A small gain theorem for systems with non-causal subsystems


AUTOMATICA, vol.44, no.11, pp.2950-2953, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 11
  • Publication Date: 2008
  • Doi Number: 10.1016/j.automatica.2008.04.005
  • Journal Name: AUTOMATICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2950-2953
  • Keywords: Stability, Small gain theorem, Non-causal systems, Non-linear systems, Time-varying systems, SPATIALLY INTERCONNECTED SYSTEMS, INPUT-OUTPUT STABILITY, FEEDBACK SYSTEMS, CONTROLLERS
  • Anadolu University Affiliated: Yes


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.