Peter Lancaster, Leiba Rodman

Algebraic Riccati Equations

• Gebundenes Buch

Produktbeschreibung

Algebraic Riccati equations play a central role in modern control theory and signal processing, essential topics for industrial scientists, engineers, and mathematicians. This book provides a thorough treatment of the theory behind these equations, the solutions arising from continuous and discrete systems, and includes a collection of eight problem areas or applications in which they play a crucial role.

Produktdetails

• Verlag: Oxford University Press, USA
• Seitenzahl: 498
• Erscheinungstermin: 19. Oktober 1995
• Englisch
• Abmessung: 229mm x 152mm x 32mm
• Gewicht: 898g
• ISBN-13: 9780198537953
• ISBN-10: 0198537956
• Artikelnr.: 21917210

Inhaltsangabe

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