Approximation and Optimization of Discrete and Differential Inclusions

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Elsevier, 2011 - Mathematics - 379 pages
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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
 

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Contents

1 Convex Sets and Functions
1
2 Multivalued Locally Adjoint Mappings
53
3 Mathematical Programming and Multivalued Mappings
93
4 Optimization of Ordinary Discrete and Differential Inclusions and tsub1Transversality Conditions
143
5 On Duality of Ordinary Discrete and Differential Inclusions with Convex Structures
217
6 Optimization of Discrete and Differential Inclusions with Distributed Parameters via Approximation
253
References
365
Glossary of Notations
377
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