Eigenvalue bounds, stability, nonsingularity of matrix polytopes

Cevik M.

CONTROL AND COMPUTERS, cilt.23, sa.3, ss.84-87, 1995 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 3
  • Basım Tarihi: 1995
  • Dergi Adı: CONTROL AND COMPUTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.84-87
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

Bounds for the real and imaginary parts of the eigenvalues of matrices that depend affinely on a number of uncertain parameters are derived. Conditions that require the testing of only a finite number of matrices are given to guarantee the stability of each member of the set of matrices. As a Side result, necessary and sufficient conditions are established for the nonsingularity of all matrices in the given family.