Growth rate of switched homogeneous systems

Tuna S. E.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 11
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.automatica.2008.03.017
  • Dergi Adı: AUTOMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2857-2862
  • Anahtar Kelimeler: Homogeneity, Switched system, Growth rate, Joint spectral radius, Approximation algorithm, LYAPUNOV INDICATOR, STABILITY
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.