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JOURNALS // Contemporary Mathematics. Fundamental Directions // Archive

CMFD, 2011 Volume 42, Pages 166–178 (Mi cmfd199)

This article is cited in 6 papers

Controllable systems with impacts

B. M. Millerab

a Monash University, Victoria, Australia
b Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia

Abstract: 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.

UDC: 517.938


 English version:
Journal of Mathematical Sciences, 2014, 199:5, 571–582

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© Steklov Math. Inst. of RAS, 2025