Finite-time boundedness control for nonlinear networked systems with randomly occurring multi-distributed delays and missing measurements
type: Item
instance of: scholarly article
title: Finite-time boundedness control for nonlinear networked systems with randomly occurring multi-distributed delays and missing measurements
zbMATH Open document ID: 1427.93260
DOI: 10.1155/2018/5109646
author: Ling Hou
author: Dongyan Chen
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper investigates the stochastic finite-time \(H_{\infty}\) boundedness problem for nonlinear discrete time networked systems with randomly occurring multi-distributed delays and missing measurements. The randomly occurring multi-distributed delays and missing measurements are described as Bernoulli distributed white noise sequence. The goal of this paper is to design a full-order output-feedback controller to guarantee that the corresponding closed-loop system is stochastic finite-time \(H_{\infty}\) bounded and with desired \(H_{\infty}\) performance. By constructing a new Lyapunov-Krasovskii functional, sufficient conditions for the existence of output-feedback are established. The desired full-order output-feedback controller is designed in terms of the solution to linear matrix inequalities (LMIs). Finally, a numerical example is provided to show the validity of the designed method.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 7019078
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5109646
OpenAlex ID: W2905140924
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Wikidata QID: Q128786047
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description: scientific article; zbMATH DE number 7019078