Table of Contents
Conference Papers in Mathematics
Volume 2013, Article ID 783510, 4 pages
Conference Paper

Optimal Control of Particle Advection in Couette and Poiseuille Flows

1Instituto de Sistemas e Robótica, FEUP, Rua Roberto Frias s/n, 4200-465 Porto, Portugal
2Centro de Matemática, FCUP, Rua do Campo Alegre, No. 687, 4169-007 Porto, Portugal

Received 16 June 2013; Accepted 30 July 2013

Academic Editors: G. S. F. Frederico, N. Martins, D. F. M. Torres, and A. J. Zaslavski

This Conference Paper is based on a presentation given by Teresa Grilo at “The Cape Verde International Days on Mathematics 2013” held from 22 April 2013 to 25 April 2013 in Praia, Cape Verde.

Copyright © 2013 Teresa Grilo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present the problem of minimum time control of a particle advected in Couette and Poiseuille flows and solve it by using the Pontryagin maximum principle. This study is a first step of an effort aiming at the development of a mathematical framework for the control and optimization of dynamic control systems whose state variable is driven by interacting ODEs and PDEs which can be applied in the control of underwater gliders and mechanical fishes.