Ihab Haidar1, Yacine Chitour2, Paolo Mason3, Mario Sigalotti4
10:20 - 10:40 | Wed 11 Dec | Rhodes CD | WeA17.2
In this paper, we provide two converse Lyapunov theorems in the framework of nonlinear infinite-dimensional switching systems. Our results characterize uniform exponential stability with respect to the switching law through the existence of both coercive and non-coercive Lyapunov functionals. The starting point for our arguments is a generalization of the well-known Datko lemma to the case of nonlinear infinite-dimensional switching systems.