Further results on stability analysis for Markovian jump systems with time-varying delays
type: Item
instance of: scholarly article
title: Further results on stability analysis for Markovian jump systems with time-varying delays
zbMATH Open document ID: 1394.93345
DOI: 10.1155/2015/148565
author: Y. Aharonov
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper is concerned with the problem of stability analysis for Markovian jump systems with time-varying delays. By constructing a newly augmented Lyapunov-Krasovskii functional and combining Wirtinger-based integral inequality, an improved delay-dependent stability criterion within the framework of linear matrix inequalities (LMIs) is introduced. Based on the result of delay-dependent stability criterion, when linear systems have fast time-varying delays, a corresponding stability condition is given. Via three numerical examples, the improvements of the proposed criteria are shown by comparing maximum delay bounds provided by our theorems with the recent results.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K50
zbMATH DE Number: 6925585
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/148565
OpenAlex ID: W2095784982
Wikidata QID: Q59117385
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description: scientific article; zbMATH DE number 6925585