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Stability bounds of singularity perturbed systems. (English) Zbl 0774.93053
Summary: A necessary and sufficient condition is developed in this correspondence to compute the upper bound ε 0 of the parasitic parameter ε in a singularly perturbed system, which ensures stability of such a system of 0<ε<ε 0 . The value of this obtainable upper bound by the proposed method is much higher than what can be attained by the existing methods available in the literature.
MSC:
93C73Perturbations in control systems