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Published in:
2012 | OriginalPaper | Chapter
Analytical Properties of Circuits with Memristors
Author : Ricardo Riaza
Published in: Scientific Computing in Electrical Engineering SCEE 2010
Publisher: Springer Berlin Heidelberg
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The memristor is a new lumped circuit element defined by a nonlinear charge-flux characteristic. The recent design of such a device has motivated a lot of research on this topic. In this communication we address certain analytical properties of semistate models of memristive circuits formulated in terms of differential-algebraic equations (DAEs). Specifically, we focus on the characterization of the
geometric index
of the DAEs arising in so-called branch-oriented analysis methods, which cover in particular tree-based techniques. Some related results involving nodal models and non-passive problems are discussed in less detail.