Further results on stability analysis of discrete-time Markov jump linear systems with time-varying delay and partly known transition probabilities
type: Item
instance of: scholarly article
title: Further results on stability analysis of discrete-time Markov jump linear systems with time-varying delay and partly known transition probabilities
zbMATH Open document ID: 1394.93353
DOI: 10.1155/2015/524584
author: Yiwen Zhao
author: Xin-Gang Zhao
author: Jianda Han
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper is concerned with the stability analysis of discrete-time Markov jump linear systems (MJLSs) with time-varying delay and partly known transition probabilities. The time delay is varying between lower and upper bounds, and the partly known transition probabilities cover the cases of known, uncertain with known lower and upper bounds, and completely unknown, which is more general than the existing result. Via constructing an appropriate Lyapunov function and employing a new technique to separate Lyapunov variables from unknown transition probabilities, a novel stability criterion is obtained in the framework of linear matrix inequality. A numerical example is given to show the effectiveness of the proposed approach.
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 6926568
Wikidata QID: Q59118858
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/524584
OpenAlex ID: W2009005494
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description: scientific article; zbMATH DE number 6926568