In 1, the authors consider n-degree-of-freedom non-classically damped linear systems. They write the system representation in the modal coordinates as
for all t0, where the vector of displacements XtRn, the symmetric and non-negative matrix CRn×n corresponds to the modal damping matrix, and the diagonal matrix
has the square of the undamped natural frequencies of the system, ω12,ω22,,ωn2, on its diagonal.

The authors write that “The currently available...

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