\(H_{\infty }\) filtering for a class of piecewise homogeneous Markovian jump nonlinear systems
type: Item
instance of: scholarly article
title: \(H_{\infty }\) filtering for a class of piecewise homogeneous Markovian jump nonlinear systems
zbMATH Open document ID: 1264.93049
DOI: 10.1155/2012/716474
author: Hong Zhu
author: Yong Zeng
author: Yucai Ding
author: Shouming Zhong
author: Yuping Zhang
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: \(H_{\infty}\) filtering problem for a class of piecewise homogeneous Markovian jump nonlinear systems is investigated. The aim of this paper is to design a mode-dependent filter such that the filtering error system is stochastically stable and satisfies a prescribed \(H_{\infty}\) disturbance attenuation level. By using a new mode-dependent Lyapunov-Krasovskii functional, mixed mode-dependent sufficient conditions on stochastic stability are formulated in terms of linear matrix inequalities (LMIs). Based on this, the mode-dependent filter is obtained. A numerical example is given to illustrate the effectiveness of the proposed main results.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 6173511
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/716474
OpenAlex ID: W2152872510
Wikidata QID: Q58911626
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description: scientific article; zbMATH DE number 6173511