\(H_\infty\) control of singular Markovian jump systems with bounded transition probabilities
type: Item
instance of: scholarly article
title: \(H_\infty\) control of singular Markovian jump systems with bounded transition probabilities
zbMATH Open document ID: 1299.93070
DOI: 10.1155/2013/495194
author: Hongsheng Lin
author: Guoliang Wang
author: Ying Li
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: Summary: This paper discusses \(H_\infty\) control problems of continuous-time and discrete-time singular Markovian jump systems (SMJSs) with bounded transition probabilities. Improved sufficient conditions for continuous-time SMJSs to be regular, impulse free, and stochastically stable with \(H_\infty\)-disturbance attenuation are established via less conservative inequality to estimate the transition jump rates, so are the discrete-time SMJSs. With the obtained conditions, the design of a state feedback controller which ensures the resulting closed-loop system to be stochastically admissible and with \(H_\infty\) performance is given in terms of linear matrix inequalities (LMIs). Finally, illustrative examples are presented to show the effectiveness and the benefits of the proposed approaches.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93E20
zbMATH DE Number: 6372407
Wikidata QID: Q59028107
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/495194
OpenAlex ID: W2056521143
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description: scientific article; zbMATH DE number 6372407