Informativity of noisy data for structural properties of linear systems

This paper deals with developing tests for checking whether an unknown system has certain structural properties. The that we are aiming at in terms of noisy input–state–output data obtained from the system. Since, general, do not determine uniquely, many systems compatible same set data. Therefore cannot apply identification and existing, model based, tests. Instead, will use concept informativity, establish informativity given We this a range properties, among which strong observability detectability controllability stabilizability. These be rank on polynomial matrices can constructed also up geometric framework analysis. Within give observability, left-invertibility.