Open AccessOptimal control of transverse vibration of a moving string with time-varying lengths
Author(s) -
Bing Sun
Publication year - 2022
Publication title -
mathematical control and related fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.658
H-Index - 21
eISSN - 2156-8472
pISSN - 2156-8499
DOI - 10.3934/mcrf.2021042
Subject(s) - pontryagin's minimum principle , string (physics) , optimal control , transverse plane , maximum principle , boundary (topology) , mathematics , vibration , control (management) , computer science , control theory (sociology) , physics , mathematical analysis , mathematical optimization , quantum mechanics , mathematical physics , engineering , artificial intelligence , structural engineering
In this article, we are concerned with optimal control for the transverse vibration of a moving string with time-varying lengths. In the fixed final time horizon case, the Pontryagin maximum principle is established for the investigational system with a moving boundary, owing to the Dubovitskii and Milyutin functional analytical approach. A remark then follows for discussing the utilization of obtained necessary optimality condition.