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

• Tipo: Artigo em Livro de Atas de Conferência Internacional
• Data: 2022

Autores

Balsa, C (Autor) Outra; Sílvio Gama (Autor) FCUP

Ata de Conferência Internacional

Título: Communications in Computer and Information Science

Páginas: 139-150

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

12 September 2022 through 15 September 2022

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 1 Citação

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 12