Model reduction for systems with inhomogeneous initial conditions

被引：33

作者：

Beattie, Christopher ^{[1
,2
]}

Gugercin, Serkan ^{[1
]}

Mehrmann, Volker ^{[2
]}

机构：

[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA

[2] TU Berlin, Inst Math, MA 4-5,Str D 17 Juni 136, D-10623 Berlin, Germany

来源：

SYSTEMS & CONTROL LETTERS | 2017年 / 99卷

关键词：

Model reduction; Inhomogeneous initial condition; Balanced truncation; Transfer map splitting; Approximation error balancing; Iterative rational Krylov algorithm; BALANCED TRUNCATION; APPROXIMATION; INTERPOLATION;

D O I：

10.1016/j.sysconle.2016.11.007

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：99 / 106

页数：8

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