Random search of stable member in a matrix polytope

Yilmaz S., BÜYÜKKÖROĞLU T., Dzhafarov V.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.308, ss.59-68, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 308
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.cam.2016.05.020
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.59-68
  • Anahtar Kelimeler: Stable matrix, Matrix polytope, Random search, Bialternate product, ROBUST STABILITY, PARAMETER, FAMILIES
  • Anadolu Üniversitesi Adresli: Evet

Özet

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.