ON HIGHER-ORDER STATE CONSTRAINTS

• Type: Article in International Scientific Journal
• Date: 2023

Authors

Dmitry Karamzin (Author) FEUP; Pereira, FL (Author) Other

Journal

Title: SIAM Journal on Control and Optimization

Vol. 61

Pages: 1913-1933

ISSN: 0363-0129

Publisher: Society for Industrial and Applied Mathematics

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: P-00Y-SR0

DOI: 10.1137/22m1487497

Abstract (EN): A higher-order state-constrained optimal control problem is considered. A nondegenerate maximum principle is obtained based on the corresponding inward and outward pointing conditions of the higher order. Simple examples demonstrate how the new optimality conditions exclude degenerate sets of Lagrange multipliers, while the conventional approach fails to do so. The conservation law is derived as a consequence of extremality. The connection to the classical form of optimality conditions is investigated.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 21