Geodesic
Controllable systems with impacts
Contemporary Mathematics. Fundamental Directions, Proceedings of the International Conference on Mathematical Control Theory and Mechanics (Suzdal, July 3–7, 2009), Tome 42 (2011), pp. 166-178

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Control problems in dynamic systems allowing pulse forces due to the presence of unilateral active constraints are considered. This paper gives an analysis of controls used during impact interactions. A new kind of pulse controls arising at the time of impact is introduced. These problems are typical for the so-called vibroimpact systems with numerous applications, whose number is constantly increasing in recent years. The goal of the paper is to describe the phase of a controllable impact and to determine the constraint reactions. 
@article{CMFD_2011_42_a15,
     author = {B. M. Miller},
     title = {Controllable systems with impacts},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {166--178},
     publisher = {mathdoc},
     volume = {42},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2011_42_a15/}
}
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B. M. Miller. Controllable systems with impacts. Contemporary Mathematics. Fundamental Directions, Proceedings of the International Conference on Mathematical Control Theory and Mechanics (Suzdal, July 3–7, 2009), Tome 42 (2011), pp. 166-178. http://geodesic.mathdoc.fr/item/CMFD_2011_42_a15/