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Variation of “time change” in optimal control. (English. Russian original) Zbl 0723.49023

Sov. Math., Dokl. 41, No. 2, 227-231 (1990); translation from Dokl. Akad. Nauk SSSR 311, No. 2, 265-270 (1990).
Summary: We consider a time-optimal problem for smooth systems. We derive necessary conditions for optimality, particularly for bang-bang controls which satisfy Pontryagin’s maximum principle. As an application, we consider a rigid body which is allowed to rotate at a given speed about two fixed axes.

MSC:

49K30 Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.)
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