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Nonsmooth Constrained Optimal Control on Infinite Horizon: A Brief Course - Couverture souple

Basco, Vincenzo

 
9783032089373: Nonsmooth Constrained Optimal Control on Infinite Horizon: A Brief Course
Couverture souple
ISBN 10 : 3032089379 ISBN 13 : 9783032089373
Editeur : Springer, 2026

Synopsis

This book provides an introduction to nonsmooth constrained optimal control theory over infinite horizon, tackling the mathematical challenges that arise when classical finite-horizon methods prove inadequate. The work focuses on recent advances in handling nonsmooth time-dependent data and state constraints—scenarios that commonly arise in fields such as engineering, machine learning, and artificial intelligence.

At its core, the book establishes foundational contributions, including viability results, extensions of Pontryagin's maximum principle to infinite horizons, regularity analysis of value functions, and necessary optimality conditions, with particular attention to transversality conditions and sensitivity relations. The analysis culminates in studying Hamilton-Jacobi-Bellman equations through weak solution notions suited to the nonsmooth framework.

Written as a brief course, the book aims to provide graduate students and researchers with the mathematical tools needed to analyze optimal control problems over infinite time horizons, where standard approaches may not apply.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Vincenzo Basco obtained his M.S. degree in Pure and Applied Mathematics from the University of Rome Tor Vergata in 2015, followed by a Ph.D. in Mathematics from Sorbonne University, Paris in 2019. He worked as a research fellow in optimal control theory at the Electrical and Electronic Engineering Department of Melbourne University, Australia from 2019 to 2020. Since 2020, he has been employed at the aerospace company Thales Alenia Space, where he focuses on research areas such as optimal control theory, Hamilton–Jacobi–Bellman equations, non-smooth analysis, artificial intelligence, and machine learning.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2026
Langue
anglais
ISBN 10 
3032089379
ISBN 13 
9783032089373
Reliure
Broché
Nombre de pages
148
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