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We consider the differential game associated with robust control of a
system in a compact state domain, using Skorokhod dynamics on the
boundary. A specific class of problems motivated by queueing network control
is considered. A constructive approach to the Hamilton-Jacobi-Isaacs
equation is developed which is based on an appropriate family of
extremals, including boundary extremals for which the Skorokhod
dynamics are active. A number of technical lemmas and a structured
verification theorem...
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