Geodesic
Solution of a non-local problem of terminal control
Zapiski Nauchnykh Seminarov POMI, Investigations on applied mathematics and informatics. Part III, Tome 539 (2024), pp. 86-101

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The paper presents an algorithm of constructing a differentiable control function, that provides transition of a system from a given initial state to the origin in some finite time. The algorithm is applicable to a wide class of non-linear systems, described with ordinary differential equations. A constructive sufficient Kalman-type condition that guarantees the transition is obtained. 
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     author = {A. N. Kvitko and A. S. Eremin},
     title = {Solution of a non-local problem of terminal control},
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A. N. Kvitko; A. S. Eremin. Solution of a non-local problem of terminal control. Zapiski Nauchnykh Seminarov POMI, Investigations on applied mathematics and informatics. Part III, Tome 539 (2024), pp. 86-101. http://geodesic.mathdoc.fr/item/ZNSL_2024_539_a4/