On the absolute stability of sampled-data systems: The "Indirect control" case

A study is made of the problem of absolute stability or "Lur'e problem" in the case of a sampled-data control system containing one integrator in the loop. By the second method of Liapunov, a frequency-domain inequality is obtained which is shown to be a sufficient condition for the absolute stability of the class of systems under investigation. This inequality improves inequalities of similar type which have been obtained by means of the Popov approach.