Stability analysis for Markovian jump neutral systems with mixed delays and partially known transition rates
type: Item
instance of: scholarly article
title: Stability analysis for Markovian jump neutral systems with mixed delays and partially known transition rates
zbMATH Open document ID: 1253.93101
DOI: 10.1155/2012/450168
author: Xiaobing Zhou
author: Jie Qiu
author: Jing Lei
author: Lianglin Xiong
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: The delay-dependent stability problem is studied for Markovian jump neutral systems with partial information on transition probabilities, and the considered delays are mixed and model dependent. By constructing the new stochastic Lyapunov-Krasovskii functional, which combined the introduced free matrices with the analysis technique of matrix inequalities, a sufficient condition for the systems with fully known transition rates is firstly established. Then, making full use of the transition rate matrix, the results are obtained for the other case, and the uncertain neutral Markovian jump system with incomplete transition rates is also considered. Finally, to show the validity of the obtained results, three numerical examples are provided.
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93E20
zbMATH DE Number: 6116401
zbMATH Keywords: stochastic Lyapunov-Krasovskii functional
Wikidata QID: Q58695174
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/450168
OpenAlex ID: W2108111683
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description: scientific article; zbMATH DE number 6116401