On The Robust D-Stability of The Polytope of Matrices

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Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi
Cilt: 25 Sayı: 4
On The Robust D-Stability of The Polytope of Matrices

On The Robust D-Stability of The Polytope of Matrices

Authors : Şerife Yılmaz

Pages : 767-773

Doi:10.35414/akufemubid.1577531

View : 42 | Download : 65

Publication Date : 2025-08-04

Article Type : Research Paper

Abstract :In this paper, the robust D-stability of a matrix polytope, defined as the convex hull of a finite set of D-stable matrices, is considered. A sufficient condition for the robust D-stability of the matrix polytope is provided for the region D\\\\subset C defined as quadratic matrix inequalities (QMI). An algorithm for solving linear matrix inequalities (LMIs) is presented using a convex optimization method based on the maximal eigenvalue function of symmetric matrices. Illustrative examples are provided to demonstrate the applications of this stability condition.
Keywords : Matrisler Politopu, Gürbüz D-Kararlılık, KME Bölgesi, Lineer Matris Eşitsizliği, Konveks Programlama.

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