Currently my research interests fit into the functional analysis and operator theory framework. More specifically, they revolve around the analysis of admissibility and controllability of dynamical systems expressed by delayed semigroups. This subject embraces such topics as Hankel/Toeplitz and composition operators, Hardy spaces, Carleson embeddings or Lp spaces of vector valued functions, including Sobolev spaces.
I also have expertise in such areas as measures of noncompactness and fixed point theory applied, in particular, to controllability and observability analysis of nonlinear infinite dimensional dynamical systems.
Subjects related to mathematical modelling, optimal control and hybrid systems resurface occasionally.