3. Euclidean division in S
  • 2.4. Interpolation in the disc algebra.
  • 3. Scalar systems: an introduction
  • 3.1. Parametrization of all stabilizing compensators
  • 3.2. Stabilization using a stable compensator
  • 3.3. Parametrization of all stable stabilizing compensators.
  • 4. Matrix rings
  • 4.1. Coprime factorizations over a principal ideal domain
  • 4.2. Coprime factorizations over S
  • 4.3. Bicoprime factorizations, characteristic determinants
  • 4.4. Matrix Euclidean division.
  • 5. Stabilization
  • 5.1. Closed-loop stability
  • 5.2. Parametrization of all stabilizing compensators
  • 5.3. Strong stabilization
  • 5.4. Simultaneous stabilization
  • 5.5. Multi-compensator configuration
  • 5.6. Two-parameter compensators
  • 5.7. Regulation and decoupling.
  • A. Algebraic preliminaries
  • Rings, fields and ideals
  • Rings and fields of fractions
  • Principal ideal domains
  • Euclidean domains
  • B. Preliminaries on matrix rings
  • Matrices and determinants
  • Canonical forms
  • C. Topological preliminaries
  • Topological spaces
  • Topological rings and normed algebras
  • Bibliography
  • Author's biography
  • Index.