Outline of the main ideas on a model problem | springerprofessional.de

Springer Professional

Top

Published in:

1997 | OriginalPaper | Chapter

Outline of the main ideas on a model problem

Authors : Martino Bardi, Italo Capuzzo-Dolcetta

Published in: Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations

Publisher: Birkhäuser Boston

Included in: Professional Book Archive

Get Access

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

The purpose of this introductory chapter is to motivate the relevance of the notion of viscosity solution of partial differential equations of the form $$F(x,\,u(x),\,Du(x))\, = \,0$$ in a Dynamic Programming approach to deterministic optimal control theory.

next chapter Continuous viscosity solutions of Hamilton-Jacobi equations

Title: Outline of the main ideas on a model problem
Authors: Martino Bardi
Italo Capuzzo-Dolcetta
Publisher: Birkhäuser Boston
Book: Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations
Print ISBN: 978-0-8176-4754-4

Electronic ISBN: 978-0-8176-4755-1

Copyright Year: 1997
DOI: https://doi.org/10.1007/978-0-8176-4755-1_1