This note outlines an extension of the Data Dependent Systems (DDS) methodology to the modal analysis of vibratory systems with eigenvalues of arbitrary multiplicity. DDS [1, 2] is a time-series approach to system analysis that combines a rational modeling strategy with elements of linear system theory. The use of an appropriate state-space setting makes it a powerful tool for system identification, and the approach has been successfully applied to the modal characterization of mechanical systems in references [2–4], which provide many examples with real life data.

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