On the Genericity of the Differential Observability of Controlled Discrete-Time Systems

Sabeur Ammar , Mohamed Mabrouk , Jean-Claude Vivalda (1)

1 CORIDA - Robust control of infinite dimensional systems and applications

In this paper, we prove the genericity of the differential observability for discrete-time systems with more outputs than inputs.

Mots clés: observability; nonlinear systems; discrete-time systems; transversality theory

Domaines: Optimisation et contrôle [math.OC]; Topologie algébrique [math.AT]

Sabeur Ammar, Mohamed Mabrouk, Jean-Claude Vivalda. On the Genericity of the Differential Observability of Controlled Discrete-Time Systems. SIAM Journal on Control and Optimization, 2007, 46 (6), pp.2182-2198. ⟨10.1137/060677938⟩. ⟨hal-00601114⟩