Recently, we showed that certain types of polyhedral Lyapunov functions for linear time-invariant systems, are preserved by diagonal Pade approximations, under the assumption that the continuous-time system matrix A(c) has distinct eigenvalues. In this technical note, we show that this result also holds true in the case that A(c) has non-trivial Jordan blocks.
Extensions of "Pade Discretization for Linear Systems With Polyhedral Lyapunov Functions" for Generalized Jordan Structures
Rossi, Francesco;
2013-01-01
Abstract
Recently, we showed that certain types of polyhedral Lyapunov functions for linear time-invariant systems, are preserved by diagonal Pade approximations, under the assumption that the continuous-time system matrix A(c) has distinct eigenvalues. In this technical note, we show that this result also holds true in the case that A(c) has non-trivial Jordan blocks.
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