Study on Interval Arithmetic and Its Application to Electrical Circuits

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Study on Interval Arithmetic and Its Application to Electrical Circuits

June 10, 2021 Mathematics and Computer Science 0

In general, interval arithmetic is a useful method for dealing with inequalities, estimated numbers, error bounds, and other convex and bounded sets. In this section, we’ll look at a few simple cases where intervals and ranges of functions over intervals appear naturally. Interval mathematics is a generalization in which interval numbers replace real numbers, interval arithmetic replaces real arithmetic, and interval analysis replaces real analysis. The interval has two bounds: a lower bound and an upper bound. The current paper presents some of the fundamental notions and techniques of interval analysis that will be needed in the future to present various interval analysis applications in electric circuit theory. This article discusses the representation of uncertain and inaccurate information, interval arithmetic, and its application to electrical circuits. Each function has a mathematical equivalent elementary interval; all common mathematical functions have an equivalent interval.

Author(s) Details

Nacira Diffellah
ETA Laboratory of Electronics, Faculty of Science and Technology, University of Bordj Bou Arreridj, 34030, Algeria.

Fouzia Hamadache
ETA Laboratory of Electronics, Faculty of Science and Technology, University of Bordj Bou Arreridj, 34030, Algeria.

Khier Benmahammed
LSI Intelligent Systems Laboratory, University of Sétif, 19000, Algeria.

View Book :-  https://stm.bookpi.org/CTMCS-V1/article/view/1390

 

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