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Interval Arithmetic and Its Application to Electrical Circuits



Author(s)

Nacira Diffellah, Fouzia Hamadache and Khier Benmahammed

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DOI:10.17265/1934-7332/2013.08.007

Interval arithmetic is an elegant tool for practical work with inequalities, approximate numbers, error bounds, and more
generally with certain convex and bounded sets. In this section we give a number of simple examples showing where intervals and ranges of functions over intervals arise naturally. Interval mathematics is a generalization in which interval numbers replace real numbers, interval arithmetic replaces real arithmetic, and interval analysis replaces real analysis. Interval is limited by two bounds: lower bound and upper bound. The present paper introduces some of the basic notions and techniques from interval analysis needed in the sequel for presenting various uses of interval analysis in electric circuit theory and its applications. In this article we address the representation of uncertain and imprecise information, the interval arithmetic and its application to electrical circuits.

Interval arithmetic, linear system, uncertain information, propagation of uncertainties, information.