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Stability problems of special matrix families

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2019
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Abstract (EN)

In this thesis, the stability of the systems is investigated. The relationships between the stability of the systems and the eigenvalues of the matrices are considered. For this reason, some stability definitions and criteria of special matrix and matrix families are given. Also various examples are given and explained. Especially, Hurwitz, Schur and diagonal stabilities of these special matrices are focused on. In particular, for Hurwitz stability of interval Metzlerian matrix families one necessary and sufficient condition is obtained. The obtained result is illustrated by number of examples. Keywords: Metzlerian Matrices; Special Matrices; Diagonal Stability; Hurwitz Stability; Schur Stability

Author

Sümeyye Acar

How to Cite

Sümeyye Acar (Master Thesis). Stability problems of special matrix families, 2019, Bilecik Şeyh Edebali Üniversity.

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