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Impulsive optimal control in models of economics and quantum electronics. (English. Russian original) Zbl 1063.49514

Autom. Remote Control 60, No. 11, Part 2, 1603-1613 (1999); translation from Avtom. Telemekh. 1999, No. 11, 100-113 (1999).
Summary: Applied models of impulsive optimal control with discontinuous trajectories are investigated using first-order necessary optimality conditions in the form of the generalized and the variational maximum principle. The extremal of the maximum principle is rejected in one of the models studied, whereas it reaches the constraining boundary an arbitrary number of times in a model with phase constraints.

MSC:

49N90 Applications of optimal control and differential games
91B62 Economic growth models
49N25 Impulsive optimal control problems
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