On a vector moment problem arising in the analysis of neutral type systems

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

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

The solvability of some new vector moment problem related with the exact controllability of neutral type systems is investigated. Condition of equivallence of this problem with the controllability of some system is analyzed. The time of solvability is precised.

Mots clés: Vector moment problem; exact controllability

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

Kateryna V. Sklyar, Rabah Rabah, Grigory M. Sklyar. On a vector moment problem arising in the analysis of neutral type systems. Spectral and Evolution Problems, 2011, 20 (2), pp.133--137. ⟨hal-00580029⟩