Stability of abstract linear switched impulsive differential equations


AUTOMATICA, cilt.107, ss.433-441, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 107
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1016/j.automatica.2019.06.001
  • Dergi Adı: AUTOMATICA
  • Sayfa Sayıları: ss.433-441


Linear impulsive switched differential equations in Hilbert space are studied. We propose a new method of stability investigation, which is based in constructing an equivalent impulsive system without switching. Using operator-valued and scalar Lyapunov functions, sufficient conditions for Lyapunov stability of linear switched impulsive equations in a Banach space are established. The examples of studies of this class of equations with periodic switching are given. (C) 2019 Elsevier Ltd. All rights reserved.