Abstract
In this paper, a group structure and stability regions of a large scale discrete composite system composed of many locally and globally stable subsystems are considered.
First, the interconnected structure of this composite system is related to a graph and represented by a Boolean matrix. A grouping for the discrete composite systems is carried out by deriving the canonical form of the Boolean matrix.
Second, disconnecting the whole composite systems into the groups obtained, stability conditions and stability regions of each disconnected group are searched.
Finally, it is shown that the stability of the whole discrete composite system is guaranteed if each disconnected group is stable and that the stability regions of this whole discrete composite system are constructed systematically from the stability regions of the disconnected groups.
