Pontryagin's Maximum Principle for Optimal Impulsive Control Problems

• Type: Article in International Scientific Journal
• Date: 2010

Authors

Arutyunov, AV (Author) Other; Yu. Y Karamzin (Author) Other; Pereira, F (Author) FEUP

Journal

Title: Doklady Mathematics

Vol. 81 No. 3

Pages: 418-421

ISSN: 1064-5624

Publisher: Pleiades Publishing

Indexing

ISI Web of Knowledge - 6 Citations

ISI Web of Science

Scopus - 7 Citations

COMPENDEX

Scientific classification

FOS: Natural sciences > Mathematics

CORDIS: Technological sciences

Other information

Authenticus ID: P-003-5Y8

DOI: 10.1134/s1064562410030221

Abstract (EN): A necessary optimality conditions in the form of Pontryagin's maximum principle for an impulsive control problem with mixed constraints has been reported. A new concept of an impulsive control is proposed that generalizes previously known ones and makes it possible to control the trajectory of a system at its jumps. The maximum principle is obtained under relaxed regularity assumptions for mixed constraints. The basic difference of the problem in question from those studied by other authors is that the dynamical system can be controlled at jumps in its phase trajectory caused by the presence of impulses. The regularity assumptions for mixed constraints are relaxed in comparison with the traditional assumptions.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 4