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Trends in Control Theory and Partial Differential Equations

  • Fatiha Alabau-Boussouira
  • Fabio Ancona
  • Alessio Porretta
  • Carlo Sinestrari
Book

Part of the Springer INdAM Series book series (SINDAMS, volume 32)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Piermarco Cannarsa, Wei Cheng, Kaizhi Wang, Jun Yan
    Pages 39-67
  3. Piermarco Cannarsa, Giuseppe Floridia, Masahiro Yamamoto
    Pages 69-87
  4. Enrique Fernández-Cara, Diego A. Souza
    Pages 123-138
  5. Marco Mazzola, Khai T. Nguyen
    Pages 181-194

About this book

Introduction

This book presents cutting-edge contributions in the areas of control theory and partial differential equations. Over the decades, control theory has had deep and fruitful interactions with the theory of partial differential equations (PDEs). Well-known examples are the study of the generalized solutions of Hamilton-Jacobi-Bellman equations arising in deterministic and stochastic optimal control and the development of modern analytical tools to study the controllability of infinite dimensional systems governed by PDEs. In the present volume, leading experts provide an up-to-date overview of the connections between these two vast fields of mathematics. Topics addressed include regularity of the value function associated to finite dimensional control systems, controllability and observability for PDEs, and asymptotic analysis of multiagent systems. The book will be of interest for both researchers and graduate students working in these areas.

Keywords

Partial differential equations Controllability of partial differential equations Dynamic programming and optimal control Hamilton-Jacobi equations Multi-agents differential problems

Editors and affiliations

  • Fatiha Alabau-Boussouira
    • 1
  • Fabio Ancona
    • 2
  • Alessio Porretta
    • 3
  • Carlo Sinestrari
    • 4
  1. 1.Laboratoire Jacques-Louis Lions UMR 7598Sorbonne UniversitéParisFrance
  2. 2.Dipartimento di Matematica “Tullio Levi-Civita”Università degli Studi di PadovaPaduaItaly
  3. 3.Dipartimento di MatematicaUniversità di Roma “Tor Vergata”RomeItaly
  4. 4.Dipartimento di Ingegneria Civile e Ingegneria InformaticaUniversità di Roma “Tor Vergata”RomeItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-17949-6
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-17948-9
  • Online ISBN 978-3-030-17949-6
  • Series Print ISSN 2281-518X
  • Series Online ISSN 2281-5198
  • Buy this book on publisher's site