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Analysis and control of nonlinear infinite dimensional systems.

Author: Barbu.
Publisher: Oxford : Elsevier Science, 2014.
Series: Mathematics in science and engineering.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Analysis and control of nonlinear infinite dimensional systems.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Barbu.
Analysis and control of nonlinear infinite dimensional systems.
Oxford : Elsevier Science, ©2014
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Barbu.
ISBN: 9780080958767 0080958761
OCLC Number: 1058266762
Description: 1 online resource (489 pages).
Contents: 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 Inequalities3.1 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 Inequalities5.3 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.
Series Title: Mathematics in science and engineering.

Abstract:

Analysis and control of nonlinear infinite dimensional systems.

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