Global stability of cascaded systems with non-smooth continuity

The local/global Lipschitz continuity is always required when considering the stability of the cascaded systems. Different from the exiting methods proposed in the literature, this paper gives a method to deal with non-smooth cascaded systems. By using iISS property, some sufficient conditions for global asymptotic stability of the cascaded systems are derived. Then, based upon this, an interesting result of finite-time stability for cascaded systems is further studied. The proposed methods are verified by some academic examples.