“…For linear time-invariant systems, PFs have been defined as the relative contributions of state variables to the evolution of system modes, or as the relative contributions of system modes to the evolution of states. Subsequently, the concept of PFs gained widespread use in power engineering and other applications for analyzing stability (Verghese et al, 1982;Song et al, 2019), reducing dynamic models (Chow, 2013), determining the optimal placement of sensors and stabilizers (Singh et al, 2010), and solving clustering problems (Genk et al, 2005). The interpretation of PFs has been expanded in terms of the sensitivity of eigenvalues (Pagola et al, 1989), modal controllability and observability (Hamdan, Nayfeh, 1989), and modal mobility (Tawalbeh, Hamdan, 2010).…”