DSpace
 
  Repositório Institucional da Universidade de Aveiro > Departamento de Matemática > MAT - Artigos >
 Lipschitzian regularity of minimizers for optimal control problems with control-affine dynamics
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/4104

title: Lipschitzian regularity of minimizers for optimal control problems with control-affine dynamics
authors: Sarychev, A.V.
Torres, D.F.M.
keywords: Optimal control
Calculus of variations
Pontryagin Maximum Principle
Boundedness of minimizers
Nonlinear control-affine systems
Lipschitzian regularity
issue date: 2000
publisher: Springer Verlag
abstract: We study the Lagrange Problem of Optimal Control with a functional ∫abL(t, x(t), u(t))dt and control-affine dynamics x = f(t, x)+g(t, x)u and (a priori) unconstrained control u∈Rm. We obtain conditions under which the minimizing controls of the problem are bounded - a fact which is crucial for the applicability of many necessary optimality conditions, like, for example, the Pontryagin Maximum Principle. As a corollary we obtain conditions for the Lipschitzian regularity of minimizers of the Basic Problem of the Calculus of Variations and of the Problem of the Calculus of Variations with higher-order derivatives.
URI: http://hdl.handle.net/10773/4104
ISSN: 0095-4616
source: Applied Mathematics and Optimization
appears in collectionsMAT - Artigos

files in this item

file description sizeformat
[004]Lipschitzian regularity of minimizers for optimal control problems with control-affine dynamics.pdf118.76 kBAdobe PDFview/open
Restrict Access. You can Request a copy!
statistics

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 

Valid XHTML 1.0! RCAAP OpenAIRE DeGóis
ria-repositorio@ua.pt - Copyright ©   Universidade de Aveiro - RIA Statistics - Powered by MIT's DSpace software, Version 1.6.2