Analysis of Integral Input-to-State Stable time-delay systems in cascade

Goksu G., Chaillet A.

21st IFAC World Congress on Automatic Control - Meeting Societal Challenges, ELECTR NETWORK, 11 - 17 July 2020, vol.53, pp.6404-6409 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 53
  • Doi Number: 10.1016/j.ifacol.2020.12.1779
  • Page Numbers: pp.6404-6409
  • Keywords: Time-delay systems, integral input-to-state stability, Lyapunov-Krasovskii functional, cascade interconnections, SMALL-GAIN THEOREM, ASYMPTOTIC STABILITY, ISS, IISS, STABILIZATION
  • Yıldız Technical University Affiliated: No


We consider the cascade interconnection of two nonlinear time-delay systems, each of which being integral input-to-state stable (iISS). We provide an explicit growth rate condition on the dissipation rate of the driving system and the input rate of the driven system under which the overall cascade is globally asymptotically stable in the absence of inputs (0-GAS), and its solutions are bounded in response to any input with a suitable bounded-energy assumption. Copyright (C) 2020 The Authors.