Approximation and Optimization of Discrete and Differential InclusionsBy
- Elimhan Mahmudov
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.
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
"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
Chapter 1. Convex Sets and Functions
Chapter 2. Multivalued Locally Adjoint Mappings
Chapter 3. Mathematical Programming and Multivalued MappingsChapter 4. Optimization of Ordinary Discrete and Differential Inclusions and t1-Transversality Conditions
Chapter 5. On Duality of Ordinary Discrete and Differential Inclusions with Convex StructuresChapter 6. Optimization of Discrete and Differential Inclusions with Distributed Parameters via Approximation