Approximation and optimization of discrete and differential inclusions - Mahmudov, Elimhan N. (Elsevier, 2011)
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. In addition to including well recognized results of variational analysis and optimization, the book includes a number of new and important ones. Includes practical examples
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
Includes bibliographical references