Overview of recent advances in stability of linear systems with time‐varying delays

XM Zhang, QL Han, A Seuret… - IET Control Theory & …, 2019 - Wiley Online Library
This study provides an overview and in‐depth analysis of recent advances in stability of
linear systems with time‐varying delays. First, recent developments of a delay convex …

Time-delay systems: an overview of some recent advances and open problems

JP Richard - automatica, 2003 - Elsevier
After presenting some motivations for the study of time-delay system, this paper recalls
modifications (models, stability, structure) arising from the presence of the delay …

Introduction to time-delay systems

E Fridman - Analysis and Control. Birkhäuser, 2014 - Springer
Introduction to Time-Delay Systems Introduction Page 1 ERRATUM Introduction to Time-Delay
Systems Analysis and Control Emilia Fridman © Springer International Publishing Switzerland …

Hierarchy of LMI conditions for the stability analysis of time-delay systems

A Seuret, F Gouaisbaut - Systems & Control Letters, 2015 - Elsevier
Assessing stability of time-delay systems based on the Lyapunov–Krasovskii functionals has
been the subject of many contributions. Most of the results are based, first, on an a priori …

A refined input delay approach to sampled-data control

E Fridman - Automatica, 2010 - Elsevier
This paper considers sampled-data control of linear systems under uncertain sampling with
the known upper bound on the sampling intervals. Recently a discontinuous Lyapunov …

[图书][B] Stability, control, and computation for time-delay systems: an eigenvalue-based approach

W Michiels, SI Niculescu - 2014 - SIAM
The interconnection between two (or more) physical systems is always accompanied by
transfer phenomena (material, energy, information) such as transport and propagation …

Stability analysis of systems with time-varying delay via relaxed integral inequalities

CK Zhang, Y He, L Jiang, M Wu, HB Zeng - Systems & Control Letters, 2016 - Elsevier
This paper investigates the stability of linear systems with a time-varying delay. The key
problem concerned is how to effectively estimate single integral term with time-varying delay …

Tutorial on Lyapunov-based methods for time-delay systems

E Fridman - European Journal of Control, 2014 - Elsevier
Time-delay naturally appears in many control systems, and it is frequently a source of
instability. However, for some systems, the presence of delay can have a stabilizing effect …

Robust sampled-data stabilization of linear systems: an input delay approach

E Fridman, A Seuret, JP Richard - Automatica, 2004 - Elsevier
A new approach to robust sampled-data control is introduced. The system is modelled as a
continuous-time one, where the control input has a piecewise-continuous delay. Sufficient …

Delay-dependent criteria for robust stability of time-varying delay systems

M Wu, Y He, JH She, GP Liu - Automatica, 2004 - Elsevier
This paper deals with the problem of delay-dependent robust stability for systems with time-
varying structured uncertainties and time-varying delays. Some new delay-dependent …