Robust finite-time \(H_\infty\) control for nonlinear Markovian jump systems with time delay under partially known transition probabilities
type: Item
instance of: scholarly article
title: Robust finite-time \(H_\infty\) control for nonlinear Markovian jump systems with time delay under partially known transition probabilities
zbMATH Open document ID: 1406.93114
DOI: 10.1155/2014/938781
author: Xianqiang Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper is concerned with the problem of robust finite-time \(H_\infty\) control for a class of nonlinear Markovian jump systems with time delay under partially known transition probabilities. Firstly, for the nominal nonlinear Markovian jump systems, sufficient conditions are proposed to ensure finite-time boundedness, \(H_\infty\) finite-time boundedness, and finite-time \(H_\infty\) state feedback stabilization, respectively. Then, a robust finite-time \(H_\infty\) state feedback controller is designed, which, for all admissible uncertainties, guarantees the \(H_\infty\) finite-time boundedness of the corresponding closed-loop system. All the conditions are presented in terms of strict linear matrix inequalities. Finally a numerical example is provided to demonstrate the effectiveness of all the results.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 7023353
zbMATH Keywords: robust finite-time \(H_\infty\) control
zbMATH Keywords: nonlinear Markovian jump systems
zbMATH Keywords: \(H_\infty\) state feedback stabilization
Wikidata QID: Q59042978
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/938781
OpenAlex ID: W2073921629
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description: scientific article; zbMATH DE number 7023353