UID:
almafu_9958103638302883
Umfang:
1 online resource (227 p.)
ISBN:
9786612290138
,
9781282290136
,
1282290134
,
9780080955957
,
0080955959
Serie:
Mathematics in science and engineering ; v. 86
Inhalt:
Riccati differential equations
Anmerkung:
Description based upon print version of record.
,
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
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8. Generalized Linear Differential Systems and Riccati Matrix Integral Equations9. 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
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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)
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9. Hermitian Systems with Constant Coefficients10. 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
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English
Weitere Ausg.:
ISBN 9780125862509
Weitere Ausg.:
ISBN 0125862504
Sprache:
Englisch
Fachgebiete:
Mathematik
URL:
Volltext
(Deutschlandweit zugänglich)
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