Equivalence of regular matrix pencil DAE systems by bisimulation

摘要

In this paper, we define the notion of bisimulation relations for DAE systems having a regular matrix pencil. It is well-known that under the assumption of regularity of the matrix pencil the state vector of the DAE system can be split into two parts: one corresponding to the “ordinary” input-state-output behavior corresponding to a standard proper transfer matrix, and the other one related to a polynomial transfer matrix. Employing the corresponding Wong sequences, we develop the notion of bisimulation relation between two regular matrix pencil DAE systems, being the direct product of two partial bisimulation relations corresponding to the fast and the slow subsystems.