Abstract: We revisit the notion of discrete control by M. Asch considering the case where the control is discreet. This point of view leads to problems of controllability with or without constraints on the control. This article focuses on the case of hyperbolic equations although similar developments can be done for other PDE’s. The main tool used is the HUM method which is "adapted" to the constraints.
Benbrahim Abdelouahab, Rezzoug Imad, Necib Abdelhalim, "A Revision of M. Asch Notion of Discrete Control," WSEAS Transactions on Applied and Theoretical Mechanics, vol. 17, pp. 245-253, 2022, DOI:10.37394/232011.2022.17.29
Benbrahim Abdelouahab, Rezzoug Imad, Necib Abdelhalim. A Revision of M. Asch Notion of Discrete Control.
WSEAS Transactions on Applied and Theoretical Mechanics. 2022;17:245-253. 10.37394/232011.2022.17.29