Dynamical systems with multiple time-varying delays: stability and stabilizability

Authors:
D. Mehdi;E. K. Boukas;Z. K. Liu
Affiliations:
Professor, Laboratoire Automatique et Informatique Industrielle, École Supérieure d'Ingénieurs de Poitiers, Poitiers, France;Professor, GERAD and École Polytechnique de Montréal, Mechanical Engineering Department, Montréal, Québec, Canada;Postdoctoral Fellow, École Polytechnique de Montréal, Mechanical Engineering Department, Montréal, Québec, Canada
Venue:
Journal of Optimization Theory and Applications
Year:
2002

Citing 4
Cited 3

Further results on the robust stability of linear systems with a single time delay

Systems & Control Letters
Criteria for robust stability and stabilization of uncertain linear systems with state delay

Automatica (Journal of IFAC)
Further results on the robust stability of linear systems including delayed perturbations

Automatica (Journal of IFAC)
Deterministic and Stochastic Time-Delay Systems

Deterministic and Stochastic Time-Delay Systems

Stability analysis of systems with uncertain time-varying delays

Automatica (Journal of IFAC)
Simple stability criteria for systems with time-varying delays

Automatica (Journal of IFAC)
On H∞ control for linear systems with interval time-varying delay

Automatica (Journal of IFAC)

Quantified Score

Hi-index	0.01

Visualization

Abstract

This paper deals with the class of uncertain systems with multiple time delays. The stability and stabilizability of this class of systems are considered. System robustness is also studied when the norm-bounded uncertainties are considered. LMI delay-dependent sufficient conditions for stability, stabilizability, and system robustness are established to check whether a system of this class is stable and/or stabilizable. Numerical examples are provided to show the usefulness of the proposed results.