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Algebraic Riccati Equations (Oxford Science Publications) [Hardcover] Lancaste..

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所在地:Boalsburg, Pennsylvania, 美國
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eBay 物品編號:196412146061

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賣家備註
“A new, unread book showing light surface and shelf wear to pictorial boards.”
ISBN
9780198537953
Subject Area
Mathematics
Publication Name
Algebraic Riccati Equations
Publisher
Oxford University Press, Incorporated
Item Length
9.2 in
Subject
Differential Equations / General, Matrices, Research, Applied
Publication Year
1995
Type
Textbook
Format
Hardcover
Language
English
Item Height
1.3 in
Author
Peter Lancaster, Leiba Rodman
Item Weight
31.7 Oz
Item Width
6.1 in
Number of Pages
498 Pages

關於產品

Product Identifiers

Publisher
Oxford University Press, Incorporated
ISBN-10
0198537956
ISBN-13
9780198537953
eBay Product ID (ePID)
80219

Product Key Features

Number of Pages
498 Pages
Publication Name
Algebraic Riccati Equations
Language
English
Subject
Differential Equations / General, Matrices, Research, Applied
Publication Year
1995
Type
Textbook
Subject Area
Mathematics
Author
Peter Lancaster, Leiba Rodman
Format
Hardcover

Dimensions

Item Height
1.3 in
Item Weight
31.7 Oz
Item Length
9.2 in
Item Width
6.1 in

Additional Product Features

Intended Audience
College Audience
LCCN
95-019582
Reviews
"[T]his is a very useful book, both for pure and applied mathematicians and for electrical and control engineers." --Mathematical Reviews, "[T]his is a very useful book, both for pure and applied mathematicians and for electrical and control engineers." -- Mathematical Reviews
Dewey Edition
20
Illustrated
Yes
Dewey Decimal
512.9/434
Table Of Content
1. Preliminaries from the theory of matrices2. Indefinite scalar products3. Skew-symmetric scalar products4. Matrix theory and control5. Linear matrix equations6. Rational matrix functions7. Geometric theory: the complex case8. Geometric theory: the real case9. Constructive existence and comparison theorems10. Hermitian solutions and factorizations of rational matrix functions11. Perturbation theory12. Geometric theory for the discrete algebraic Riccati equation13. Constructive existence and comparison theorems14. Perturbation theory for discrete algebraic Riccati equations15. Discrete algebraic Riccati equations and matrix pencils16. Linear-quadratic regulator problems17. The discrete Kalman filter18. The total least squares technique19. Canonical factorization20. Hoo control problems21. Contractive rational matrix functions22. The matrix sign function23. Structured stability radiusBibliographyList of notationsIndex
Synopsis
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., 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., This book provides a careful treatment of the theory of algebraic Riccati equations, and area of increasing interest in the mathematics and engineering communities. Conprising four parts, the authors cover the necessary background material in matrix theory, the solutions of algebraic Riccati equations arising from continuous and discrete systems, geometric and iterative analysis, and problem areas in which these equations play a crucial role. A range of applications are covered, demonstrating the utility of these equations for providing solutions to complex problems.
LC Classification Number
QA372.L243 1995

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