Stability investigations of nonconservative systems MX¨ + BX˙ + CX = 0 in mechanics and control theory become substantially easier if the coefficient matrices B and C are either both real symmetric or both complex symmetric. It is therefore of interest to give conditions under which, by means of a similarity transformation, a system may be converted into one of these forms. We discuss the following questions: Are such systems robust with respect to perturbations in the entries of the coefficient matrices? Do relevant applications exist?

This content is only available via PDF.
You do not currently have access to this content.