Exact observability and controllability for 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

The problem of exact observability is analyzed for a wide class of neutral type systems by an infinite dimensional approach. The duality with the exact controllabil-ity problem is the main tool. It is based on an explicit expression of a neutral type system which corresponding to the abstract adjoint system. A nontrivial relation is obtained between the initial neutral system and the system obtained via the adjoint abstract state operator. The characterization of the duality between controllability and observability is deduced, and then observability conditions are obtained.

Mots clés: Duality; Controllability; Neutral type systems 2010 MSC: 93B05; 93B23; Observability; Neutral type systems

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

Rabah Rabah, Grigory M. Sklyar. Exact observability and controllability for linear neutral type systems. Systems and Control Letters, 2016, 89 (March 2016), pp.8--15. ⟨10.1016/j.sysconle.2015.12.010⟩. ⟨hal-01219174v2⟩