Approximation and Optimization of Discrete and Differential Inclusions book cover

Approximation and Optimization of Discrete and Differential Inclusions

Optimal control theory has numerous applications in both science and engineering.

This book presents basic concepts and principles of mathematical programming in terms of set-valued analysis and develops a comprehensive optimality theory of problems described by ordinary and partial differential inclusions.

Audience

Researchers, undergraduate and graduate students in variational and nonlinear analysis, optimization, optimal control, and their applications. It will also be of interest to researchers interested in modeling dynamic economic systems.

 

Hardbound, 396 Pages

Published: August 2011

Imprint: Elsevier

ISBN: 978-0-12-388428-2

Reviews

  • "The goals of this book are to present the basic concepts and principles of mathematical programming in terms of set-valued analysis and on the basis of the method of approximation, to develop a comprehensive optimality theory of problems described by ordinary and partial differential inclusion."--Zentralblatt MATH 2012-1235-65002


Contents

  • Chapter 1. Convex Sets and Functions

    Chapter 2. Multivalued Locally Adjoint Mappings

    Chapter 3. Mathematical Programming and Multivalued Mappings

    Chapter 4. Optimization of Ordinary Discrete and Differential Inclusions and t1-Transversality Conditions

    Chapter 5. On Duality of Ordinary Discrete and Differential Inclusions with Convex Structures

    Chapter 6. Optimization of Discrete and Differential Inclusions with Distributed Parameters via Approximation

    Bibliography

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