Delay-dependent \(H_\infty\) control for descriptor Markovian jump systems with time-varying delay
type: Item
instance of: scholarly article
title: Delay-dependent \(H_\infty\) control for descriptor Markovian jump systems with time-varying delay
zbMATH Open document ID: 1397.93065
DOI: 10.1155/2013/545636
author: Ding Zhai
author: Yi Zhang
author: Jing-Hao Li
author: Qingling Zhang
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: This paper is concerned with the delay-dependent \(H_\infty\) control problem for continuous-time descriptor Markovian jump systems with time-varying delay. By constructing various Lyapunov-Krasovskii functionals for different subsystems, together with delay decomposition method, a new delay-dependent bounded real lemma (BRL) is derived, under which descriptor Markovian jump time-delay systems are regular, impulse-free, and stochastically stable and satisfy a prescribed \(H_\infty\) performance level. Since the reciprocally convex combination approach is adopted to estimate the upper bound of the integral terms, the BRL obtained in this paper is less conservative than some existing ones. Based on the proposed BRL, a sufficient condition for the existence of state feedback controller is provided. Finally, three numerical examples are provided to demonstrate the validity of the proposed methods.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 60J75
Mathematics Subject Classification ID: 93D30
zbMATH DE Number: 6950740
Wikidata QID: Q59002953
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/545636
OpenAlex ID: W1998041739
DBLP publication ID: journals/jam/LiZZZ13
description: scientific article; zbMATH DE number 6950740