Electrical and The decentralized stabilization problem of multivariable finite-dimensional systems is considered in a fractional set-up. A new synthesis procedure for decentralized stabilizing compensators is proposed. The class of all admissible local compensators that can be applied to a specified channel as an element of a decentralized compensator is identified. The conditions under which the class of admissible local compensators is generic are investigated. The problem of making a multi-channel system stabilizable and detectable from a single channel applying decentralized feedback around the other channels has been shown to be generically solvable for a given set of dynamic compensators if and only if the plant is strongly connected.