Dissipativity analysis of descriptor systems using image space characterization
type: Item
instance of: scholarly article
title: Dissipativity analysis of descriptor systems using image space characterization
zbMATH Open document ID: 1407.93314
DOI: 10.1155/2014/639168
author: Liang Qiao
author: Wanquan Liu
author: Qingling Zhang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: In this paper, we analyze the dissipativity for descriptor systems with impulsive behavior based on image space analysis. First, a new image space is used to characterize state responses for descriptor systems. Based on such characterization and an integral property of delta function, a new necessary and sufficient condition for the dissipativity of descriptor systems is derived using the linear matrix inequality (LMI) approach. Also, some of the earlier related results on dissipativity for linear systems are investigated in the framework proposed in this paper. Finally, two examples are given to show the validity of the derived results.
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 7016919
Wikidata QID: Q59068497
describes a project that uses: SeDuMi
describes a project that uses: YALMIP
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/639168
OpenAlex ID: W2163535925
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description: scientific article; zbMATH DE number 7016919