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Analysis and control of nonlinear infinite dimensional systems / Viorel Barbu.
- Format:
- Book
- Author/Creator:
- Barbu, Viorel.
- Series:
- Mathematics in science and engineering ; v. 190.
- Mathematics in science and engineering ; v. 190
- Language:
- English
- Subjects (All):
- Control theory.
- Mathematical optimization.
- Nonlinear operators.
- Physical Description:
- 1 online resource (489 p.)
- Place of Publication:
- Boston : Academic Press, 1993.
- Language Note:
- English
- Summary:
- Analysis and control of nonlinear infinite dimensional systems
- 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
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- ISBN:
- 1-282-28873-3
- 9786612288739
- 0-08-095876-1
- OCLC:
- 466442573
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