On a class of strongly stabilizable systems of neutral type

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

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

We consider the strong stabilizability problem for delayed system of neutral type. For simplicity the case of one delay in state is studied. We separate a class of such systems and give a constructive solution of the problem in this case, without the derivative of the localized delayed state. Our results are based on an abstract theorem on the strong stabilizability of contractive systems in Hilbert space. An illustrating example is also given.

Mots clés: Neutral type systems; exponential stabilizability; strong stabilizability; infinite dimensional systems.; infinite dimensional systems

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

Rabah Rabah, Grigory M. Sklyar. On a class of strongly stabilizable systems of neutral type. Applied Mathematics Letters, 2005, 18 (4), pp. 463--469. ⟨10.1016/j.aml.2004.02.010⟩. ⟨hal-00819335⟩