Recently, we showed that certain types of polyhedral Lyapunov functions for linear time-invariant systems, are preserved by diagonal Pad ´ e 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
Extensions of “Padé Discretization for Linear Systems With Polyhedral Lyapunov Functions" for Generalized Jordan Structures
COLANERI, PATRIZIO;
2013-01-01
Abstract
Recently, we showed that certain types of polyhedral Lyapunov functions for linear time-invariant systems, are preserved by diagonal Pad ´ e 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 blocksFile in questo prodotto:
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