Stability analysis of linear systems with time-varying state and measurement delays

In this paper, an LMI based analysis approach to check the stability of closed-loop discrete-time linear systems with both time-varying state and measurement delays is presented. The internal as well as the measurement delays are assumed to be time-varying but bounded. The stability analysis procedure allows to determine the delay intervals ensuring the stability of the controlled plant. The procedure is applicable to any plant with two different state delays, as well as to diverse control applications, as illustrated in the reported example. The procedure can be conceptually extended to the general case of systems with multiple time-varying delays.