Riccati Differential Equations

Name: Riccati Differential Equations
Brand: Academic Press
Price: 72.95 EUR
Availability: OnlineOnly

Reid(Autor*in)

Reid(Herausgeber*in)

Academic Press

Erschienen am 14. Mai 2014

227 Seiten

E-Book

PDF mit Wasserzeichen-DRM

Systemvoraussetzungen

978-0-08-095595-7 (ISBN)

72,95 €inkl. 7% MwSt.

Systemvoraussetzungen

für PDF mit Wasserzeichen-DRM

E-Book Einzellizenz

Als Download verfügbar

Beschreibung

Weitere Details

Weitere Ausgaben

Inhalt

Front Cover
Riccati Differential Equations
Copyright Page
Contents
Preface
Chapter One. Scalar Riccati Differential Equations
1. Introduction
2. Related Linear Differential Systems
3. Notes and Remarks
Chapter Two. Basic Properties of Solutions of Riccati Matrix Differential Equations
1. Introduction
2. Related Riccati Equations and Linear Systems
3. Variation of Solutions
4. Transformations for (2.1) and (2.3M)
5. Associated Riccati Matrix Differential Equations
6. Normality and Abnormality
7. Distinguished Solutions of a Riccati Matrix Differential Equation
8. Generalized Linear Differential Systems and Riccati Matrix Integral Equations
9. A Class of Monotone Riccati Matrix Differential Operators
10. Results Related to the Perron-Frobenius Theorem
11. A Dissipative Property of Solutions of Riccati Matrix Differential Equations
12. Certain Results for Equation (2.1) for the Case m = n
13. Notes and Remarks
References
Chapter Three. Involutory Riccati Matrix Differential Equations
1. Basic Definitions and Preliminary Concepts
2. Examples of Involutory Systems
3. Properties of Solutions of Involutory Systems
4. Transformations for (1.2) and (1.3t)
5. Obverse Involutory Differential Systems
6. Notes and Remarks
Chapter Four. Hermitian Riccati Matrix Differential Equations
1. Introduction
2. Preliminary Properties of Solutions
3. Distinguished Solutions of (1.2)
4. Hermitian Riccati Equations Which Are Definite
5. A Fundamental Property of Solutions of Riccati Matrix Differential Equations
6. A Class of Monotone Matrix Differential Equations
7. Properties of Hermitian Systems (1.3t) Which Are Definite
8. Existence of a Principal Solution for an Hermitian System (1.3t)
9. Hermitian Systems with Constant Coefficients
10. A Matrix Method of Atkinson
11. Notes and Remarks
References
Chapter Five. Applications of Riccati Matrix Differential Equations
1. Introduction
2. Direct Applications
3. Applications Arising from Partial Differential Equations
4. An Introduction to Hamilton-Jacobi Theory
5. A Linear Regulator Problem
6. A Problem in Linear Filtering and Prediction Theory
7. The Mycielski-Paszkowski Diffusion Problem
8. The *-Product of Redheffer
9. A Problem in Invariant Imbedding
10. Notes and Remarks
References
References
Index

Systemvoraussetzungen

Als PDF speichern Als Link merken