Overview

This volume is concerned with optimal control problems governed by ordinary differential systems and partial differential equations. The emphasis is on first-order necessary conditions of optimality and the construction of optimal controllers in feedback forms. These subjects are treated using some new concepts and techniques in modern optimization theory, such as Clarke's generalized gradient, Ekeland's variational principle, viscosity solution to the Hamilton-Jacobi equation, and smoothing processes for optimal control problems governed by variational inequalities. A substantial part of this book is devoted to applications and examples. A background in advanced calculus should enable readers to understand most of this book, including the statement of the Pontriagin maximum principle and many of the applications. This work should be of interest to graduate students in mathematics and engineering, and researchers in applied mathematics, control theory and systems theory.

Full Product Details

Author:   Viorel Barbu
Publisher:   Springer
Imprint:   Springer
Edition:   1994 ed.
Volume:   310
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.639kg
ISBN:  

9780792331766

ISBN 10:   0792331761
Pages:   262
Publication Date:   31 October 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

I: Generalized Gradients and Optimality.- 1. Fundamentals of Convex Analysis.- 2. Generalized Gradients.- 3. The Ekeland Variational Principle.- References.- II: Optimal Control of Ordinary Differential Systems.- 1. Formulation of the Problem and Existence.- 2. The Maximum Principle.- 3. Applications of the Maximum Principle.- References.- III: The Dynamic Programming Method.- 1. The Dynamic Programming Equation.- 2. Variational and Viscosity Solutions to the Equation of Dynamic Programming.- 3. Constructive Approaches to Synthesis Problem.- References.- IV: Optimal Control of Parameter Distributed Systems.- 1. General Description of Parameter Distributed Systems.- 2. Optimal Convex Control Problems.- 3. The H? -Control Problem.- 4. Optimal Control of Nonlinear Parameter Distributed Systems.- References.

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