• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail

Optimality Conditions and Synthesis for the Minimum Time Problem

Cannarsa, Piermarco; Frankowska, Halina; Sinestrari, Carlo (2000), Optimality Conditions and Synthesis for the Minimum Time Problem, Set-Valued Analysis, 8, 1-2, p. 127-148. http://dx.doi.org/10.1023/A:1008726610555

View/Open
frankowska.PDF (155.1Kb)
Type
Article accepté pour publication ou publié
Date
2000
Journal name
Set-Valued Analysis
Volume
8
Number
1-2
Publisher
Springer
Pages
127-148
Publication identifier
http://dx.doi.org/10.1023/A:1008726610555
Metadata
Show full item record
Author(s)
Cannarsa, Piermarco
Frankowska, Halina
Sinestrari, Carlo
Abstract (EN)
We study the minimum time optimal control problem for a nonlinear system in R n with a general target. Necessary and sufficient optimality conditions are obtained. In particular, we describe a class of costates that are included in the superdifferential of the minimum time function, even in the case when this function is only lower semicontinuous. Two set-valued maps are constructed to provide time optimal synthesis.
Subjects / Keywords
minimum time function; optimal synthesis; differential inclusions; Hamilton–Jacobi equations; viability theory; viscosity solutions

Related items

Showing items related by title and author.

  • Thumbnail
    Value function and optimality conditions for semilinear control problems 
    Cannarsa, Piermarco; Frankowska, Halina (1992) Article accepté pour publication ou publié
  • Thumbnail
    A priori estimates for operational differential inclusions and necessary conditions for optimality 
    Frankowska, Halina (1990) Communication / Conférence
  • Thumbnail
    The Goh necessary optimality conditions for the Mayer problem with control constraints 
    Frankowska, Hélène; Tonon, Daniela (2013) Communication / Conférence
  • Thumbnail
    Necessary Conditions for the Bolza Problem 
    Frankowska, Halina (1985) Article accepté pour publication ou publié
  • Thumbnail
    Mild and weak solutions of Mean Field Games problem for linear control systems 
    Cannarsa, Piermarco; Mendico, Cristian (2020) Article accepté pour publication ou publié
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo