Decentralized control of a class of large-scale systems with symmetrically interconnected subsystems

This paper discusses a class of large-scale systems composed of several similar subsystems interconnected with an external system in a symmetrical fashion. A method of determining the set of fixed modes of such a system with respect to decentralized (or partly decentralized) control is presented in terms of the modified subsystems. The completeness of these systems is studied, and a simple condition for such a system to be complete is derived.