Approximation and Optimization of Discrete and Differential Inclusions

By

  • Elimhan Mahmudov, Istanbul Technical University, Turkey

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.

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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.

 

 

Book information

  • 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




Table of 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