Further results on diagonally invariant exponential stability of switching linear systems
type: Item
instance of: scholarly article
title: Further results on diagonally invariant exponential stability of switching linear systems
zbMATH Open document ID: 1427.93208
DOI: 10.1155/2018/9419514
author: Mihaela-Hanako Matcovschi
author: Octavian Pastravanu
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The concept of \textit{diagonally invariant exponential stability} (DIES) was originally introduced for single-model linear systems and subsequently expanded in the study of linear systems with interval-type uncertainties and linear systems with arbitrary switching. The results presented in this article refer to new approaches to DIES characterization for arbitrary switching systems, which exploit mathematical tools completely different from earlier work. The previous papers are based on the properties of matrix norms and measures applied to the constituent matrices defining the switching system, while the present paper uses the eigenvalues and eigenvectors of the column and row representatives built for a set of matrices derived from the constituent matrices of the switching system. The applicability of previous and new results, respectively, is illustrated by case studies (in both continuous- and discrete-time) that lead to relevant comparisons between the two classes of analysis methods.
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 7019759
describes a project that uses: CVX
MaRDI profile type: Publication
Wikidata QID: Q115521941
full work available at URL: https://doi.org/10.1155/2018/9419514
OpenAlex ID: W2884679094
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description: scientific article; zbMATH DE number 7019759