Local controllability and optimality. (July 2021)

• Record Type: Journal Article
• Authors: Avakov, E. R.; Magaril-Il'yaev, G. G.
• Is Part Of: Sbornik. Volume 212:Number 7(2021)
• Page Start: 887
• Page End: 920
• Publication Date: 2021-07
• Subjects: 49K15; local controllability -- local infimum -- convex system -- maximum principle; Mathematics -- Periodicals; 510.5
• DOI: 10.1070/SM9434
• Languages: English
• ISSNs: 1064-5616

Abstract

Abstract: The concept of local controllability is introduced for a dynamical system; sufficient conditions for such controllability are presented. As a consequence, necessary conditions for a local infimum in an optimal control problem are obtained. These strengthen Pontryagin's maximum principle and extend it to more general classes of problems. Bibliography: 8 titles.