Controllability of time-varying dynamical systems with delay

Controllability problems for sufficiently wide cass of linear timevarying systems of differential equations are studied. The unified method of researching controllability for time-invariant and time-varying systems of ordinary differential equations singularly perturbed equations and linear differential equations with delay is suggested. Some effective conditions of complete as well as relative controllability are obtained for these type of systems in terms of the components of solutions to matrix algebraic defining equations.