Details

Title

Specific duality and stability of positive electrical circuits

Journal title

Archives of Electrical Engineering

Yearbook

2017

Numer

No 4 December

Publication authors

Keywords

duality ; positive ; electrical circuit ; linear charge density ; stability

Divisions of PAS

Nauki Techniczne

Description

Abstract: The specific duality and asymptotic stability of the positive linear electrical circuits are addressed. The specific duality of positive linear electrical circuits composed of resistances, inductances, capacitances and source voltages is established. 1) The linear electrical circuits are positive if and only if the common branches between meshes with resistances and inductances and meshes with resistances and capacitances contain only source voltages; 2) In linear electrical circuits the interchanges of the inductances by the capacitances and the capacitances by inductances do not change the asymptotic stability of the electrical circuits. The asymptotic stability of the positive and nonpositive elec-trical circuits is analyzed.Abstract: The specific duality and asymptotic stability of the positive linear electrical circuits are addressed. The specific duality of positive linear electrical circuits composed of resistances, inductances, capacitances and source voltages is established. 1) The linear electrical circuits are positive if and only if the common branches between meshes with resistances and inductances and meshes with resistances and capacitances contain only source voltages; 2) In linear electrical circuits the interchanges of the inductances by the capacitances and the capacitances by inductances do not change the asymptotic stability of the electrical circuits. The asymptotic stability of the positive and nonpositive elec-trical circuits is analyzed.

Publisher

Polish Academy of Sciences

Date

22.11.2017

Identifier

eISSN: 2300-2506 ; ISSN: 1427-4221

DOI

10.1515/aee-2017-0050

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