Singularities of the hamiltonian vectorfield in optimal control problems

• Type: Article in International Scientific Journal
• Date: 2001

Authors

Mena Matos, H (Author) FCUP

Journal

Title: Journal of Mathematical Analysis and Applications

Vol. 254

Pages: 53-70

ISSN: 0022-247X

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-WHG

DOI: 10.1006/jmaa.2000.7202

Abstract (EN): Variational problems with n degrees of freedom give rise (by the Pontriaguine maximum principle) to a hamiltonian vectorfield in T*R-n, that presents singularities (non-smoothness points) when the lagrangean is not convex. For the problems of the calculus of variations, the singularities that occur are points where the hamiltonian vectorfield is not C-0. For optimal control problems, we show that besides these singularities there appear other ones: points where the hamiltonian vectorfield is C-0 but not C-1, and we classify them. (C) 2001 Academic Press.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 18