Necessary conditions for optimal control problems with discontinuous trajectories

• Type: Article in International Scientific Journal
• Date: 1986

Authors

Fernando Lobbo Pereira (Author) FEUP; R. B. Vinter (Author) Other

Journal

Title: JOURNAL OF ECONOMIC DYNAMICS & CONTROL

Vol. 10 No. 1-2

Pages: 115-118

ISSN: 0165-1889

Publisher: Elsevier Science

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 3 Citations

Scientific classification

CORDIS: Technological sciences > Engineering > Electrical engineering

FOS: Social sciences > Economics and Business

Other information

Authenticus ID: P-00G-97X

DOI: 10.1016/0165-1889(86)90027-8

Abstract (EN): Optimal control problems arise, in which we expect optimal trajectories to be discontinuous. This might correspond, in an economics context, to consequences of lumped purchases of capital or instantaneous extraction of a resource [e.g,, Clark, Clarke and Munro (1979)]. Such problems are also encountered in aerospace applications where corrections to a space vehicle's trajectory is effected by a rapid fuel burn [e.g., Lawden (1963)]. Considerable progress has been made towards a general theory applicable to these problems [e.g., Murray (1983), Rishel (1965), Rockafellar (1981) and Warga (1972, pp. 372-395)]. We announce necessary conditions for optimality, proved under hypotheses considerably weaker than those previously required.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 4