Geodesic
Optimality conditions of the maximum principle type in bilinear control problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 12, pp. 2054-2064 
V. G. Antonik; V. A. Srochko. Optimality conditions of the maximum principle type in bilinear control problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 12, pp. 2054-2064. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_12_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The optimization of a bilinear functional related to a linear state system with a modular control constraint is considered. Exact formulas for the functional increment are used to obtain sufficient conditions for the optimality of extremal controls that supplement the maximum principle. These conditions are represented in the form of inequalities and equalities for one-variable functions on a time interval. The optimization of a quadratic functional with the help of a matrix conjugate function is reduced to the bilinear case.

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