Observation of Volterra systems with scalar kernels

Bernhard Hermann Haak (1) , Birgit Jacob (2)

1 IMB - Institut de Mathématiques de Bordeaux
2 University of Paderborn

Volterra observations systems with scalar kernels are studied. New sufficient conditions for admissibility of observation operators are developed. The obtained results are applied to time-fractional diffusion equations of distributed order.

Domaines: Equations aux dérivées partielles [math.AP]; Optimisation et contrôle [math.OC]

Bernhard Hermann Haak, Birgit Jacob. Observation of Volterra systems with scalar kernels. Journal of Integral Equations and Applications, 2010, pp.0. ⟨hal-00402810⟩