A switched Lyapunov function approach to stability analysis of non-uniformly sampled-data systems with robust LMI techniques

Motivated by the widespread use of networked and embedded control systems, stability of sampled-data feedback systems with uncertainly time-varying sampling intervals is considered. Based on the fact that the exponential stability is implied by the existence of a switched Lyapunov function for the associated discretized system, which is less conservative than the conventional condition based on the quadratic stability of the discretized system, stability criteria are derived by using the robust LMI techniques. The reduction of the conservatism is illustrated by a numerical example.