Abstract: The talk presents my recent research on the stability analysis of
switched systems, which are a class of dynamical systems whose
dynamics can abruptly change. Examples include the control of systems
over unreliable networks or with a failure-prone controller. In this
talk I will discuss a fundamental property called stability of
switched linear systems. I will in particular focus on the case when
switching is modeled by non-traditional stochastic processes, in
particular, by non-Markovian processes.