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Common diagonal solutions for second order complex family

Cilt: 4 Sayı: 1 16 Mayıs 2019
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Common diagonal solutions for second order complex family

Öz

In this paper for second order complex interval matrix family we consider the problem of existence and evaluation of common diagonal solutions for the Lyapunov matrix inequality. Necessary and sufficient conditions are given. Number of examples are given, where known sufficient conditions do not give common solutions.



Anahtar Kelimeler

Kaynakça

  1. E.~Kaszkurewicz, A.~Bhaya. Matrix Diagonal Stability in Systems and Computation. Birkhauser, Boston, 2000.
  2. O.~Pastravanu, M.-H.~Matcovschi. Diagonal stability of interval matrices and applications. Linear Algebra and its Applications, 433(8):1646--1658, 2010.
  3. H.K.~Wimmer. Diagonal matrix solutions of a discrete-time Lyapunov inequality. IEEE Transactions on Automatic Control, 43(3): 442--445, 1998.
  4. C.R.~Johnson, T.D.~Lenker, S.K.~Narayan. Schur-type stability properties and complex diagonal scaling. Linear Algebra and its Applications , 429(10):2497--2520, 2008.
  5. V.~Dzhafarov, T.~Büyükköroğlu. On the stability of a convex set of matrices. Linear Algebra and its Applications, 414(2): 547--559, 2006.
  6. B.N.~Datta. Stability and inertia. Linear Algebra and its Applications, 302:563--600,1999.
  7. G.W.~Cross. Three types of matrix stability. Linear Algebra and its Applications , 20(3):253--263, 1978.
  8. G.~Barker, A.~Berman, R.~Plemmons. Positive diagonal solutions to the Lyapunov equations. Linear and Multilinear Algebra, 5(4): 249--256, 1978.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

16 Mayıs 2019

Gönderilme Tarihi

2 Nisan 2019

Kabul Tarihi

15 Mayıs 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 4 Sayı: 1

Kaynak Göster

APA
Yıldız, B. (2019). Common diagonal solutions for second order complex family. Turkish Journal of Science, 4(1), 39-45. https://izlik.org/JA57GB56BP
AMA
1.Yıldız B. Common diagonal solutions for second order complex family. TJOS. 2019;4(1):39-45. https://izlik.org/JA57GB56BP
Chicago
Yıldız, Bengi. 2019. “Common diagonal solutions for second order complex family”. Turkish Journal of Science 4 (1): 39-45. https://izlik.org/JA57GB56BP.
EndNote
Yıldız B (01 Mayıs 2019) Common diagonal solutions for second order complex family. Turkish Journal of Science 4 1 39–45.
IEEE
[1]B. Yıldız, “Common diagonal solutions for second order complex family”, TJOS, c. 4, sy 1, ss. 39–45, May. 2019, [çevrimiçi]. Erişim adresi: https://izlik.org/JA57GB56BP
ISNAD
Yıldız, Bengi. “Common diagonal solutions for second order complex family”. Turkish Journal of Science 4/1 (01 Mayıs 2019): 39-45. https://izlik.org/JA57GB56BP.
JAMA
1.Yıldız B. Common diagonal solutions for second order complex family. TJOS. 2019;4:39–45.
MLA
Yıldız, Bengi. “Common diagonal solutions for second order complex family”. Turkish Journal of Science, c. 4, sy 1, Mayıs 2019, ss. 39-45, https://izlik.org/JA57GB56BP.
Vancouver
1.Bengi Yıldız. Common diagonal solutions for second order complex family. TJOS [Internet]. 01 Mayıs 2019;4(1):39-45. Erişim adresi: https://izlik.org/JA57GB56BP