On Controllabilty and Stabilizability of Linear Neutral Type Systems

Rabah Rabah (1) , Grigory M. Sklyar (2)

1 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes
2 Institute of Mathematics, University of Szczecin

Linear systems of neutral type are considered using the infinite dimensional approach. Conditions for exact controllability and regular asymptotic stabilizability are given. The main tools are the moment problem approach and the existence of a Riesz basis of invariant subspaces.

Mots clés: Stabilizability; Neutral type systems; Riesz basis; Exact controllability; Stabilizability.

Domaines: Optimisation et contrôle [math.OC]

Rabah Rabah, Grigory M. Sklyar. On Controllabilty and Stabilizability of Linear Neutral Type Systems. Control of Distributed Parameter Systems, Jul 2007, Namur, Belgium. pp.53-54. ⟨hal-00580068⟩