ENGLISH

Principles of Dynamic Optimization

By Piernicola Bettiol , Richard B. Vinter

Book information

Publisher
Springer
Year
2024
ISBN
9783031500886, 9783031500893
Language
english
Format
PDF
Filesize
17 MB (17460967 bytes)
Series
Monographs in Mathematics
Pages
787\789
Orientation
portrait
Paginated
yes
Scanned
no
Time added
2024-07-14 11:05:32

Description

This monograph explores key principles in the modern theory of dynamic optimization, incorporating important advances in the field to provide a comprehensive, mathematically rigorous reference. Emphasis is placed on nonsmooth analytic techniques, and an in-depth treatment of necessary conditions, minimizer regularity, and global optimality conditions related to the Hamilton-Jacobi equation is given. New, streamlined proofs of fundamental theorems are incorporated throughout the text that eliminate earlier, cumbersome reductions and constructions. The first chapter offers an extended overview of dynamic optimization and its history that details the shortcomings of the elementary theory and demonstrates how a deeper analysis aims to overcome them. Aspects of dynamic programming well-matched to analytical techniques are considered in the final chapter, including characterization of extended-value functions associated with problems having endpoint and state constraints, inverse verification theorems, sensitivity relationships, and links to the maximum principle.

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