LMI approach to robust \(\mathcal H_{\infty}\) filtering for neutral delay differential systems.
type: Item
instance of: scholarly article
title: LMI approach to robust \(\mathcal H_{\infty}\) filtering for neutral delay differential systems.
zbMATH Open document ID: 1040.93067
DOI: 10.1016/S0096-3003(03)00223-6
author: D. Massart
published in: Applied Mathematics and Computation
publication date: 2004-03-14T00:00:00Z
review text: The authors consider a class of linear neutral delay-differential systems. Using the Lyapunov functional technique combined with a linear matrix inequality (LMI) technique, they develop a robust \(H_\infty\) filter for this system, which makes the closed-loop system asymptotically stable and the bound of \(H_\infty\) norm minimized. A stability criterion and the existence of the filter are derived in terms of LMIs, and their solutions provide a parametrized representation of the filter. It is emphasized that such LMIs can be easily solved by various efficient convex optimization algorithms. Finally, a numerical example is given to illustrate the proposed design method.
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 93C23
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 15A39
zbMATH DE Number: 2056342
zbMATH Keywords: neutral systems
zbMATH Keywords: \(H_\infty\) filtering
zbMATH Keywords: Lyapunov theory
zbMATH Keywords: linear matrix inequalities
zbMATH Keywords: stability
reviewed by: Yuliya S. Mishura
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
cites work: Introduction to functional differential equations
cites work: Q4229393
cites work: Q3338046
cites work: Q3828361
cites work: The asymptotic stability of one-parameter methods for neutral differential equations
cites work: Stability of linear neutral delay-differential systems
cites work: Some simple criteria for stability of neutral delay-differential systems
cites work: A note on stability of neutral delay-differential systems
cites work: Asymptotic stability of neutral systems with multiple delays
cites work: Discrete-time systems with linear parameter-varying: Stability and \({\mathcal H}_\infty\)-filtering
cites work: Robust ℋ/sub ∞/ filtering for uncertain discrete-time state-delayed systems
cites work: Linear Matrix Inequalities in System and Control Theory
full work available at URL: s0096-3003(03)00223-6
OpenAlex ID: W2133928009
Recommended article: An LMI approach to robust \(H_\infty\) filtering for uncertain systems with time-varying distributed delays
Recommended article: Q5368584
Recommended article: Q3403465
Recommended article: An Improved Delay-Dependent&lt;tex&gt;$H_infty$&lt;/tex&gt;Filtering of Linear Neutral Systems
Recommended article: LMI-based robust \(H_\infty\) control of uncertain neutral systems with state and input delays
Recommended article: Delay-dependent robust \(H_\infty\) filtering for uncertain neutral stochastic time-delay systems
Recommended article: Design of robust H\(_\infty\) filter for a class of neutral systems: LMI optimization approach
Recommended article: \(H_\infty \) filtering for linear neutral systems with mixed time-varying delays and nonlinear perturbations
Recommended article: Q5384928
Recommended article: Robust \(H_{\infty }\)-filter design for neutral stochastic uncertain systems with time-varying delay
description: scientific article; zbMATH DE number 2056342