Analysis and control of nonlinear infinite dimensional systems /
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| Author / Creator: | Barbu, Viorel |
|---|---|
| Imprint: | Boston : Academic Press, c1993. |
| Description: | x, 476 p. : ill. ; 24 cm. |
| Language: | English |
| Series: | Mathematics in science and engineering v. 190 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1392539 |
Table of Contents:
- Ch. 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
- Ch. 2. Nonlinear Operators of Monotone Type. 2.1. Maximal Monotone Operators. 2.2. Generalized Gradients (Subpotential Operators). 2.3. Accretive Operators in Banach Spaces
- Ch. 3. Controlled Elliptic Variational Inequalities. 3.1. Elliptic Variational Inequalities. Existence Theory. 3.2. Optimal Control of Elliptic Variational Inequalities
- Ch. 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
- Ch. 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
- Ch. 6. Optimal Control in Real Time. 6.1. Optimal Feedback Controllers. 6.2. A Semigroup Approach to the Dynamic Programming Equation.
