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The hybrid maximum principle is a consequence of Pontryagin’s maximum principle. (English) Zbl 1151.49017
Summary: We give a simple proof of the maximum principle for smooth hybrid control systems by reducing the hybrid problem to an optimal control problem of Pontryagin type and then by using the classical Pontryagin’s maximum principle.
MSC:
49K15Optimal control problems with ODE (optimality conditions)
49K10Free problems in several independent variables (optimality conditions)