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 paper we show that this result also holds true in the case that Ac has non-trivial Jordan blocks. 
DOI: 10.1109/TAC.2013.2246111

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