Projection-free approximate balanced truncation of large unstable systems

In this article, we show that the projection-free, snapshot-based, balanced truncation method can be applied directly to unstable systems. We prove that even for unstable systems, the unmodified balanced proper orthogonal decomposition algorithm theoretically yields a converged transformation that b...

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Veröffentlicht in:	arXiv.org 2015-04
Hauptverfasser:	Flinois, Thibault L B, Morgans, Aimee S, Schmid, Peter J
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Approximation Computer simulation Cylinders Gramians Impulse response Mathematical models Performance enhancement Physics - Fluid Dynamics Proper Orthogonal Decomposition Reduced order models
Online-Zugang:	Volltext
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