Characterization of AE solution sets of parametric linear systems based on the techniques of convex sets

被引：3
|
作者：
Rzezuchowski, T. [1 ]
Wasowski, J. [1 ]
机构：
[1] Warsaw Univ Technol, Fac Math & Informat Sci, Koszykowa 75, PL-00662 Warsaw, Poland
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2017年 / 533卷
关键词：
Linear parametric system; AE solution set; Convex set; Polytope; Minkowski sum; Support function; SOLVABILITY;
D O I：
10.1016/j.laa.2017.07.035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
New approach to linear systems with uncertain parameters is proposed. The notion of AE solution sets is extended to the case when the domain of parameters need not be an interval vector. The tools from the theory of convex sets are applied to the characterization of AE solution sets. The description of these sets by systems of inequalities is presented. Some examples are included. (C) 2017 Elsevier Inc. All rights reserved.
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页码：468 / 490
页数：23
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