Characterization and partial synthesis of the behavior of resistive circuits at their terminals

Arjan van der Schaft

doi:10.1016/j.sysconle.2010.05.005

Characterization and partial synthesis of the behavior of resistive circuits at their terminals

Arjan van der Schaft

Systems, Control and Applied Analysis

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Abstract

The external behavior of linear resistive circuits with terminals is characterized as a linear input-output map given by a weighted Laplacian matrix. Conditions are derived for shaping the external behavior of the circuit by interconnection with an additional resistive circuit. (C) 2010 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	423-428
Number of pages	6
Journal	Systems & Control Letters
Volume	59
Issue number	7
DOIs	https://doi.org/10.1016/j.sysconle.2010.05.005
Publication status	Published - Jul-2010

Keywords

Open graphs
Boundary vertices
Kirchhoff's laws
Laplacian matrix
Schur complements
Partial synthesis by interconnection
SYSTEMS
DIRAC

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title = "Characterization and partial synthesis of the behavior of resistive circuits at their terminals",

abstract = "The external behavior of linear resistive circuits with terminals is characterized as a linear input-output map given by a weighted Laplacian matrix. Conditions are derived for shaping the external behavior of the circuit by interconnection with an additional resistive circuit. (C) 2010 Elsevier B.V. All rights reserved.",

keywords = "Open graphs, Boundary vertices, Kirchhoff's laws, Laplacian matrix, Schur complements, Partial synthesis by interconnection, SYSTEMS, DIRAC",

author = "Schaft, {Arjan van der}",

note = "Relation: http://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science",

year = "2010",

month = jul,

doi = "10.1016/j.sysconle.2010.05.005",

language = "English",

volume = "59",

pages = "423--428",

journal = "Systems & Control Letters",

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AU - Schaft, Arjan van der

N1 - Relation: http://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

PY - 2010/7

Y1 - 2010/7

N2 - The external behavior of linear resistive circuits with terminals is characterized as a linear input-output map given by a weighted Laplacian matrix. Conditions are derived for shaping the external behavior of the circuit by interconnection with an additional resistive circuit. (C) 2010 Elsevier B.V. All rights reserved.

AB - The external behavior of linear resistive circuits with terminals is characterized as a linear input-output map given by a weighted Laplacian matrix. Conditions are derived for shaping the external behavior of the circuit by interconnection with an additional resistive circuit. (C) 2010 Elsevier B.V. All rights reserved.

KW - Open graphs

KW - Boundary vertices

KW - Kirchhoff's laws

KW - Laplacian matrix

KW - Schur complements

KW - Partial synthesis by interconnection

KW - SYSTEMS

KW - DIRAC

U2 - 10.1016/j.sysconle.2010.05.005

DO - 10.1016/j.sysconle.2010.05.005

M3 - Article

SN - 0167-6911

VL - 59

SP - 423

EP - 428

JO - Systems & Control Letters

JF - Systems & Control Letters

IS - 7

ER -

Characterization and partial synthesis of the behavior of resistive circuits at their terminals

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Keywords

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