The contraction property is proposed as a tool for design of linear di
screte-time control systems. Explicit formulae are given for all linea
r time-invariant state feedback controllers that imply the contraction
property. The obtained controllers are tuned with only two user param
eters. The two parameters are closely connected to the settling time a
nd the damping of the closed loop system, respectively. The approach i
s illustrated by means of simulations.