Abstract
The optimal periodic non-boundary control problem for a tubular chemical reactor depicted by first-order partial differential equations is interpreted as an optimal control problem for a system governed by an initial-valued abstract differential equation. A sufficient condition for the existence of a time-dependent periodic control superior to the unique time-invariant control is derived with the help of an analysis of a second variation of the objective function on the set of admissible solutions. The use of the condition is explained on a simple example.
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