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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 9, Pages 70–74 (Mi ivm8830)  
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Control of functional differential system in conditions of impulse disturbances

V. P. Maksimov

Chair of Information Systems and Mathematical Methods in Economics, Perm State University, 15 Bukirev str., Perm, 614990 Russia
Full-text PDF (181 kB) Citations (2)
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Abstract: We consider a control problem for linear functional differential system with time delay of the general form. The purpose of controlling is prescribed with use of a finite set of linear functionals. The number of these functionals is independent of the dimension of the system. The system is acting under impulse disturbances which result in trajectory jumps with unknown previously instants of time and values. To solve the control problem, we propose a construction of control actions that contains both program and jumps-positional components. Conditions for the solvability of the stated control problem are formulated.
Keywords: functional differential equations, impulse systems, control problems.
Received: 27.02.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 9, Pages 58–61
DOI: https://doi.org/10.3103/S1066369X13090090
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: V. P. Maksimov, “Control of functional differential system in conditions of impulse disturbances”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 9, 70–74; Russian Math. (Iz. VUZ), 57:9 (2013), 58–61
Citation in format AMSBIB
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\by V.~P.~Maksimov
\paper Control of functional differential system in conditions of impulse disturbances
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 9
\pages 70--74
\mathnet{http://mi.mathnet.ru/ivm8830}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 9
\pages 58--61
\crossref{https://doi.org/10.3103/S1066369X13090090}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84894113414}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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