A switched Lyapunov function approach to stability analysis of non-uniformly sampled-data systems

Stability of sampled-data feedback systems with uncertainly time-varying sampling intervals is considered. It is shown that exponential stability of the system is implied by showing the existence of a switched Lyapunov function for the related discretized system. The proposed stability criterion is less conservative than the conventional one based on the quadratic stability of the discretized system. The reduction of the conservatism is illustrated by a numerical example.