Geodesic
A~general approach to the solution of the bounded control synthesis problem in a~controllability problem
Sbornik. Mathematics, Tome 37 (1980) no. 4, pp. 535-557

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Consider a system of differential equations $$ \dot x=f(x,u),\qquad u\in M, $$ where $x$ an $n$-dimensional vector, $u$ is an $r$-dimensional control, and $M$ is a subset of an $r$-dimensional space. A general approach to the solution of the following synthesis problem is proposed: construct a control $u=u(x)\in M$ such that the corresponding trajectory of the system $\dot x=f(x,u(x))$ starting at an arbitrary point $x_0$ terminates at the final time $T(x_0)$ at the point $x_1$. Bibliography: 8 titles. 
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     author = {V. I. Korobov},
     title = {A~general approach to the solution of the bounded control synthesis problem in a~controllability problem},
     journal = {Sbornik. Mathematics},
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     volume = {37},
     number = {4},
     year = {1980},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1980_37_4_a3/}
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V. I. Korobov. A~general approach to the solution of the bounded control synthesis problem in a~controllability problem. Sbornik. Mathematics, Tome 37 (1980) no. 4, pp. 535-557. http://geodesic.mathdoc.fr/item/SM_1980_37_4_a3/