Structural characterization of classical and memristive circuits with purely imaginary eigenvalues

Riaza, Ricardo and Tischendorf, Caren (2012). Structural characterization of classical and memristive circuits with purely imaginary eigenvalues. "International Journal of Circuit Theory and Applications", v. accept ;

Description

Title: Structural characterization of classical and memristive circuits with purely imaginary eigenvalues
Author/s:
  • Riaza, Ricardo
  • Tischendorf, Caren
Item Type: Article
Título de Revista/Publicación: International Journal of Circuit Theory and Applications
Date: 2012
Volume: accept
Subjects:
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información [hasta 2014]
Creative Commons Licenses: None

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Abstract

The hyperbolicity problem in circuit theory concerns the existence of purely imaginary eigenvalues (PIEs) in the linearization of the time-domain description of the circuit dynamics. In this paper we characterize the circuit configurations which, in a strictly passive setting, yield purely imaginary eigenvalues for all values of the capacitances and inductances. Our framework is based on branch-oriented, semistate (differential-algebraic) circuit models which capture explicitly the circuit topology, and uses several notions and results from digraph theory. So-called P-structures arising in the analysis turn out to be the key element supporting our results. The analysis is shown to hold not only for classical (RLC) circuits but also for nonlinear circuits including memristors and other mem-devices.

More information

Item ID: 10287
DC Identifier: http://oa.upm.es/10287/
OAI Identifier: oai:oa.upm.es:10287
Deposited by: Dr Ricardo Riaza
Deposited on: 13 Feb 2012 06:58
Last Modified: 20 Apr 2016 18:31
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