The Maximum Principle for Optimal Control Problems with State Constraints by RV Gamkrelidze: Revisited

• Type: Article in International Scientific Journal
• Date: 2011

Authors

Arutyunov, AV (Author) Other; Karamzin, DY (Author) Other; Pereira, FL (Author) FEUP

Journal

Title: Journal of Optimization Theory and Applications

Vol. 149

Pages: 474-493

ISSN: 0022-3239

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 43 Citations

ISI Web of Science

Scopus - 48 Citations

Scientific classification

FOS: Engineering and technology

Other information

Authenticus ID: P-002-R92

DOI: 10.1007/s10957-011-9807-5

Abstract (EN): A maximum principle in the form given by R.V. Gamkrelidze is obtained, although without a priori regularity assumptions to be satisfied by the optimal trajectory. After its formulation and proof, we propose various regularity concepts that guarantee, in one sense or another, the nondegeneracy of the maximum principle. Finally, we show how the already known first-order necessary conditions can be deduced from the proposed theorem.

Language: English

Type (Professor's evaluation): Scientific

Notes: http://dx.doi.org/10.1007/s10957-011-9807-5

No. of pages: 20