Extensions of "Padé discretization for linear systems with polyhedral lyapunov functions" for generalized Jordan structures

Abstract

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. © 1963-2012 IEEE.