Geodesic
Asymptotic behavior of the solution of a singularly perturbed linear-quadratic terminal control problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 3, pp. 423-433 Cet article a éte moissonné depuis la source Math-Net.Ru

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A quadratic terminal cost functional is minimized on the trajectories of a linear singularly perturbed system. Equality constraints are imposed on the right end of the trajectories, while the multidimensional controls are bounded in the Euclidean norm. An algorithm is proposed for constructing asymptotic approximations to the solution of the problem. 
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A. I. Kalinin. Asymptotic behavior of the solution of a singularly perturbed linear-quadratic terminal control problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 3, pp. 423-433. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_3_a2/

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