Stability analysis of switched linear systems with switched time-delay feedback controller

This paper investigates the stability of switched linear systems with switched feedback controller in which delays are present in both state and switching signal. For switched systems with average dwell-time switching signals, based on the approach which combines multiple Lyapunov function techniques with the merging switching signal technique, sufficient conditions for stability of the closed-loop are established in case where some subsystems are stabilizable. The stability results are robust to both state delays and switching delays as well as small linear unmodeled dynamics.