• 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 - Request a copy

The Maximum Principle for an Optimal Solution to a Differential Inclusion with End Points Constraints

Frankowska, Halina (1987), The Maximum Principle for an Optimal Solution to a Differential Inclusion with End Points Constraints, SIAM Journal on Control and Optimization, 25, 1, p. 145-157. http://dx.doi.org/10.1137/0325010

Type
Article accepté pour publication ou publié
Date
1987
Journal name
SIAM Journal on Control and Optimization
Volume
25
Number
1
Publisher
SIAM
Pages
145-157
Publication identifier
http://dx.doi.org/10.1137/0325010
Metadata
Show full item record
Author(s)
Frankowska, Halina
Abstract (EN)
We derive Pontryagin’s maximum principle for a general optimal control problem using the set-valued version of variational equation. We achieve this aim by exploiting an adequate differential calculus of set-valued maps. Furthermore, the calmness condition is replaced by a surjectivity condition involving reachable sets of the “set-valued linearization” of the initial control problem. Duality then provides both the “adjoint differential inclusion” and the maximum principle.
Subjects / Keywords
differential inclusion; tangent cone; derivative of a set-valued map; convex process; variational inclusion; maximum principle

Related items

Showing items related by title and author.

  • Thumbnail
    A maximum principle for differential inclusion problems with state constraints 
    Frankowska, Halina; Kaskosz, Barbara (1988) Article accepté pour publication ou publié
  • Thumbnail
    Set-valued solutions to the Cauchy problem for hyperbolic systems of partial differential inclusions 
    Aubin, Jean-Pierre; Frankowska, Halina (1997) Article accepté pour publication ou publié
  • Thumbnail
    A SECOND-ORDER MAXIMUM PRINCIPLE IN OPTIMAL CONTROL UNDER STATE CONSTRAINTS 
    Tonon, Daniela; Hoehene, Daniel; Frankowska, Halina (2013) Article accepté pour publication ou publié
  • Thumbnail
    Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation 
    Frankowska, Halina (1989) Article accepté pour publication ou publié
  • Thumbnail
    A priori estimates for operational differential inclusions and necessary conditions for optimality 
    Frankowska, Halina (1990) Communication / Conférence
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