Necessary conditions of optimality for impulsive control without a priori normality assumptions

• Type: Article in International Conference Proceedings Book
• Date: 2003

Authors

Aram Arutyunov (Author) FEUP; V. Dykhta (Author) Other; F. Lobo Pereira (Author) FEUP

Conference proceedings International

Title: MATHTOOLS'2003

Fourth International Conference "Tools for Mathematical Modelling"

Saint-Petersburg, Russia, 23 a 28 de Junho de 2003

Scientific classification

FOS: Engineering and technology

CORDIS: Technological sciences

Other information

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

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23