Growth rate of switched homogeneous systems

Tuna S. E.

AUTOMATICA, cilt.44, sa.11, ss.2857-2862, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Konu: 11
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.automatica.2008.03.017
  • Dergi Adı: AUTOMATICA
  • Sayfa Sayıları: ss.2857-2862


We consider discrete-time homogeneous systems under arbitrary switching and study their growth rate, the analogue of joint spectral radius for switched linear systems. We show that a system is asymptotically stable if and only if its growth rate is less than unity. We also provide an approximation algorithm to compute growth rate with arbitrary accuracy. (C) 2008 Elsevier Ltd. All rights reserved.