Feasibility in finite time

Jean-Baptiste Hiriart-Urruty (1) , Abderrahim Jourani (2) , Sjur D. Flåm (3)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 IMB - Institut de Mathématiques de Bourgogne [Dijon]
3 UiB - University of Bergen

It is common to tolerate that a system’s performance be unsustainable during an interim period. To live long however, its state must eventually satisfy various constraints. In this regard we design here differential inclusions that generate, in one generic format, two distinct phases of system dynamics. The first ensures feasibility in finite time; the second maintains that property forever after.

Domaines: Mathématiques [math]

Jean-Baptiste Hiriart-Urruty, Abderrahim Jourani, Sjur D. Flåm. Feasibility in finite time. Journal of Dynamical and Control Systems, 2009, 15 (4), pp.537-555. ⟨10.1007/s10883-009-9074-z⟩. ⟨hal-00627094⟩