The analysis of exact controllability of neutral type systems by the moment problem approach

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

The problem of exact null-controllability is considered for a wide class of linear neutral-type systems with distributed delay. The main tool of the analysis is the application of the moment problem approach and the theory of the basis property of exponential families. A complete characterization of this problem is given. The minimal time of controllability is specified. The results are based on the analysis of the Riesz basis property of eigenspaces of the neutral-type systems in Hilbert space. Key words. neutral-type systems, exact controllability, moment problem, Riesz basis, distributed delays AMS subject classifications. 93B05, 93C23, 93C25 DOI. 10.1137/060650246 1.

Mots clés: Neutral-type systems; Exact controllability; Moment problem; Riesz basis; Distributed delays

Domaines: Optimisation et contrôle [math.OC]

Rabah Rabah, Grigory M. Sklyar. The analysis of exact controllability of neutral type systems by the moment problem approach. SIAM Journal on Control and Optimization, 2007, 46 (6), pp.2148-2181. ⟨10.1137/060650246⟩. ⟨hal-00580060⟩