Geodesic
Asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with integral constraint
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 3, pp. 76-85 Cet article a éte moissonné depuis la source Math-Net.Ru

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A control problem for solutions of a boundary value problem for a second-order ordinary differential equation with a small parameter at the second derivative is considered on a closed interval. The control is scalar and subject to integral constraints. We construct a complete asymptotic expansion in powers of the small parameter in the Erdelyi sense.
Keywords: optimal control, time-optimal problem, asymptotic expansion, singular perturbation problems, small parameter. 
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A. R. Danilin. Asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with integral constraint. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 3, pp. 76-85. http://geodesic.mathdoc.fr/item/TIMM_2014_20_3_a4/

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