In this work we investigate the application of some model order reduction techniques, based on Krylov subspace methods, to large linear time–invariant systems of fractional order. Theoretical and technical aspects are discussed. The effectiveness of the proposed approach is verified by numerical simulations on a test problem describing the heat conduction in electro–thermal processes involved in micro–electromechanical systems. An application in a parameter identification problem is also presented.
Model order reduction on Krylov subspaces for fractional linear systems / Garrappa, R; Maione, G. - ELETTRONICO. - 46:1(2013), pp. 143-148. (Intervento presentato al convegno 6th Workshop on Fractional Differentiation and Its Applications, FDA 2013 tenutosi a Grenoble, France nel February 4-6, 2013) [10.3182/20130204-3-FR-4032.00138].
Model order reduction on Krylov subspaces for fractional linear systems
Maione G
2013-01-01
Abstract
In this work we investigate the application of some model order reduction techniques, based on Krylov subspace methods, to large linear time–invariant systems of fractional order. Theoretical and technical aspects are discussed. The effectiveness of the proposed approach is verified by numerical simulations on a test problem describing the heat conduction in electro–thermal processes involved in micro–electromechanical systems. An application in a parameter identification problem is also presented.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
