Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 5, Pages 30–36 (Mi vmumm177)  
This article is cited in 5 scientific papers (total in 5 papers)

Mechanics

Perturbed stable systems on a plane. I

V. V. Aleksandrova, O. V. Aleksandrovaa, I. S. Konovalenkob, K. V. Tikhonovac

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Benemérita Universidad Autónoma de Puebla, Mexico
c Institute of Complex Systems Mathematical Research, Lomonosov Moscow State University
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Abstract: The possibility of extending the concept of rough dynamical systems in the presence of the permanent perturbation defined up to a functional set in the space of piecewise continuous functions is considered. The constructability of extension is achieved by the construction of limit cycles giving an estimate of the attainability set for oscillating systems.
Key words: perturbed stable system, robust stability, attractor, limit cycle.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00683
Russian Science Foundation 14-50-00029
Received: 17.02.2016
English version:
Moscow University Mechanics Bulletin, 2016, Volume 71, Issue 5, Pages 108–113
DOI: https://doi.org/10.3103/S0027133016050022
Bibliographic databases:
Document Type: Article
UDC: 531.396
Language: Russian
Citation: V. V. Aleksandrov, O. V. Aleksandrova, I. S. Konovalenko, K. V. Tikhonova, “Perturbed stable systems on a plane. I”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 5, 30–36; Moscow University Mechanics Bulletin, 71:5 (2016), 108–113
Citation in format AMSBIB
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