Finite-time H-infinity synchronization of semi-Markov jump Lur'e systems

Huang X., Zhou Y., Fang M., Zhou J., ARIK S.

MODERN PHYSICS LETTERS B, cilt.35, sa.10, 2021 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 10
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1142/s0217984921501682
  • Dergi Adı: MODERN PHYSICS LETTERS B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Chemical Abstracts Core, INSPEC, zbMATH
  • Anahtar Kelimeler: Lur'e system, finite-time synchronization, time delay, semi-Markov process
  • İstanbul Üniversitesi-Cerrahpaşa Adresli: Evet

Özet

This paper investigates the problem of finite-time H-infinity synchronization for semi-Markov jump Lur'e systems with time-varying delay and external disturbance. The purpose of this work is to design a mode-dependent state-feedback controller to ensure that the synchronization-error system achieves finite-time synchronization with a prescribed H-infinity performance index. A criterion for the finite-time synchronization is proposed by using appropriate Lyapunov functional and two recently developed inequalities. Then, a design method for the required state-feedback controller is presented with the application of several decoupling techniques. Finally, an example is provided to illustrate the applicability of the proposed control method.