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Main Title: Model Reduction for Systems with Inhomogeneous Initial Conditions
Author(s): Beattie, Christopher A.
Gugercin, Serkan
Mehrmann, Volker
Type: Research Paper
Abstract: We consider the model reduction problem for linear time-invariant dynamical systems having nonzero (but otherwise indeterminate) initial conditions. Building upon the observation that the full system response is decomposable as a superposition of the response map for an unforced system having nontrivial initial conditions and the response map for a forced system having null initial conditions, we develop a new approach that involves reducing these component responses independently and then combining the reduced responses into an aggregate reduced system response. This approach allows greater flexibility and offers better approximation properties than other comparable methods.
Subject(s): model reduction
inhomogeneous initial condition
balanced truncation
transfer map splitting
approximation error balancing
iterative rational Krylov algorithm
Issue Date: 29-Aug-2016
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 34H05 Control problems
65L70 Error bounds
65L05 Initial value problems
37-04 Explicit machine computation and programs (not the theory of computation or programming)
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2016, 15
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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