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In this paper we give a new approach to introduce switching strategies in aspecial class of optimal multiprocesses. Defined as the set of partitions ofthe time interval, switching strategies become the character of a classicalcontrol. With this approach we overcome the restrictive comparison ofmultiprocesses with the same switching strategy. The necessary conditions forstrong local optimizer in form of the Pontryagin maximum principle aredemonstrated in illustrative examples.

The Pontryagin Maximum Principle for Optimal Multiprocesses with Continuous States