Geodesic
Sufficient optimality conditions for a class of nonconvex control problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 10, pp. 1670-1680 Cet article a éte moissonné depuis la source Math-Net.Ru

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The optimization of a bilinear-quadratic functional with respect to a linear phase system with a modulus control constraint is considered. Special representations of the cost functional are used to obtain sufficient optimality conditions for certain classes of extremal controls in the form of sign definiteness inequalities for functions of one and two variables. These conditions are as easy to implement numerically as verifying controls for extremeness. 
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E. V. Aksenyushkina; V. A. Srochko. Sufficient optimality conditions for a class of nonconvex control problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 10, pp. 1670-1680. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_10_a5/

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