The Burst Failure Influence on the $H_{\mathrm{\infty }}$ Norm

In this work, we present an analysis of the Burst failure effect in the $H_{\mathrm{\infty }}$ norm. We present a procedure to perform an analysis between different Markov Chain models and a numerical example. In the numerical example the results obtained pointed out that the burst failure effect in the performance does not exceed 6.3%. However, this work is an introduction for a wider and more extensive analysis in this subject.