Abstract
This research focuses on a regional optimal control problem of a bilinear wave equation evolving on a spatial domain Ω⊂Rd, where d≥1. The equation is excited by bounded controls that act on the velocity term. The main objective of this study is to minimize a functional cost, which involves tracking a desired state within a subregion ω of Ω and the energy term over the time interval [0,T]. We successfully prove the existence of an optimal control that we characterize as a solution to an optimality system. Additionally, an algorithm for the computation of such a control is given and successfully illustrated through simulations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
