Further remarks on the effect of multiple spectral values on the dynamics of time-delay systems. Application to the control of a mechanical system

Boussaada I., Tliba S., Niculescu S., ÜNAL H. U., Vyhlidal T.

LINEAR ALGEBRA AND ITS APPLICATIONS, vol.542, pp.589-604, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 542
  • Publication Date: 2018
  • Doi Number: 10.1016/j.laa.2017.11.022
  • Journal Name: LINEAR ALGEBRA AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.589-604
  • Keywords: Time-delay, Stability, Frequency-domain approach, Control design, Vibration control
  • Anadolu University Affiliated: Yes

Abstract

A question of ongoing interest for linear Time-delay systems is to determine conditions on the equation parameters that guarantee the exponential stability of solutions. In recent works a new interesting property of time-delay systems was emphasized. As a matter of fact, the multiple spectral values for time-delay systems was characterized by using a Birkhoff/Vandermonde-based approach. Then, a multiplicity induced stability criteria were exhibited for reduced order systems; scalar delay-equations and a special class of second order systems. This work, further explores such a criteria and shows their applicability to the control of a mechanical system. (C) 2017 Elsevier Inc. All rights reserved.