A controllability problem for a linear, time-invariant, system with uncertainty of state and control

In the paper a controllability problem for a linear, time-invariant dynamic system with parametric uncertainty of state and control matrices is considered. The system we deal with is a SISO system with pure diagonal state matrix, which elements are non-linear functions of uncertain parameters, described by interval numbers. Elements of control matrix are also non-linear functions of uncertain parameters. In paper simple controllability conditions, based onto geometrical interpretation of interval spectrum were formulated. Results were by a numerical example depicted. (A controllability problem for a linear, time-invariant, system with uncertainty of state and control)