Integral Equations and Stability of Feedback Systems
Published on 14. May 2014
249 pages
978-0-08-095613-8 (ISBN)
Description
Integral Equations and Stability of Feedback Systems
More details
Series
Language
English
Place of publication
San Diego
United States
ISBN-13
978-0-08-095613-8 (9780080956138)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
C. Corduneanu
Integral Equations and Stability of Feedback Systems
Book
01/1973
Academic Press
€73.04
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Content
- Front Cover
- Integral Equations and Stability of Feedback Systems
- Copyright Page
- Contents
- Preface
- Chapter 1. Preliminaries
- 1.1 Some Function Spaces
- 1.2 A Fixed-Point Theorem
- 1.3 Fourier and Laplace Transforms
- 1.4 A Factorization Problem
- Exercises
- Chapter 2. Admissibility and Hammerstein Equations
- 2.1 Admissibility and Continuity
- 2.2 Admissibility of the Pair (Cg, CG) with Respect to the Volterra Operator
- 2.3 Admissibility of the Pair (Cg, Cl)
- 2.4 Admissibility of the Pair (Lg8, CG)
- 2.5 Admissibility of the Pair (LP, CG), 1 & p & 8
- 2.6 Admissibility of the Pair (Lg8, LG8)
- 2.7 Admissibility with Respect to the Convolution Operator
- 2.8 Review of Other Admissibility Results
- 2.9 Admissibility for Differential Systems
- 2.10 Integral Equations in CG
- 2.11 Perturbed Integral Equations in CG
- 2.12 Existence of Convergent Solutions
- 2.13 Further Existence Results in CG
- 2.14 Convolution Equations
- 2.15 Existence of Measurable Solutions
- Exercises
- Bibliographical Notes
- Chapter 3. Frequency Techniques and Stability
- 3.1 General Remarks and Statement of Some Problems
- 3.2 Equation (1.1) with an Integrable Kernel
- 3.3 Equation (1.1) with k(t) + ? Integrable, ? & 0
- 3.4 Further Investigation of the Preceding Case
- 3.5 Another Case of a Nonintegrable Kernel
- 3.6 A Stability Result in the Vector Case
- 3.7 An Integro-Differential Equation
- 3.8 Existence of L2 Solutions
- 3.9 Control Systems with Time Lag
- 3.10 A Result of Yakubovitch
- 3.11 Energetic Stability
- 3.12 A Criterion for LP Stability
- Exercises
- Bibliographical Notes
- Chapter 4. Wiener-Hopf Equations
- 4.1 A Special Class of Kernels
- 4.2 Equation (WH) with Index Zero
- 4.3 Equation (WH) with Positive Index
- 4.4 Equation (WH) with Negative Index
- 4.5 Some Examples
- 4.6 Perturbed Equations
- Exercises
- Bibliographical Notes
- Chapter 5. Further Methods and Topics
- 5.1 Some Results of Levin
- 5.2 A System Occurring in the Dynamics of Nuclear Reactors
- 5.3 A Positivity Condition for the Kernel
- 5.4 Linearization of Volterra Integral Equations
- 5.5 Volterra-Stieltjes Integral Equations
- 5.6 Tauberian Results
- Exercises
- Bibliographical Notes
- References
- Author Index
- Subject Index
