Dissipative delay-feedback control for nonlinear stochastic systems with time-varying delay
type: Item
instance of: scholarly article
title: Dissipative delay-feedback control for nonlinear stochastic systems with time-varying delay
zbMATH Open document ID: 1407.93411
DOI: 10.1155/2014/249860
author: Guici Chen
author: Yongchuan Zhang
author: Jianzhong Zhou
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The dissipative delay-feedback control problems for nonlinear stochastic delay systems (NSDSs) based on dissipativity analysis are studied in this paper. Based on the Lyapunov stability theory and stochastic analysis technique, both delay-independent and delay-dependent dissipativity criteria are established as linear matrix inequalities- (LMIs-) based feasibility tests. The obtained results in this paper for the nominal systems include the available results on \(H_{\infty}\) approach and passivity for stochastic delay systems as special cases. The delay-dependent feedback controller is designed by considering the relationship among the time-varying delay, its lower and upper bound, and its differential without ignoring any terms, which effectively reduces the conservative. A numerical example is given to illustrate the theoretical developments.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 7015992
Wikidata QID: Q59065056
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/249860
OpenAlex ID: W2149633071
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description: scientific article; zbMATH DE number 7015992