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9780198537953

Algebraic Riccati Equations

by ;
  • ISBN13:

    9780198537953

  • ISBN10:

    0198537956

  • Format: Hardcover
  • Copyright: 1995-10-19
  • Publisher: Clarendon Press

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Summary

This book provides a careful treatment of the theory of algebraic Riccati equations. It consists of four parts: the first part is a comprehensive account of necessary background material in matrix theory including careful accounts of recent developments involving indefinite scalar products andrational matrix functions. The second and third parts form the core of the book and concern the solutions of algebraic Riccati equations arising from continuous and discrete systems. The geometric theory and iterative analysis are both developed in detail. The last part of the book is an excitingcollection of eight problem areas in which algebraic Riccati equations play a crucial role. These applications range from introductions to the classical linear quadratic regulator problems and the discrete Kalman filter to modern developments in HW*w control and total least squares methods.

Table of Contents

Preliminaries from the theory of matrices
Indefinite scalar products
Skew-symmetric scalar products
Matrix theory and control
Linear matrix equations
Rational matrix functions
Geometric theory: the complex case
Geometric theory: the real case
Constructive existence and comparison theorems
Hermitian solutions and factorizations of rational matrix functions
Perturbation theory
Geometric theory for the discrete algebraic Riccati equation
Constructive existence and comparison theorems
Perturbation theory for discrete algebraic Riccati equations
Discrete algebraic Riccati equations and matrix pencils
Linear-quadratic regulator problems
The discrete Kalman filter
The total least squares technique
Canonical factorization
Hoo control problems
Contractive rational matrix functions
The matrix sign function
Structured stability radius
Bibliography
List of notations
Index
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

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