A small gain theorem for systems with non-causal subsystems

ÜNAL H. U., İFTAR A.

AUTOMATICA, cilt.44, sa.11, ss.2950-2953, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 11
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.automatica.2008.04.005
  • Dergi Adı: AUTOMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2950-2953
  • Anahtar Kelimeler: Stability, Small gain theorem, Non-causal systems, Non-linear systems, Time-varying systems, SPATIALLY INTERCONNECTED SYSTEMS, INPUT-OUTPUT STABILITY, FEEDBACK SYSTEMS, CONTROLLERS
  • Anadolu Üniversitesi Adresli: Evet

Özet

Small gain theorems are used to verify the stability of a feedback interconnection of causal stable systems. In this work, we extend the small gain condition to test the stability of a feedback interconnection of two stable systems at least one of which is non-causal. This result may find application in the robust controller design for time-delay systems. (C) 2008 Elsevier Ltd. All rights reserved.