Geodesic
The dependence of the time-optimal control problem for a linear system of the small parameters
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 14 (2011), pp. 46-60

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A time-optimal control problem is considered for a linear system with fast and slow variables and geometric constraints on the control and independent small perturbation of the initial data. The solvability of this problem is prooved. For the optimal time and optimal control, the dependence of these small parameters is investigated.
Keywords: optimal control, time-optimal control problem, singular perturbation problems, small parameter. 
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     author = {A. R. Danilin and O. O. Kovrizhnykh},
     title = {The dependence of the time-optimal control problem for a linear system of the small parameters},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {46--60},
     publisher = {mathdoc},
     number = {14},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2011_14_a4/}
}
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A. R. Danilin; O. O. Kovrizhnykh. The dependence of the time-optimal control problem for a linear system of the small parameters. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 14 (2011), pp. 46-60. http://geodesic.mathdoc.fr/item/VCHGU_2011_14_a4/