Worst-case analysis of asynchronous sampled-data systems

In this paper the problem of worst-case analysis for sampled-data systems in the presence of an asynchronous input is addressed. The asynchronous input to the system is modeled as a Poisson driven Markov process. The resulting stochastic process is optimized using the techniques for Poisson driven Markov processes. The problem of asynchronous input with an arbitrary hold function is also addressed.