Principles of Dynamic Optimization

Piernicola Bettiol · Richard B. Vinter

jun 2024 · Springer Nature

E-boek

769

Pagina's

Beoordelingen en reviews worden niet geverifieerd. Meer informatie

Over dit e-boek

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.

This text will be a valuable resource for those seeking an understanding of dynamic optimization. The lucid exposition, insights into the field, and comprehensive coverage will benefit postgraduates, researchers, and professionals in system science, control engineering, optimization, and applied mathematics.

Over de auteur

Piernicola Bettiol is professor of mathematics at the University of Brest, France. He received a PhD degree in mathematics from the University of Padova and was a Postdoctoral Researcher at Imperial College London. His areas of research are dynamic optimization, control theory, calculus of variations and differential games.

Richard Vinter is Emeritus Professor of Control Theory at Imperial College, London. He obtained a PhD from Cambridge University and was a Postdoctoral Researcher (Harkness Fellowship) at M.I.T.. His research is in the areas of nonlinear analysis, dynamic optimization, systems theory, differential games, stochastic modelling and estimation.

Dit e-boek beoordelen

Geef ons je mening.

Informatie over lezen

Smartphones en tablets

Installeer de Google Play Boeken-app voor Android en iPad/iPhone. De app wordt automatisch gesynchroniseerd met je account en met de app kun je online of offline lezen, waar je ook bent.

Laptops en computers

Via de webbrowser van je computer kun je luisteren naar audioboeken die je hebt gekocht op Google Play.

eReaders en andere apparaten

Als je wilt lezen op e-ink-apparaten zoals e-readers van Kobo, moet je een bestand downloaden en overzetten naar je apparaat. Volg de gedetailleerde instructies in het Helpcentrum om de bestanden over te zetten op ondersteunde e-readers.

Illegale content melden