OPTIMAL CONTROL WITH NONREGULAR MIXED CONSTRAINTS: AN OPTIMIZATION APPROACH

• Type: Article in International Scientific Journal
• Date: 2021

Authors

J. A. Becerril (Author) Other; Maria do Rosário de Pinho (Author) FEUP

Journal

Title: SIAM Journal on Control and Optimization

Vol. 59

Pages: 2093-2120

ISSN: 0363-0129

Publisher: Society for Industrial and Applied Mathematics

Indexing

ISI Web of Knowledge - 5 Citations

Other information

Authenticus ID: P-00V-9BG

DOI: 10.1137/20m1328919

Abstract (EN): We derive necessary conditions for optimality for control problems with smooth mixed constraints in the absence of regularity conditions. We show that the lack of regularity is reflected by the appearance of purely finitely additive set functions as multipliers corresponding to the mixed constraints. We illustrate with examples the rule of such set functions. Additionally, we show how our approach allows to treat regular mixed constraints and pure state constraints as particular cases; for the latter, we also provide a connection to well-established results involving only countably additive measures.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 28