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, cilt.542, ss.589-604, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 542
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.laa.2017.11.022
  • Dergi Adı: LINEAR ALGEBRA AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.589-604
  • Anahtar Kelimeler: Time-delay, Stability, Frequency-domain approach, Control design, Vibration control
  • Anadolu Üniversitesi Adresli: Evet

Özet

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.