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Journals / Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi b- Teorik Bilimler / 2022 / Cilt: 10 - Sayı: 1

COMMON QUADRATIC LYAPUNOV FUNCTIONS FOR TWO STABLE MATRICES

Şerife YILMAZ

Pages
18–26
DOI
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Abstract

In this paper we consider the problem of existence and evaluation of common solutions to Lyapunov equations for switched systems consisting of two real or complex matrices. Conditions for existence and solution algorithm based on the gradient of a matrix function are given. Number of examples are provided.