Balanced reduction of linear periodic systems
Kybernetika, Tome 35 (1999) no. 6, p. [737].

Voir la notice de l'article dans Czech Digital Mathematics Library

For linear periodic discrete-time systems the analysis of the model error introduced by a truncation on the balanced minimal realization is performed, and a bound for the infinity norm of the model error is introduced. The results represent an extension to the periodic systems of the well known results on the balanced truncation for time-invariant systems. The general case of periodically time-varying state-space dimension has been considered.
Classification : 93B17, 93C05, 93C55, 93D15
Mots-clés : balanced truncation; linear periodic system; model error; infinity norm 
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     author = {Longhi, Sauro and Orlando, Giuseppe},
     title = {Balanced reduction of linear periodic systems},
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Longhi, Sauro; Orlando, Giuseppe. Balanced reduction of linear periodic systems. Kybernetika, Tome 35 (1999) no. 6, p. [737]. https://geodesic-test.mathdoc.fr/item/KYB_1999__35_6_a6/