Geodesic
An asymptotic solution to a singularly perturbed time-optimal control problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 11, pp. 1963-1968

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The time-optimal control problem for a linear singularly perturbed system with multidimensional controls bounded in the Euclidean norm is considered. It is shown that an approximate (asymptotic) solution to the problem can be constructed by solving two unperturbed optimal control problems of a lower dimension. 
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     author = {A. I. Kalinin},
     title = {An asymptotic solution to a singularly perturbed time-optimal control problem},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1963--1968},
     publisher = {mathdoc},
     volume = {45},
     number = {11},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_11_a5/}
}
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A. I. Kalinin. An asymptotic solution to a singularly perturbed time-optimal control problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 11, pp. 1963-1968. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_11_a5/