New delay-dependent stability criteria of uncertain linear systems with multiple time-varying state delays
type: Item
instance of: scholarly article
title: New delay-dependent stability criteria of uncertain linear systems with multiple time-varying state delays
zbMATH Open document ID: 1156.34059
author: Huaicheng Yan
author: Xinhan Huang
author: Min Wang
author: Hao Zhang
published in: Chaos, Solitons and Fractals
publication date: 2008-06-12T00:00:00Z
review text: The authors consider delay-dependent stability of linear systems with time-varying structured uncertainties and multiple time varying state delays. Employing the Lyapunov stability theory and linear matrix inequalities (LMIs), they establish new stability criteria which are less conservative and generalize existing results. Numerical calculations to illustrate the usefulness of the new criteria are given.
reviewed by: Olusola Akinyele
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K06
zbMATH DE Number: 5288038
zbMATH Keywords: delay-dependent robust stability
zbMATH Keywords: linear systems
zbMATH Keywords: time varying structured uncertainties
zbMATH Keywords: Leibniz-Newton formula
zbMATH Keywords: linear matrix inequalities and Lyapunov stability
MaRDI profile type: Publication
full work available at URL: j.chaos.2006.08.040
OpenAlex ID: W2090464164
cites work: Static output feedback controllers for continuous-time and discrete-time systems with input non-linearities
cites work: Robust stabilization for dynamic systems with multiple time-varying delays and nonlinear uncertainties
cites work: Further results on delay-dependent robust stability of uncertain fuzzy systems with time-varying delay
cites work: Delay-dependent stability criteria for time-delay chaotic systems via time-delay feedback control
cites work: LMI-based approach for delay-dependent exponential stability analysis of BAM neural networks
cites work: Further results on the robust stability of linear systems with a single time delay
cites work: Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty
cites work: An improvement on "Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty"
cites work: A delay-dependent stability criterion for systems with uncertain time-invariant delays
cites work: New bounded real lemma representations for time-delay systems and their applications
cites work: Robust stability of delay dependence for linear uncertain systems
cites work: Comments on "Robust stability of delay dependence for linear uncertain systems"
cites work: Delay-dependent robust stabilization of uncertain systems with multiple state delays
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: Delay-dependent robust stabilization of uncertain state-delayed systems
cites work: Delay-dependent robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality approach
cites work: On improved delay-dependent robust stability criteria for uncertain systems with multiple-state delays
cites work: Delay-dependent criteria for robust stability of time-varying delay systems
cites work: On Improved Delay-Dependent Robust Control for Uncertain Time-Delay Systems
cites work: Delay-dependent stability criteria for coupled chaotic systems via unidirectional linear error feedback approach
cites work: Delay-dependent stability of uncertain fuzzy large-scale systems with time delays
cites work: Delay-dependent exponential stability analysis of bi-directional associative memory neural networks with time delay: an LMI approach
cites work: Delay-dependent exponential stability of cellular neural networks with time-varying delays
cites work: Delay-dependent asymptotic stability of a two-neuron system with different time delays
cites work: New stability criterion of uncertain systems with time-varying delay
DOI: 10.1016/J.CHAOS.2006.08.040
description: scientific article; zbMATH DE number 5288038