The decentralized control problem for linear dynamic systems is revisi
ted using a parameter space approach which enables the definition of t
he decentralized feedbacks from the existence of non-empty parameter c
onvex sets. The convexity property enables the derivation of efficient
numerical algorithms based on standard approaches in convex programmi
ng. The continuous-time and discrete-time cases are investigated and t
he decentralized control design is also treated to meet other importan
t assignments such as: optimal H-2 performance index, absolute stabili
ty, H-infinity, prescribed attenuation and robustness against actuator
failures. Some numerical experiments illustrate the potential of this
new control design.