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 Temmuz 2020, cilt.53, ss.6404-6409 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 53
  • Doi Numarası: 10.1016/j.ifacol.2020.12.1779
  • Basıldığı Ülke: ELECTR NETWORK
  • Sayfa Sayıları: ss.6404-6409
  • Anahtar Kelimeler: Time-delay systems, integral input-to-state stability, Lyapunov-Krasovskii functional, cascade interconnections, SMALL-GAIN THEOREM, ASYMPTOTIC STABILITY, ISS, IISS, STABILIZATION
  • Yıldız Teknik Üniversitesi Adresli: Hayır

Özet

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.