Delay-dependent robust \(H_\infty\) performance for uncertain neutral systems with mixed time-varying delays and nonlinear perturbations
type: Item
instance of: scholarly article
title: Delay-dependent robust \(H_\infty\) performance for uncertain neutral systems with mixed time-varying delays and nonlinear perturbations
zbMATH Open document ID: 1427.93096
DOI: 10.1155/2018/5721695
author: Peerapongpat Singkibud
author: Luu Thi Hiep
author: T. Botmart
author: Kanit Mukdasai
author: P. Niamsup
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper deals with the problems of delay-dependent stability and \(H_{\infty}\) performance for uncertain neutral systems with time-varying delays, and nonlinear perturbations. The time-varying delays are neutral, discrete, and distributed time-varying delays that the upper bounds for the delays are available. The restrictions on the derivatives of the discrete and distributed time-varying delays are removed, which mean that a fast discrete time-varying delay is allowed. The uncertainties under consideration are nonlinear time-varying parameter perturbations and norm-bounded uncertainties, respectively. Firstly, by applying a novel Lyapunov-Krasovskii functional approach, Wirtinger-based integral inequality, Peng-Park's integral inequality, decomposition technique of constant matrix, descriptor model transformation, Leibniz Newton formula and utilization of zero equation, and improved delay-dependent bounded real lemmas (BRL) for systems are established in terms of linear matrix inequalities (LMIs). Then, based on the obtained BRL, some less conservative delay-dependent stability criteria of uncertain neutral systems with mixed time-varying delays and nonlinear perturbations are obtained and improved \(H_{\infty}\) performance criterion with the framework of LMIs is introduced. Finally, some numerical examples are given to illustrate that the presented method is effective.
Mathematics Subject Classification ID: 93C23
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 7019172
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5721695
OpenAlex ID: W2896189816
cites work: Time-delay systems: an overview of some recent advances and open problems.
cites work: Controllability of Boolean control networks under asynchronous stochastic update with time delay
cites work: On robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainty
cites work: A note on asymptotic stability of an interval neutral delay-differential system
cites work: On \(H_{\infty}\) control for linear systems with interval time-varying delay
cites work: Improved approach to robust stability and \(\mathcal H_\infty\) performance analysis for systems with an interval time-varying delay
cites work: Analysis on robust image performance and stability for linear systems with interval time-varying state delays via some new augmented Lyapunov-Krasovskii functional
cites work: Delay differential equations: with applications in population dynamics
cites work: Bifurcation of periodic solutions in a nonlinear difference-differential equations of neutral type
cites work: Delay effects on stability. A robust control approach
cites work: Q6104606
cites work: Q6104618
cites work: Q6162335
cites work: Q6104609
cites work: Q6104567
cites work: Delay-interval-dependent robust-stability criteria for neutral stochastic neural networks with polytopic and linear fractional uncertainties
cites work: Improved robust stability conditions for uncertain neutral systems with discrete and distributed delays
cites work: Novel delay-dependent robust stability criteria for neutral systems with mixed time-varying delays and nonlinear perturbations
cites work: Improved stability conditions for uncertain neutral-type systems with time-varying delays
cites work: Delay-dependent robust \(H_\infty\) control for uncertain systems with time-varying delay
cites work: Wirtinger-based integral inequality: application to time-delay systems
cites work: An improved result on the stability of uncertain T-S fuzzy systems with interval time-varying delay
cites work: Reciprocally convex approach to stability of systems with time-varying delays
cites work: Q6162374
cites work: On delay-dependent robust stability of uncertain neutral systems with interval time-varying delays
cites work: Improved delay-dependent exponential stability criteria for neutral-delay systems with nonlinear uncertainties
cites work: Delay-derivative-dependent stability for neutral systems with time-varying delay and nonlinearity
cites work: Improved results on robust stability of neutral systems with mixed time-varying delays and nonlinear perturbations
description: scientific article; zbMATH DE number 7019172