The tractability index of memristive circuits: branch-oriented and tree-based models

Garcia-Redondo, Fernando and Riaza, Ricardo (2012). The tractability index of memristive circuits: branch-oriented and tree-based models. "Mathematical Methods in the Applied Sciences" ;

Description

Title: The tractability index of memristive circuits: branch-oriented and tree-based models
Author/s:
  • Garcia-Redondo, Fernando
  • Riaza, Ricardo
Item Type: Article
Título de Revista/Publicación: Mathematical Methods in the Applied Sciences
Date: 2012
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 memory-resistor or memristor is a new electrical element characterized by a nonlinear charge-flux relation. This device poses many challenging problems, in particular from the circuit modeling point of view. In this paper we address the index analysis of certain differential-algebraic models of memristive circuits; specifically, our attention is focused on so-called branch-oriented models, which include in particular tree-based formulations of the circuit equations. Our approach combines results coming from DAE theory, matrix analysis and the theory of digraphs. This framework should be useful in future studies of dynamical aspects of memristive circuits.

More information

Item ID: 10286
DC Identifier: http://oa.upm.es/10286/
OAI Identifier: oai:oa.upm.es:10286
Deposited by: Dr Ricardo Riaza
Deposited on: 13 Feb 2012 07:29
Last Modified: 20 Apr 2016 18:31
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