On Properness of Impulsive Extension

• Type: Article in International Conference Proceedings Book
• Date: 2014

Authors

Dmitry Karamzin (Author) Other; Valeriano de Oliveira (Author) Other; Fernando Pereira (Author) FEUP; Geraldo Silva (Author) Other

Conference proceedings International

Title: 2014 EUROPEAN CONTROL CONFERENCE (ECC)

Pages: 1588-1593

13th European Control Conference (ECC)

Strasbourg, FRANCE, JUN 24-27, 2014

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Other information

Authenticus ID: P-009-YV3

DOI: 10.1109/ecc.2014.6862316

Abstract (EN): This article investigates properness of an impulsive extension of the conventional optimal control problem. This includes both the correctness of the solution to impulsive control systems arising as result of an impulsive extension of ordinary differential systems, and existence theorems. Correctness in the classic Cauchy sense is proved. New approximation lemmas are introduced proved that guarantee the sensitivity to small perturbations in control variables. Filippov-type existence theorems are established.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6