Stability of control systems under aperiodic sampling and input saturation with clock-dependent Lyapunov functions

In this paper, a new method of stability analysis of sampled-data control systems
with input saturation is proposed. With the use of a class of time-dependent Lyapunov functions, the continuous and discrete dynamics of the system are taken into account to asses the stability of the closed-loop system when aperiodic sampling is considered. Considering this particular quadratic form of the Lyapunov function, new conditions to estimate the region of attraction of such nonlinear systems are derived.