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Journal of Convex Analysis 13 (2006), No. 2, 329--352
Copyright Heldermann Verlag 2006

Averaging and Near Viability of Singularly Perturbed Control Systems

V. Gaitsgory
Centre for Industrial and Applicable Mathematics, University of South Australia, Mawson Lakes, SA 5095, Australia

We consider issues related to averaging of singularly perturbed control systems (SPCS) in the viability context. We introduce a notion of near viability of SPCS and relate it to the viability of a specially constructed averaged differential inclusion.

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