Random search of stable member in a matrix polytope

被引：1
|
作者：
Yilmaz, Serife [1 ]
Buyukkoroglu, Taner [2 ]
Dzhafarov, Vakif [2 ]
机构：
[1] Mehmet Akif Ersoy Univ, Dept Elementary Educ, Fac Educ, Istiklal Campus, TR-15030 Burdur, Turkey
[2] Anadolu Univ, Fac Sci, Dept Math, TR-26470 Eskisehir, Turkey
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2016年 / 308卷
关键词：
Stable matrix; Matrix polytope; Random search; Bialternate product; ROBUST STABILITY; PARAMETER; FAMILIES;
D O I：
10.1016/j.cam.2016.05.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a matrix polytope we consider the existence problem of a stable member in it. We suggest an algorithm in which part of uncertainty parameters is chosen randomly. Applications to affine families and 3 x 3 interval families are considered. A necessary and sufficient condition for the existence of a stable member is given for general interval families with nonnegative off-diagonal intervals. (C) 2016 Elsevier B.V. All rights reserved.
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页码：59 / 68
页数：10
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