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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.

MSC:
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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