Stability of time-delay singularly perturbed systems

The stability of a linear time-invariant singularly perturbed system with time delay in slow states is discussed. A delay-independent sufficient condition for the stability bound ε* is given, such that the stability of the full-order model can be inferred from the analysis of the corresponding reduced-order model in separate time scales. The perturbation on time delay is also considered. The significance of the results obtained is illustrated by several examples