Hamilton–Jacobi–Bellman equations

Adriano Festa; Roberto Guglielmi; Christopher Hermosilla; Athena Picarelli; Smita Sahu; Achile Sassi; Francisco J. Silva

doi:10.1007/978-3-319-60771-9_2

Hamilton–Jacobi–Bellman equations

Adriano Festa
, Roberto Guglielmi
, Christopher Hermosilla
, Athena Picarelli
, Smita Sahu
, Achile Sassi
, Francisco J. Silva

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

Abstract

In this chapter we present recent developments in the theory of Hamilton–Jacobi–Bellman (HJB) equations as well as applications. The intention of this chapter is to exhibit novel methods and techniques introduced few years ago in order to solve long-standing questions in nonlinear optimal control theory of Ordinary Differential Equations (ODEs).

Original language	English
Title of host publication	Optimal Control: Novel Directions and Applications
Editors	Daniela Tonon, Maria Soledad Aronna, Dante Kalise
Publisher	Springer
Chapter	2
Pages	127-261
Number of pages	135
ISBN (Electronic)	978-3-319-60771-9
ISBN (Print)	978-3-319-60770-2
DOIs	https://doi.org/10.1007/978-3-319-60771-9_2 https://doi.org/10.1007/978-3-319-60771-9
Publication status	Published - 2 Sept 2017

Publication series

Name	Lecture Notes in Mathematics
Publisher	Springer
Volume	2180

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https://www.springer.com/gb/book/9783319607702

Cite this

Festa, A., Guglielmi, R., Hermosilla, C., Picarelli, A., Sahu, S., Sassi, A., & Silva, F. J. (2017). Hamilton–Jacobi–Bellman equations. In D. Tonon, M. Soledad Aronna, & D. Kalise (Eds.), Optimal Control: Novel Directions and Applications (pp. 127-261). (Lecture Notes in Mathematics; Vol. 2180). Springer. https://doi.org/10.1007/978-3-319-60771-9_2, https://doi.org/10.1007/978-3-319-60771-9

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abstract = "In this chapter we present recent developments in the theory of Hamilton–Jacobi–Bellman (HJB) equations as well as applications. The intention of this chapter is to exhibit novel methods and techniques introduced few years ago in order to solve long-standing questions in nonlinear optimal control theory of Ordinary Differential Equations (ODEs).",

author = "Adriano Festa and Roberto Guglielmi and Christopher Hermosilla and Athena Picarelli and Smita Sahu and Achile Sassi and Silva, \{Francisco J.\}",

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doi = "10.1007/978-3-319-60771-9\_2",

language = "English",

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series = "Lecture Notes in Mathematics",

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booktitle = "Optimal Control: Novel Directions and Applications",

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Festa, A, Guglielmi, R, Hermosilla, C, Picarelli, A, Sahu, S, Sassi, A & Silva, FJ 2017, Hamilton–Jacobi–Bellman equations. in D Tonon, M Soledad Aronna & D Kalise (eds), Optimal Control: Novel Directions and Applications. Lecture Notes in Mathematics, vol. 2180, Springer, pp. 127-261. https://doi.org/10.1007/978-3-319-60771-9_2, https://doi.org/10.1007/978-3-319-60771-9

Hamilton–Jacobi–Bellman equations. / Festa, Adriano; Guglielmi, Roberto; Hermosilla, Christopher et al.
Optimal Control: Novel Directions and Applications. ed. / Daniela Tonon; Maria Soledad Aronna; Dante Kalise. Springer, 2017. p. 127-261 (Lecture Notes in Mathematics; Vol. 2180).

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

TY - CHAP

T1 - Hamilton–Jacobi–Bellman equations

AU - Festa, Adriano

AU - Guglielmi, Roberto

AU - Hermosilla, Christopher

AU - Picarelli, Athena

AU - Sahu, Smita

AU - Sassi, Achile

AU - Silva, Francisco J.

PY - 2017/9/2

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N2 - In this chapter we present recent developments in the theory of Hamilton–Jacobi–Bellman (HJB) equations as well as applications. The intention of this chapter is to exhibit novel methods and techniques introduced few years ago in order to solve long-standing questions in nonlinear optimal control theory of Ordinary Differential Equations (ODEs).

AB - In this chapter we present recent developments in the theory of Hamilton–Jacobi–Bellman (HJB) equations as well as applications. The intention of this chapter is to exhibit novel methods and techniques introduced few years ago in order to solve long-standing questions in nonlinear optimal control theory of Ordinary Differential Equations (ODEs).

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DO - 10.1007/978-3-319-60771-9_2

M3 - Chapter (peer-reviewed)

SN - 978-3-319-60770-2

T3 - Lecture Notes in Mathematics

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BT - Optimal Control: Novel Directions and Applications

A2 - Tonon, Daniela

A2 - Soledad Aronna, Maria

A2 - Kalise, Dante

PB - Springer

ER -

Hamilton–Jacobi–Bellman equations

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