Citation link:
Authors:
Kolev, Ljubomir Varadinov; Колев, Любомир Варадинов; Filipova-Petrakieva, Simona Kirilova; Филипова-Петракиева, Симона Кирилова; Владов, Симеон Стоянов рец.
Title:
Outer bounds on the eingenvalues of interval matrices – the complex eingenvalues case
Other Titles:
Външни оценки на собствените стойности на интервални матрици - комплексен случай
Date of Issue:
2001
Is Part of:
Годишник на ТУ-София, Том 51, 2000-2001, с. 139-147
Publisher:
ТУ-София
Identifiers:
0374-342X [issn]
Type:
Article
Language:
eng
Subject:
електротехника, теоретична – линейни вериги и системи; матрици – дискретни системи – приложение
Abstract:
Stability analysis of linear circuits and systems under interval parameters uncertainties can be equated to estimating the eigenvalues of interval matrices. In this paper, the problem of determining outer bounds on the ranges of the eigenvalues of interval matrices with complex eigenvalues, is considered. A method for computing such bounds is suggested. It consist of setting up and solving a system of 2n nonlinear equations with 2n unknowns. The latter system is only mildly nonlinear and its solution presents no numerical difficulties. An example illustrating the applicability of the method suggested is provided.
Description:
Kolev, Ljubomir Varadinov et al. Outer bounds on the eingenvalues of interval matrices – the complex eingenvalues case / Lubomir Kolev, Simona Filipova-Petrakieva; Рец. Симеон Владов. (Electronics and Automatics). // Годишник на ТУ-София, Том 51, 2000-2001, с. 139-147 : с формули
