Delay-dependent robust exponential stability for uncertain neutral stochastic systems with interval time-varying delay
type: Item
instance of: scholarly article
title: Delay-dependent robust exponential stability for uncertain neutral stochastic systems with interval time-varying delay
zbMATH Open document ID: 1251.93097
DOI: 10.1155/2012/593780
author: Weihua Mao
author: Anhua Wan
author: Feiqi Deng
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: This paper discusses the mean-square exponential stability of uncertain neutral linear stochastic systems with interval time-varying delays. A new augmented Lyapunov-Krasovskii functional (LKF) has been constructed to derive improved delay-dependent robust mean-square exponential stability criteria, which are forms of linear matrix inequalities (LMIs). By free-weight matrices method, the usual restriction that the stability conditions only bear slow-varying derivative of the delay is removed. Finally, numerical examples are provided to illustrate the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93E20
zbMATH DE Number: 6106259
Wikidata QID: Q58906206
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/593780
OpenAlex ID: W2083411012
cites work: Effects of unsteady deformation of flapping wing on its aerodynamic forces
cites work: Delay-Dependent Exponential Stability of Neutral Stochastic Delay Systems
cites work: Delay-Dependent Stochastic Stability and $H_{\infty} $-Control of Uncertain Neutral Stochastic Systems With Time Delay
cites work: Global robust stability for stochastic interval neural networks with continuously distributed delays of neutral type
cites work: A new result on stability analysis for stochastic neutral systems
cites work: Robust \(H_{\infty }\)-filter design for neutral stochastic uncertain systems with time-varying delay
cites work: Delay-dependent exponential stability of uncertain stochastic systems with multiple delays: an LMI approach
cites work: Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay
cites work: Delay-range-dependent stability for systems with time-varying delay
cites work: Q3572234
cites work: Network-based robust \(H_{\infty}\) control of systems with uncertainty
cites work: Delay-dependent robust stability for uncertain linear systems with interval time-varying delay
cites work: Delay-dependent robust stability criteria of uncertain stochastic systems with time-varying delay
cites work: Improved delay-dependent stability criteria for systems with a delay varying in a range
cites work: Further results on mean square exponential stability of uncertain stochastic delayed neural networks
cites work: <tex>$H_infty$</tex>Control of Linear Uncertain Time-Delay Systems—A Projection Approach
cites work: Delay-dependent stability and H ∞ control: Constant and time-varying delays
cites work: On delay-dependent stability for vector nonlinear stochastic delay-difference equations with Volterra diffusion term
cites work: On delay-dependent stability for a class of nonlinear stochastic systems with multiple state delays
cites work: A Delay-Dependent Approach to Robust&lt;tex&gt;$H_infty$&lt;/tex&gt;Filtering for Uncertain Discrete-Time State-Delayed Systems
cites work: Stability analysis of a class of stochastic differential delay equations with nonlinear impulsive effects
cites work: Stability of impulsive stochastic differential delay systems and its application to impulsive stochastic neural networks
cites work: Discretized Lyapunov functional for systems with distributed delay and piecewise constant coefficients
cites work: Introduction to functional differential equations
cites work: Deterministic and stochastic time delay systems
cites work: Q4229393
cites work: Robust H∞ control for uncertain stochastic systems with state delay
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description: scientific article; zbMATH DE number 6106259