Geodesic
Balanced reduction of linear periodic systems
Kybernetika, Tome 35 (1999) no. 6, pp. 737-751 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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
Keywords: balanced truncation; linear periodic system; model error; infinity norm 
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Longhi, Sauro; Orlando, Giuseppe. Balanced reduction of linear periodic systems. Kybernetika, Tome 35 (1999) no. 6, pp. 737-751. http://geodesic.mathdoc.fr/item/KYB_1999_35_6_a6/

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