Abstract
A method for proving the stability of systems composed of subsystems with similar dynamics through symmetric or nearly symmetric interconnections is proposed. The subsystems are described by a common approximate state space model and an individual upper bound of the modelling errors. For the stability of the symmetric core of the overall system a necessary and sufficient condition is given in terms of two matrices which have only the same order as the subsystems. For the stability of the overall system a sufficient condition is derived that can be successfully used for typical large-scale systems with a large number of subsystems and strong subsystem interactions. This is demonstrated by proving the stability of a large multiarea power system, for which stability tests that are based on weak subsystem interactions fail.
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