Explicit Sufficient Stability Conditions on Dwell Time of Linear Switched Systems

Karabacak O., Ilhan F., ÖNER I.

53rd IEEE Annual Conference on Decision and Control (CDC), Los-Angeles, Şili, 15 - 17 Aralık 2014, ss.6266-6270 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: Los-Angeles
  • Basıldığı Ülke: Şili
  • Sayfa Sayıları: ss.6266-6270
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

Explicit conditions on the minimum dwell time that guarantees the asymptotic stability of switched linear systems are given. To this aim, methods that have been proposed for non-defective stable subsystem matrices are generalized to arbitrary stable subsystems matrices. Admissible switchings between subsystems are assumed to be in a general form, namely switchings respect a given directed graph. It is shown that logarithmic norm of matrix exponentials and LambertW functions can be used to bound the solutions of switched linear systems in case of defective subsystem matrices. Using a generalized version of Jordan form, dwell time bound can be found for any set of stable subsystem matrices.