Filtering-based fault detection for stochastic Markovian jump system with distributed time-varying delays and mixed modes
type: Item
instance of: scholarly article
title: Filtering-based fault detection for stochastic Markovian jump system with distributed time-varying delays and mixed modes
zbMATH Open document ID: 1300.93154
DOI: 10.1155/2012/524271
author: Hong Zhu
author: Yucai Ding
author: Shouming Zhong
author: Yuping Zhang
author: Jianwei Xia
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: The problem of fault detection for stochastic Markovian jump system is considered. The system under consideration involves discrete and distributed time-varying delays, Itô-type stochastic disturbance, and different system and delay modes. The aim of this paper is to design a fault detection filter such that the fault detection system is stochastically stable and satisfies a prescribed \(H_\infty\) disturbance attenuation level. By using a novel Lyapunov functional, a mix-mode-dependent sufficient condition is formulated in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed main results.
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 94C12
zbMATH DE Number: 6169932
zbMATH Keywords: stochastic Markovian jump system
zbMATH Keywords: Itô-type stochastic disturbance
zbMATH Keywords: fault detection system
zbMATH Keywords: stochastic stability
Wikidata QID: Q58906062
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/524271
OpenAlex ID: W2096550530
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description: scientific article; zbMATH DE number 6169932