ON THE PROPERNESS OF AN IMPULSIVE CONTROL EXTENSION OF DYNAMIC OPTIMIZATION PROBLEMS

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

Authors

Karamzin, DY (Author) Other; de Oliveira, VA (Author) Other; Fernando Lobo Pereira (Author) FEUP; Silva, GN (Author) Other

Journal

Title: ESAIM - Control, Optimisation and Calculus of Variations

Vol. 21

Pages: 857-875

ISSN: 1292-8119

Publisher: EDP Sciences

Indexing

ISI Web of Knowledge - 22 Citations

Scopus - 28 Citations

Scientific classification

FOS: Engineering and technology

Other information

Authenticus ID: P-00G-BJB

DOI: 10.1051/cocv/2014053

Abstract (EN): This article investigates the properness, or well-posedness, of impulsive extension of a conventional optimal control problem. This includes both well-posedness of the solution to impulsive control systems arising as result of an impulsive extension of ordinary differential systems, and existence theorems. Well-posedness in the classic Cauchy sense is proved. Approximation lemmas that guarantee sensitivity to small perturbations in control variables are obtained. Filippov type existence theorems are established. A model example is provided to show the relevance of the impulsive controls problems which are under study.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 19