Geodesic
Asymptotic representation of a solution to a singular perturbation linear time-optimal problem
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 2, pp. 67-79 Cet article a éte moissonné depuis la source Math-Net.Ru

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A time-optimal control problem is considered for a linear system with fast and slow variables and smooth geometric constraints on the control. An asymptotic expansion of the optimal time up to the second order of smallness is constructed and validated.
Keywords: optimal control, time-optimal control problem, asymptotic expansion, singular perturbation problems, small parameter. 
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A. R. Danilin; O. O. Kovrizhnykh. Asymptotic representation of a solution to a singular perturbation linear time-optimal problem. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 2, pp. 67-79. http://geodesic.mathdoc.fr/item/TIMM_2012_18_2_a6/

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