Given that a time-delay system is stable for some delay h0 > 0, a procedure is given to find the stability interval [h1 ; h2 ] such that h0 2 [h1 ; h2] and for all h satisfying h1 < h < h2 the system is stable. Further, the system is shown to be unstable if h = h1 or h = h2. It is then shown how this can be applied to test the robust stability (with respect to delay values) of a Smith-Predictor based controller.
Proc. 3rd IFAC Wshop on Time Delay Syst
Time Delay, Stability, Smith Predictor
Abdallah, Chaouki T. and John Chiasson. "Robust stability of time delay systems: Theory." (2012). http://digitalrepository.unm.edu/ece_fsp/10