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Stability of time-delay singularly perturbed systems. (English) Zbl 0822.93062
Summary: 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 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.

93D20 Asymptotic stability in control theory
34K35 Control problems for functional-differential equations
34E15 Singular perturbations, general theory for ordinary differential equations
93C70 Time-scale analysis and singular perturbations in control/observation systems
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