Buch, Englisch, 498 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 955 g
Buch, Englisch, 498 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 955 g
ISBN: 978-0-19-853795-3
Verlag: OUP Oxford
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 and rational 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 exciting collection 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 HD*W*w control and total least squares methods.
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
- Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
- Mathematik | Informatik Mathematik Algebra Homologische Algebra
- Technische Wissenschaften Bauingenieurwesen Mathematische Methoden, Computeranwendungen (Bauingenieurwesen)
Weitere Infos & Material
- 1: Preliminaries from the theory of matrices
- 2: Indefinite scalar products
- 3: Skew-symmetric scalar products
- 4: Matrix theory and control
- 5: Linear matrix equations
- 6: Rational matrix functions
- 7: Geometric theory: the complex case
- 8: Geometric theory: the real case
- 9: Constructive existence and comparison theorems
- 10: Hermitian solutions and factorizations of rational matrix functions
- 11: Perturbation theory
- 12: Geometric theory for the discrete algebraic Riccati equation
- 13: Constructive existence and comparison theorems
- 14: Perturbation theory for discrete algebraic Riccati equations
- 15: Discrete algebraic Riccati equations and matrix pencils
- 16: Linear-quadratic regulator problems
- 17: The discrete Kalman filter
- 18: The total least squares technique
- 19: Canonical factorization
- 20: Hoo control problems
- 21: Contractive rational matrix functions
- 22: The matrix sign function
- 23: Structured stability radius
- Bibliography
- List of notations
- Index
