Title :
Model reduction by moment matching for ZIP systems
Author :
Padoan, Alberto ; Astolfi, Alessandro
Author_Institution :
Dept. of Electr. & Electron. Eng., Imperial Coll. London, London, UK
Abstract :
The family of linear systems satisfying the “zeros-interlacing-poles” (ZIP) property is considered. For these systems the problem of model reduction by moment matching is investigated. It is shown that, under some assumptions, the ZIP property is preserved by the reduced order model. The problem of determining ZIP reduced order models with prescribed eigenvalues is studied and necessary and sufficient conditions for the solution of the eigenvalue placement problem are provided. Polynomial and graphical interpretations of such conditions are also given.
Keywords :
eigenvalues and eigenfunctions; linear systems; poles and zeros; reduced order systems; ZIP systems; eigenvalue placement problem; linear systems; model reduction; moment matching; necessary conditions; reduced order model; sufficient conditions; zeros-interlacing-poles property; Eigenvalues and eigenfunctions; Markov processes; Mathematical model; Polynomials; Reduced order systems; Vectors;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7039954
