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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 8, Pages 1400–1414 (Mi zvmmf9705)  
This article is cited in 21 scientific papers (total in 21 papers)

Sufficient conditions for the controllability of nonlinear distributed systems

A. V. Chernov

Nizhnii Novgorod State University, pr. Gagarina 23, Nizhni Novgorod, 603950 Russia
Full-text PDF (1184 kB) Citations (21)
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Abstract: For nonlinear distributed systems representable as a Volterra functional operator equation in a Lebesgue space, sufficient conditions for pointwise controllability with respect to a vector of non-linear functionals are proved. The controls are assumed to be piecewise constant vector functions. The reduction of controlled distributed systems to the functional operator equation under study is illustrated by two examples: a Dirichlet boundary value problem for the diffusion equation and a mixed problem for the transport equation.
Key words: controllability of nonlinear distributed systems, piecewise constant control, Volterra functional operator equation.
Received: 05.12.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 8, Pages 1115–1127
DOI: https://doi.org/10.1134/S0965542512050053
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. V. Chernov, “Sufficient conditions for the controllability of nonlinear distributed systems”, Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012), 1400–1414; Comput. Math. Math. Phys., 52:8 (2012), 1115–1127
Citation in format AMSBIB
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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