Analysis and Control of Nonlinear Infinite Dimensional Systems
Published on 14. May 2014
489 pages
978-0-08-095876-7 (ISBN)
Description
Analysis and Control of Nonlinear Infinite Dimensional Systems
More details
Series
Language
English
Place of publication
Oxford
United States
ISBN-13
978-0-08-095876-7 (9780080958767)
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Schweitzer Classification
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Additional editions
Book
10/1997
Academic Press
€96.56
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Content
- Front Cover
- Analysis and Control of Nonlinear Infinite Dimensional Systems
- Copyright Page
- Contents
- Preface
- Notation and Symbols
- Chapter 1. Preliminaries
- 1.1 The Duality Mapping
- 1.2 Compact Mappings in Banach Spaces
- 1.3 Absolutely Continuous Functions with Values in Banach Spaces
- 1.4 Linear Differential Equations in Banach Spaces
- Chapter 2. Nonlinear Operators of Monotone Type
- 2.1 Maximal Monotone Operators
- 2.2 Generalized Gradients (Subpotential Operators)
- 2.3 Accretive Operators in Banach Spaces
- Bibliographical Notes and Remarks
- Chapter 3. Controlled Elliptic Variational Inequalities
- 3.1 Elliptic Variational Inequalities. Existence Theory
- 3.2 Optimal Control of Elliptic Variational Inequalities
- Bibliographical Notes and Remarks
- Chapter 4. Nonlinear Accretive Differential Equations
- 4.1 The Basic Existence Results
- 4.2 Approximation and Convergence of Nonlinear Evolutions and Semigroups
- 4.3 Applications to Partial Differential Equations
- Bibliographical Notes and Remarks
- Chapter 5. Optimal Control of Parabolic Variational Inequalities
- 5.1 Distributed Optimal Control Problems
- 5.2 Boundary Control of Parabolic Variational Inequalities
- 5.3 The Time-Optimal Control Problem
- 5.4 Approximating Optimal Control Problems via the Fractional Steps Method
- Bibliographical Notes and Remarks
- Chapter 6. Optimal Control in Real Time
- 6.1 Optimal Feedback Controllers
- 6.2 A Semigroup Approach to the Dynamic Programming Equation
- Bibliographical Notes and Remarks
- References
- Subject Index
