Robust stabilization of linear systems with delayed state and control

DOI10.1007/s10957-008-9453-8zbMath1159.93027OpenAlexW2152919559MaRDI QIDQ1016400

Vu Ngoc Phat

Publication date: 5 May 2009

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-008-9453-8

zbMATH Keywords

stabilizationrobust controllinear matrix inequalityuncertaintiesLyapunov functionaldelayed state and control

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Linear systems in control theory (93C05) Adaptive or robust stabilization (93D21) Robust stability (93D09) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (15)

Controllability conditions of linear singularly perturbed systems with small state and input delays ⋮ Exponential stability criterion for time-delay systems with nonlinear uncertainties ⋮ A robust resilient multi-objective delay-dependent tracker for nonlinear time-delay systems ⋮ Exponential convergence of time-delay systems in the presence of bounded disturbances ⋮ Parameter-dependent \(H_{\infty}\) control for time-varying delay polytopic systems ⋮ Optimal guaranteed cost control of linear systems with mixed interval time-varying delayed state and control ⋮ Robust stability criteria for uncertain neutral systems with interval time-varying delay ⋮ Delay-dependent robust stabilization and \(H_{\infty }\) control for nonlinear stochastic systems with Markovian jump parameters and interval time-varying delays ⋮ Novel delay-dependent \(\mathcal H _ \infty\) stabilization criterion for Lur'e systems with sector-restricted nonlinearities and external disturbances via PD feedback approach ⋮ Switched controller design for stabilization of nonlinear hybrid systems with time-varying delays in state and control ⋮ Robust stability and control for uncertain neutral time delay systems ⋮ Robust finite-time stability of discrete time systems with interval time-varying delay and nonlinear perturbations ⋮ Exponential stabilization for a class of hybrid systems with mixed delays in state and control ⋮ An improved delay-dependent criterion for asymptotic stability of uncertain dynamic systems with time-varying delays ⋮ Stability and stabilization of one class of three time-scale systems with delays

Uses Software

• LMI toolbox

Cites Work

• Network-based robust \(H_{\infty}\) control of systems with uncertainty
• On improved robust stabilization of uncertain systems with unknown input delay
• Stabilization of linear nonautonomous systems with norm-bounded controls
• Stability and time-optimal control of hereditary systems
• Bounded controllers for robust exponential convergence
• Time-delay systems: an overview of some recent advances and open problems.
• Robust stabilization of uncertain systems with unknown input delay.
• Robust stabilization of uncertain systems with delays in control input: a matrix inequality approach
• Global stabilization for linear continuous time-varying systems
• Delay-dependent stabilization of linear systems with time-varying state and input delays
• Feedback stabilization of linear systems with delayed control
• Linear systems with delayed controls: A reduction
• Time delayed control of classically damped structural systems
• Linear Matrix Inequalities in System and Control Theory
• Robust stabilization of uncertain input-delayed systems using reduction method
• Unnamed Item

This page was built for publication: Robust stabilization of linear systems with delayed state and control