LMI approach to robust \(\mathcal H_{\infty}\) filtering for neutral delay differential systems.

DOI10.1016/S0096-3003(03)00223-6zbMath1040.93067OpenAlexW2133928009MaRDI QIDQ1428196

D. Massart

Publication date: 14 March 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00223-6

zbMATH Keywords

stabilitylinear matrix inequalitiesneutral systems\(H_\infty\) filteringLyapunov theory

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Linear inequalities of matrices (15A39) Control/observation systems governed by functional-differential equations (93C23) Stochastic stability in control theory (93E15) Neutral functional-differential equations (34K40)

Related Items (16)

Unbiased \(H_\infty \) filtering for neutral Markov jump systems ⋮ Delay-dependent H-infinity filtering for neutral time-delay systems ⋮ Filtering for a class of discrete-time systems with time-delays via delta operator approach ⋮ Observer-based robust passive control for a class of uncertain neutral systems: an integral sliding mode approach ⋮ A note on asymptotic stability of an interval neutral delay-differential system ⋮ On exponential stabilization for a class of neutral-type systems with parameter uncertainties: an integral sliding mode approach ⋮ Robust \(H\)-infinity control for a class of neutral-type systems via sliding mode observer ⋮ Design of robustH_∞filters for a class of uncertain nonlinear neutral stochastic systems with time delays ⋮ \(H_{\infty}\) observer-based control for a class of uncertain neutral time-delay systems via LMI optimization approach ⋮ \(H_\infty \) control for nonlinear time-varying delay systems with convex polytopic uncertainties ⋮ Robust \(H_\infty\) output dynamic observer-based control design of uncertain neutral systems ⋮ New delay-dependent non-fragile \(H_\infty\) observer-based control for continuous time-delay systems ⋮ Delay-dependent nonfragile \(H_{\infty}\) observer-based control for neutral systems with time delays in the state and control input ⋮ New results onH_∞filtering for nonlinear large-scale systems with interconnected time-varying delays ⋮ Novel delay-dependent Kalman/Luenberger-type filter design for neutral systems ⋮ H∞ control for linear descriptor systems with non-differentiable delays in both state and observation

Uses Software

• LMI toolbox

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Introduction to functional differential equations
• The asymptotic stability of one-parameter methods for neutral differential equations
• Some simple criteria for stability of neutral delay-differential systems
• Discrete-time systems with linear parameter-varying: Stability and \({\mathcal H}_\infty\)-filtering
• Asymptotic stability of neutral systems with multiple delays
• Stability of linear neutral delay-differential systems
• Linear Matrix Inequalities in System and Control Theory
• Robust ℋ/sub ∞/ filtering for uncertain discrete-time state-delayed systems
• A note on stability of neutral delay-differential systems

This page was built for publication: LMI approach to robust \(\mathcal H_{\infty}\) filtering for neutral delay differential systems.