Includes bibliographical references (pages 365-376).
Contents
1. Convex Sets and Functions -- 2. Multivalued Locally Adjoint Mappings -- 3. Mathematical Programming and Multivalued Mappings -- Chapter 4. Optimization of Ordinary Discrete and Differential Inclusions and t1-Transversality Conditions -- 5. On Duality of Ordinary Discrete and Differential Inclusions with Convex Structures -- 6. Optimization of Discrete and Differential Inclusions with Distributed Parameters via Approximation.
Summary
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.
