Mode detection and discernability as a framework for the estimation of time-varying delays

In this paper, it is shown how the issue of reconstructing time-varying unknown delays for linear systems can be turned into a mode detection one for switched affine systems. The specificities due to this reformulation are highlighted. The property of discernability, that is the ability for a detector to deliver a unique solution, is specifically addressed. An example is given as an illustration of the efficiency of the approach.