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Avtomat. i Telemekh., 2020 Issue 8, Pages 63–83 (Mi at15564)

Topical issue

Auxiliary sliding motions of vibro-impact systems

S. P. Gorbikov

Nizhny Novgorod State University of Architecture and Civil Engineering, Nizhny Novgorod, Russia

Abstract: In motion control systems, modes with more and more frequent switching are known. For systems with impacts (a certain class of impulse systems), an analog of these modes is motions with an infinite number of impact interactions occurring in a finite time. For such motions, a description in terms of smooth differential equations is proposed. Some applications of such a description are presented.

Keywords: impact interaction, local singularity, infinite-impact motions, auxiliary sliding motions, point mapping.

Presented by the member of Editorial Board: B. T. Polyak

Received: 23.07.2019
Revised: 10.10.2019
Accepted: 30.01.2020

DOI: 10.31857/S0005231020080061


 English version:
Automation and Remote Control, 2020, 81:8, 1413–1430

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© Steklov Math. Inst. of RAS, 2026