Observability under sampling for bilinear system

Sabeur Ammar (1) , Hind Feki (1) , Jean-Claude Vivalda (2, 3)

1 FSS - Faculté des Sciences de Sfax
2 CORIDA - Robust control of infinite dimensional systems and applications
3 IECL - Institut Élie Cartan de Lorraine

This work is a continuation of the study of the problem of the preservation of the observability under sampling. In this paper, we establish that, for a bilinear system, the property of observability is preserved after sampling provided that the controls take their values in a compact space and do not vary too quickly.

Mots clés: observability; sampling; discrete-time systems; bilinear systems

Domaines: Optimisation et contrôle [math.OC]

Sabeur Ammar, Hind Feki, Jean-Claude Vivalda. Observability under sampling for bilinear system. International Journal of Control, 2014, 87 (2), pp.312-319. ⟨10.1080/00207179.2013.830338⟩. ⟨hal-00876666⟩