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Zbl 1151.49017
Dmitruk, A.V.; Kaganovich, A.M.
The hybrid maximum principle is a consequence of Pontryagin's maximum principle.
(English)
[J] Syst. Control Lett. 57, No. 11, 964-970 (2008). ISSN 0167-6911

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 2000:
*49K15 Optimal control problems with ODE (nec./ suff.)
49K10 Free problems in several independent variables (nec./ suff.)

Keywords: hybrid system; optimal control problem; Pontryagin's maximum principle; endpoint constraints; jumps in adjoint variables; transversality conditions

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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