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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 11, Pages 1843–1854 (Mi zvmmf219)  
This article is cited in 8 scientific papers (total in 8 papers)

Numerical method for solving a nonlinear time-optimal control problem with additive control

G. V. Shevchenko

Institute of Mathematics, Siberian Division, Russian Academy of Sciences, pr. Koptyuga 4, Novosibirsk, 630090, Russia
Full-text PDF (1519 kB) Citations (8)
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Abstract: Nonlinear systems whose right-hand sides are divided by the state and control and are linear in control are considered. An iterative method is proposed for solving time-optimal control problems for such systems. The method is based on constructing finite sequences of adjacent simplexes with their vertices lying on the boundaries of reachability sets. For a controllable system, it is proved that the minimizing sequence converges to an $\varepsilon$-optimal solution in a finite number of iterations.
Key words: nonlinear time-optimal control problem, numerical solution method.
Received: 26.04.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 11, Pages 1768–1778
DOI: https://doi.org/10.1134/S0965542507110048
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: G. V. Shevchenko, “Numerical method for solving a nonlinear time-optimal control problem with additive control”, Zh. Vychisl. Mat. Mat. Fiz., 47:11 (2007), 1843–1854; Comput. Math. Math. Phys., 47:11 (2007), 1768–1778
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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