Finite-time \(H_{\infty}\) filtering for singular stochastic Markovian jump systems with time-varying delays
type: Item
instance of: scholarly article
title: Finite-time \(H_{\infty}\) filtering for singular stochastic Markovian jump systems with time-varying delays
zbMATH Open document ID: 1394.93334
DOI: 10.1155/2015/567394
author: Y. Aharonov
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The issue of finite-time \(H_{\infty}\) filtering for singular stochastic Markovian jump systems with time-varying delays is concerned in this paper. \(H_{\infty}\) filtering is designed for underlying closed-loop singular Markovian jump system and system state does not exceed a given bound over some finite-time interval. Considering the full information of underlying Markov process, sufficient conditions are obtained to guarantee that the described system is finite-time stability and \(H_{\infty}\) filtering finite-time boundedness. By establishing the results of stochastic character and finite-time boundedness, the closed-loop singular Markovian jump system trajectory stays within the given bound. At last, a numerical example is supplied to show the efficiency of the proposed method.
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 6926661
MaRDI profile type: Publication
Wikidata QID: Q59119347
full work available at URL: https://doi.org/10.1155/2015/567394
OpenAlex ID: W1675774116
cites work: A New Approach to the H∞ Design of Optimal Digital Linear Filters
cites work: \(H_\infty \) filtering for nonlinear discrete-time stochastic systems with randomly varying sensor delays
cites work: Unbiased \(H_\infty \) filtering for neutral Markov jump systems
cites work: Network-based robust \(H_{\infty}\) control of systems with uncertainty
cites work: Delay-Dependent <formula formulatype="inline"><tex>$H_{\infty }$</tex> </formula> Control and Filtering for Uncertain Markovian Jump Systems With Time-Varying Delays
cites work: Global robust passivity analysis for stochastic interval neural networks with interval time-varying delays and Markovian jumping parameters
cites work: Design of reduced-order \(H_{\infty}\) filtering for Markovian jump systems with mode-dependent time delays
cites work: Bayesian signal detection with compressed measurements
cites work: Partially mode-dependent \(H_{\infty }\) filtering for discrete-time Markovian jump systems with partly unknown transition probabilities
cites work: Singular control systems
cites work: Exponential stability of singular systems with multiple time-varying delays
cites work: Reduced-order \(H_{\infty}\) filtering for singular systems
cites work: H ∞ filtering for singular systems with time-varying delay
cites work: Finite-time control of linear systems subject to parametric uncertainties and disturbances
cites work: Finite-time \(H_\infty\) estimation for discrete-time Markov jump systems with time-varying transition probabilities subject to average Dwell time switching
cites work: Robust finite-time stabilization of uncertain singular Markovian jump systems
cites work: Finite-time stability of linear time-varying systems with jumps
cites work: Finite-time filtering for switched linear systems with a mode-dependent average dwell time
cites work: Stochastic finite-time boundedness of Markovian jumping neural network with uncertain transition probabilities
description: scientific article; zbMATH DE number 6926661