In this paper the influence of uncertainty of linear discrete-time sys
tems modelled with white parameters on the properties of mean-square s
tability and compensatability is considered. A measure for the uncerta
inty in the system matrices is introduced. This measure is also a meas
ure for the uncertainty in the system in the sense that stability and
compensatability decreases if this system uncertainty increases. It is
indicated how to calculate numerically the mean-square stability and
compensatability, The results are illustrated with examples.