Abstract
Liapunov like conditions for asymptotic stability of singularly perturbed dynamic systems are established, which are used as a basis to link singular perturbation approach and vector Liapunov function approach to the stability analysis of singularly perturbed large-scale systems.New aggregation techniques are developed that essentially relax conditions on largescale systems, which can be singularly perturbed.The criteria are established for asymptotic stability of an invariant product set that can be time-invariant or time-varying. In a special case it can contain only the equilibrium state. The general results are illustrated by numerical examples and by an application to singularly perturbed large-scale systems.
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