Genericity of the strong observability for sampled

Sabeur Ammar (1) , Jean-Claude Vivalda (2, 3) , Majid Massaoud (4)

1 Institut Supérieur de l'Informatique et Multimédia de Sfax
2 SPHINX - Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization
3 IECL - Institut Élie Cartan de Lorraine
4 FSS - Faculté des Sciences de Sfax

In this paper we prove that, generically, a sampled data system is observable provided 4 that the number of outputs is greater than the number of inputs plus 1. 5

Mots clés: Transversality; Observability; Genericity; Sampled systems

Domaines: Optimisation et contrôle [math.OC]

Sabeur Ammar, Jean-Claude Vivalda, Majid Massaoud. Genericity of the strong observability for sampled. SIAM Journal on Control and Optimization, 2018, 56 (2), pp.28. ⟨10.1137/16M1084961⟩. ⟨hal-01630461⟩