Extensions of “Padé Discretization for Linear Systems With Polyhedral Lyapunov Functions” for Generalized Jordan Structures

Recently, we showed that certain types of polyhedral Lyapunov functions for linear time-invariant systems, are preserved by diagonal Padé approximations, under the assumption that the continuous-time system matrix Ac has distinct eigenvalues. In this technical note, we show that this result also holds true in the case that Ac has non-trivial Jordan blocks.