Necessary conditions of optimality for vector-valued impulsive control problems

• Type: Article in International Scientific Journal
• Date: 2000

Authors

Fernando Lobo Pereira (Author) FEUP; Geraldo Nunes Silva (Author) Other

Journal

The Journal is awaiting validation by the Administrative Services.

Title: SYSTEMS & CONTROL LETTERS

Vol. 40 No. 3

Pages: 205-215

ISSN: 0167-6911

Indexing

ISI Web of Knowledge - 60 Citations

Scopus - 70 Citations

Scientific classification

CORDIS: Physical sciences > Mathematics > Mathematical analysis

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

Other information

Authenticus ID: P-000-ZHJ

DOI: 10.1016/s0167-6911(00)00027-x

Abstract (EN): A vector-valued impulsive control problem is considered whose dynamics, defined by a differential inclusion, are such that the vector fields associated with the singular term do not satisfy the so-called Frobenius condition. A concept of robust solution based on a new reparametrization procedure is adopted in order to derive necessary conditions of optimality. These conditions are obtained by taking a limit of those for an appropriate sequence of auxiliary "standard" optimal control problems approximating the original one. An example to illustrate the nature of the new optimality conditions is provided.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11