Interval Arithmetic and Its Application to Electrical Circuits

作     者：Nacira Diffellah Fouzia Hamadache Khier Benmahammed 

作者机构：Department of Electronic Faculty of Science and Technology University of Bordj Bou Arreridj 34000 Algeria LSI Intelligent Systems Laboratory Setif l 9000 Algeria Department of Electronic Faculty of Science and Technology University of Setif l 9000 Algeria 

出 版 物：《Computer Technology and Application》 (计算机技术与应用（英文版）)

年 卷 期：2013年第4卷第8期

页      面：424-430页

学科分类：1305[艺术学-设计学（可授艺术学、工学学位）] 080804[工学-电力电子与电力传动] 080805[工学-电工理论与新技术] 13[艺术学] 0808[工学-电气工程] 08[工学] 080203[工学-机械设计及理论] 081304[工学-建筑技术科学] 0802[工学-机械工程] 0813[工学-建筑学] 080201[工学-机械制造及其自动化] 

主　　题：Interval arithmetic linear system uncertain information propagation of uncertainties information. 

摘      要：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.