Stabilizing schemes for piecewise-linear reduced order models via projection and weighting functions

被引：11
作者：
Bond, Bradley N. [1 ]
Daniel, Luca [1 ]
机构：
[1] MIT, Elect Res Lab, 77 Massachusetts Ave, Cambridge, MA 02139 USA
来源：
IEEE/ACM INTERNATIONAL CONFERENCE ON COMPUTER-AIDED DESIGN DIGEST OF TECHNICAL PAPERS, VOLS 1 AND 2 | 2007年
关键词：
D O I：
10.1109/ICCAD.2007.4397372
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we present several results concerning the stabilization of piecewise-linear reduced order models. We include proofs of internal and external stability for models whose system matrices possess special structures. We then introduce a new projection scheme, and a new set of weighting functions which allow us to extend some of these results to piecewise-linear systems comprised of arbitrary matrices, at least one of which is Hurwitz. Included are an algorithm for creating switching piecewise-linear reduced models comprised of globally exponentially stable systems, and stable simulation results for a system which produces unstable results when using the standard TPWL method.
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页码：860 / +
页数：3
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