Abstract
The purpose of this paper is to investigate the structural properties of the decentralized time-invariant linear multivariable systems in connection with the problems of disturbance localization and output decomposition. In the first place, the necessary and sufficient conditions, under which the disturbance localization is possible by applying local state feedback laws, are given. The conditions are also stated for ordinary (centralized) systems with imperfect state measurement and for those with output measurement. Finally, the problems of output decomposition in decentralized linear multivariable systems are proposed, and the necessary and sufficient conditions for the solvability of the problem are derived.
