This paper deals with the problem of regional gradient controllability of hyperbolic systems. We show how one can reach a desired state gradient given only on a part of the system evolution domain. Also we explore a numerical approach using Hilbert UniquenessMethod (HUM) that leads to an explicit formula of the optimal control. The obtained results are successfully tested through computer simulations leading to some conjectures.
Bourray, Hamid; Boutoulout, Ali; and El Harraki, Imad
"Gradient Controllability for Hyperbolic Systems,"
Information Sciences Letters: Vol. 3
, Article 2.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol3/iss1/2