Kron Reduction of Nonlinear Networks

被引：1

作者：

van der Schaft, Arjan ^{[1
,2
]}

Besselink, Bart ^{[1
,2
]}

Huijzer, Anne-Men ^{[1
,2
]}

机构：

[1] Univ Groningen, Bernoulli Inst, Groningen Cognit Syst & Mat Ctr CogniGron, NL-9700 AK Groningen, Netherlands

[2] Univ Groningen, Jan C Willems Ctr Syst & Control, NL-9700 AK Groningen, Netherlands

来源：

IEEE CONTROL SYSTEMS LETTERS | 2024年 / 8卷

关键词：

Vectors; Laplace equations; Electric potential; Voltage; Symmetric matrices; Memristors; Convex functions; Network analysis and control; model/controller reduction; large-scale systems;

D O I：

10.1109/LCSYS.2024.3398194

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Kron reduction is concerned with the elimination of interior nodes of physical network systems, such as linear resistive circuits. In this letter it is shown how this can be extended to networks with nonlinear static relations between the variables associated to the edges of the underlying graph.

引用

页码：556 / 561

页数：6

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