Stability, stabilizability and exact controllability of a class 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. The main problems are asymptotic, non-exponential stability, exact controllability and regular asymptotic stabilizability. The main tools are the moment problem approach, the Riesz basis of invariant subspaces and the Riesz basis of family of exponentials.

Mots clés: Neutral type systems; stability; stabilizability; exact controllability

Domaines: Optimisation et contrôle [math.OC]; Systèmes dynamiques [math.DS]

Rabah Rabah, Grigory M. Sklyar. Stability, stabilizability and exact controllability of a class of linear neutral type systems. Systems Theory : Modeling, Analysis and Control, May 2009, Fes, Morocco. pp.109-122. ⟨hal-00426677⟩