Stabilization of switched linear systems with multiple time-delays

This paper considers the problem of stabilization of switched linear systems with multiple time-delays. If the convex combination ∑α j A j is Hurwitz and the upper bound of delays has a limitation, the system is stabilized under a switching rule and the switching rule has been designed. The single-Lyapunov function is used to analyze the stabilization of the system with a sufficiently small upper bound of delays via a switching rule.