Second order necessary conditions for optimal impulsive control problems

• Type: Article in International Scientific Journal
• Date: 2003

Authors

Arutyunov, A (Author) Other; Jacimovic, V (Author) Other; Pereira, F (Author) FEUP

Journal

Title: Journal of Dynamical and Control Systems

Vol. 9

Pages: 131-153

ISSN: 1079-2724

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 15 Citations

ISI Web of Science

Scopus - 21 Citations

Scientific classification

FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering

CORDIS: Technological sciences

Other information

Authenticus ID: P-000-K04

DOI: 10.1023/a:1022111402527

Abstract (EN): First and second order necessary conditions of optimality for an impulsive control problem are presented and derived. One of the main features of these results is that no a priori normality assumptions are required and they are informative for abnormal control processes as well. This feature follows from the fact that the conditions are derived from an extremal principle, which is proved for an abstract minimization problem with equality and inequality type constraints and constraints given by convex cone. Two simple examples illustrate the power of our result.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23