State Constraints in Impulsive Control Problems: Gamkrelidze-Like Conditions of Optimality

• Type: Article in International Scientific Journal
• Date: 2015

Authors

Arutyunov, AV (Author) Other; Karamzin, DY (Author) Other; Pereira, FL (Author) FEUP

Journal

Title: Journal of Optimization Theory and Applications

Vol. 166

Pages: 440-459

ISSN: 0022-3239

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 6 Citations

Scopus - 6 Citations

Other information

Authenticus ID: P-00G-11V

DOI: 10.1007/s10957-014-0690-8

Abstract (EN): An impulsive control problem with state constraints is considered. A Pontryagin maximum principle in the framework of R.V. Gamkrelidze is derived, being its proof based on a certain penalization technique and on the application of Ekeland's variational principle. This approach is distinct from the more usual ones in Impulsive Control theory based on a reduction to a conventional control problem and exhibits the advantage of allowing to address problems with dynamics which are merely measurable in the time variable. Controllability assumptions to ensure the non-degeneracy of the conditions are provided in the impulsive control context. An example demonstrating the significance of the conditions is given.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20