Equivalence of Laguerre-Based Model Order Reduction and Moment Matching

Equivalence of Laguerre-Based Model Order Reduction and Moment Matching

The equivalence between the classical moment matching and the Laguerre-based reduction approaches is shown. In addition, this equivalence is generalized to include a family of coefficients known as generalized Markov parameters.

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Veröffentlicht in:IEEE transactions on automatic control 2007-06, Vol.52 (6), p.1104-1108
Hauptverfasser: Eid, R., Salimbahrami, B., Lohmann, B.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Automatic control
Bilinear transformations
Chebyshev approximation
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
Laguerre polynomial transforms
Low pass filters
Markov processes
Matching
Mathematical models
moment matching
Order reduction
Polynomials
Power system modeling
Reduced order systems
Reduction
Robustness
Signal design
Stability
Taylor series
Transfer functions
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Beschreibung
Zusammenfassung:The equivalence between the classical moment matching and the Laguerre-based reduction approaches is shown. In addition, this equivalence is generalized to include a family of coefficients known as generalized Markov parameters.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2007.899055