New Criteria of Robust H<inf>∞</inf> Stability for Fuzzy Mixed-Delay Systems with Nonlinear Noise Disturbances

Cao, Y; Zeng, Z; Huang, T; Wen, S

New Criteria of Robust H<inf>∞</inf> Stability for Fuzzy Mixed-Delay Systems with Nonlinear Noise Disturbances

Cao, Y Zeng, Z Huang, T Wen, S

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Publisher:: SPRINGER BIRKHAUSER
Publication Type:: Journal Article
Citation:: Circuits, Systems, and Signal Processing, 2016, 35, (8), pp. 2810-2831
Issue Date:: 2016-08-01

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Field	Value	Language
dc.contributor.author	Cao, Y
dc.contributor.author	Zeng, Z
dc.contributor.author	Huang, T
dc.contributor.author	Wen, S https://orcid.org/0000-0001-8077-7001
dc.date.accessioned	2022-08-15T00:53:58Z
dc.date.available	2022-08-15T00:53:58Z
dc.date.issued	2016-08-01
dc.identifier.citation	Circuits, Systems, and Signal Processing, 2016, 35, (8), pp. 2810-2831
dc.identifier.issn	0278-081X
dc.identifier.issn	1531-5878
dc.identifier.uri	http://hdl.handle.net/10453/160164
dc.description.abstract	This paper investigates new criteria of the robust H∞ stability for a class of uncertain stochastic fuzzy mixed-delay systems with nonlinear noise disturbances by employing an improved free-weighting matrix approach. The fuzzy system is based on the Takagi–Sugeno model that is often used to represent the complex nonlinear systems in terms of fuzzy sets and fuzzy reasoning. To reflect more realistic dynamical behaviors of the system, both the parameter uncertainties and stochastic disturbances are considered, the stochastic disturbances are given in the form of a Brownian motion. The mixed delays comprise both discrete and distributed time-varying delays. In terms of a stochastic fuzzy Lyapunov functional, a sufficient criterion is proposed to investigate dynamical behaviors of the system in the mean-square sense with an H∞ performance index.
dc.language	English
dc.publisher	SPRINGER BIRKHAUSER
dc.relation	National Natural Science Foundation of China61403152
dc.relation.ispartof	Circuits, Systems, and Signal Processing
dc.relation.isbasedon	10.1007/s00034-015-0185-3
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0102 Applied Mathematics, 0906 Electrical and Electronic Engineering
dc.subject.classification	Industrial Engineering & Automation
dc.title	New Criteria of Robust H<inf>∞</inf> Stability for Fuzzy Mixed-Delay Systems with Nonlinear Noise Disturbances
dc.type	Journal Article
utslib.citation.volume	35
utslib.for	0102 Applied Mathematics
utslib.for	0906 Electrical and Electronic Engineering
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - AAII - Australian Artificial Intelligence Institute
utslib.copyright.status	closed_access	*
dc.date.updated	2022-08-15T00:53:57Z
pubs.issue	8
pubs.publication-status	Published
pubs.volume	35
utslib.citation.issue	8

Abstract:

This paper investigates new criteria of the robust H∞ stability for a class of uncertain stochastic fuzzy mixed-delay systems with nonlinear noise disturbances by employing an improved free-weighting matrix approach. The fuzzy system is based on the Takagi–Sugeno model that is often used to represent the complex nonlinear systems in terms of fuzzy sets and fuzzy reasoning. To reflect more realistic dynamical behaviors of the system, both the parameter uncertainties and stochastic disturbances are considered, the stochastic disturbances are given in the form of a Brownian motion. The mixed delays comprise both discrete and distributed time-varying delays. In terms of a stochastic fuzzy Lyapunov functional, a sufficient criterion is proposed to investigate dynamical behaviors of the system in the mean-square sense with an H∞ performance index.

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http://hdl.handle.net/10453/160164