Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/103153
Title: Positional impulse and discontinuous controls for differential inclusion
Authors: Finogenko, I. A.
Sesekin, A. N.
Issue Date: 2020
Publisher: Krasovskii Institute of Mathematics and Mechanics
Citation: Finogenko I. A. Positional impulse and discontinuous controls for differential inclusion / I. A. Finogenko, A. N. Sesekin. — DOI 10.15826/UMJ.2020.2.007 // Ural Mathematical Journal. — 2020. — Vol. 6. — Iss. 2. — P. 68-75.
Abstract: Nonlinear control systems presented in the form of differential inclusions with impulse or dis- continuous positional controls are investigated. The formalization of the impulse-sliding regime is carried out. In terms of the jump function of the impulse control, the differential inclusion is written for the ideal impulse- sliding regime. The method of equivalent control for differential inclusion with discontinuous positional controls is used to solve the question of the existence of a discontinuous system for which the ideal impulse-sliding regime is the usual sliding regime. The possibility of the combined use of the impulse-sliding and sliding regimes as control actions in those situations when there are not enough control resources for the latter is discussed. © 2020, Krasovskii Institute of Mathematics and Mechanics. All rights reserved.
Keywords: DIFFERENTIAL INCLUSION
DISCONTINUOUS POSITION CONTROL
IMPULSE POSITION CONTROL
IMPULSE-SLIDING REGIME
SLIDING REGIME
URI: http://hdl.handle.net/10995/103153
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85099594077
PURE ID: 20513031
87dbffcb-86f4-4aa1-b5b8-f0d5478d900f
ISSN: 24143952
DOI: 10.15826/UMJ.2020.2.007
metadata.dc.description.sponsorship: This work was supported by Russian Foundation for Basic Research (project No. 19-01-00371)
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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