A complementary view on time-varying systems

This contribution is complementary to a previous approach by the authors in that it takes a time-varying mode-vector solution as an a priori assumption. The associated dynamic eigenvalue problem is solved by triangularizing the system equations, again accomplished by successive Riccati transforms. It is explicitly shown that equal eigenvalues do not give rise to the Jordan form. Although the mode-vectors are not uniquely determined, it is demonstrated by example that different representations yield identical transition matrices, as it should