A Control Problem with Passive Particles Driven by Point Vortices on the Sphere

• Type: Article in International Conference Proceedings Book
• Date: 2022

Authors

Balsa, C (Author) Other; Sílvio Gama (Author) FCUP

Conference proceedings International

Title: Communications in Computer and Information Science

Pages: 139-150

2nd International Conference on Advanced Research in Technologies, Information, Innovation and Sustainability, ARTIIS 2022

12 September 2022 through 15 September 2022

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 1 Citation

Other information

Authenticus ID: P-00X-HZQ

DOI: 10.1007/978-3-031-20319-0_11

Abstract (EN): The objective of this study is to control the motion of a passive particle advected by N point vortices in a sphere. The square of the L-2 norm of control, necessary for the system to evolve from a starting point to an end point in an a priori fixed time, must be minimized. If the motion is generated by a single vortex (N = 1), we show that the system is controllable. The problem is also solved by a direct approach, where the control problem is transformed into a nonlinear optimization problem that is solved numerically. In the case of one (N = 1), two (N = 2), or three (N = 3) point vortices, the numerical results show the existence of near/quasi-optimal control.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12