Recent progress in stability and stabilization of systems with time-delays
type: Item
instance of: scholarly article
title: Recent progress in stability and stabilization of systems with time-delays
zbMATH Open document ID: 1426.93272
DOI: 10.1155/2017/7354654
author: Yanyan Li
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: This paper overviews the research investigations pertaining to stability and stabilization of control systems with time-delays. The prime focus is the fundamental results and recent progress in theory and applications. The overview sheds light on the contemporary development on the linear matrix inequality (LMI) techniques in deriving both delay-independent and delay-dependent stability results for time-delay systems. Particular emphases will be placed on issues concerned with the conservatism and the computational complexity of the results. Key technical bounding lemmas and slack variable introduction approaches will be presented. The results will be compared and connections of certain delay-dependent stability results are also discussed.
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 6972451
Wikidata QID: Q59147759
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/7354654
OpenAlex ID: W2625083270
cites work: On delay-dependent stability conditions
cites work: Introduction to functional differential equations
cites work: Stability of time-delay systems
cites work: Time-delay systems: an overview of some recent advances and open problems.
cites work: Q2706777
cites work: Differential equations: Stability, oscillations, time lags
cites work: Introduction to time-delay systems. Analysis and control
cites work: Switched Time-Delay Systems
cites work: A Liapunov functional for a matrix difference-differential equation
cites work: Generalization of Liapunov's theorem in a linear delay system
cites work: Q3975218
cites work: Design of robust controllers for time-delay systems
cites work: Quadratic stabilization of continuous time systems with state-delay and norm-bounded time-varying uncertainties
cites work: Q4238434
cites work: Q3166510
cites work: An LMI Approach to Stability of Systems With Severe Time-Delay
cites work: Robust \(h_{\infty }\) control for uncertain discrete-time systems with time-varying delays via exponential output feedback controllers
cites work: Delay-dependent fault estimation for uncertain time-delay nonlinear systems: an LMI approach
cites work: A robust control approach to stabilization of networked control systems with time-varying delays
cites work: Stability analysis for networked control systems based on average dwell time method
cites work: An LMI approach to robust \(H_\infty\) filtering for uncertain systems with time-varying distributed delays
cites work: Delay-dependent robust \(H_\infty\) control for uncertain systems with time-varying delay
cites work: Robust stabilization of polytopic discrete-time systems with time-varying state delay: a convex approach
cites work: &lt;tex&gt;$H_infty$&lt;/tex&gt;Control for Networked Systems With Random Communication Delays
cites work: Modelling and control of networked control systems with both network-induced delay and packet-dropout
cites work: Stability of Networked Control Systems With Polytopic Uncertainty and Buffer Constraint
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: An improved stabilization method for linear time-delay systems
cites work: Delay-dependent stability and H ∞ control: Constant and time-varying delays
cites work: Delay-dependent criteria for robust stability of time-varying delay systems
cites work: Augmented Lyapunov functional and delay-dependent stability criteria for neutral systems
cites work: Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay
cites work: Delay-dependent stability and stabilization of neutral time-delay systems
cites work: On improved delay-dependent stability criteria for neutral time-delay systems
cites work: A delay-dependent stability criterion for systems with uncertain time-invariant delays
cites work: Delay-dependent robust stabilization of uncertain state-delayed systems
cites work: <tex>$H_infty$</tex>Control of Linear Uncertain Time-Delay Systems—A Projection Approach
cites work: Control and Estimation Methods over Communication Networks
cites work: Discrete-time systems with time-varying time delay: stability and stabilizability
cites work: Reliable \(H_\infty \) control for discrete-time piecewise linear systems with infinite distributed delays
cites work: Stability of some linear systems with delays
cites work: New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems
cites work: A survey of linear matrix inequality techniques in stability analysis of delay systems
cites work: \(H_{\infty}\)-controllers for time-delay systems using linear matrix inequalities
cites work: Q3993534
cites work: Robust Kalman filtering for continuous time-lag systems
cites work: A switched system approach to networked \(H _{\infty }\) filtering with packet losses
cites work: On the model-based control of networked systems
cites work: An H/sub /spl infin// approach to networked control
cites work: Robust dissipative control for internet-based switching systems
cites work: Asymptotic analysis of digital control systems
cites work: Robust sampled-data stabilization of linear systems: an input delay approach
cites work: Wirtinger's inequality and Lyapunov-based sampled-data stabilization
cites work: Exponential stability of impulsive systems with application to uncertain sampled-data systems
cites work: Stability of linear systems with general sawtooth delay
cites work: Networked‐based stabilization via discontinuous Lyapunov functionals
cites work: Decentralized Stabilization of Interconnected Systems With Time-Varying Delays
cites work: Wirtinger-based integral inequality: application to time-delay systems
cites work: Improved results on stability of linear systems with time-varying delays via Wirtinger-based integral inequality
cites work: Stability of time-delay systems via Wirtinger-based double integral inequality
cites work: Improvement on the feasible region of \(\mathcal H_\infty\) performance and stability for systems with interval time-varying delays via augmented Lyapunov-krasivskii functional
cites work: Stability and stabilization of T-S fuzzy systems with time-varying delays via augmented Lyapunov-Krasovskii functionals

Recent progress in stability and stabilization of systems with time-delays (cites work)
cites work: Robust $H_{\infty}$ Filtering for a Class of Nonlinear Networked Systems With Multiple Stochastic Communication Delays and Packet Dropouts

Recent progress in stability and stabilization of systems with time-delays (cites work)
cites work: Robust reliable control for discrete-time-delay systems with stochastic nonlinearities and multiplicative noises