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Matematicheskie Zametki, 2013, Volume 94, Issue 4, Pages 600–619
DOI: https://doi.org/10.4213/mzm9372 (Mi mzm9372) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Approximation Methods in Optimal Control Problems for Nonlinear Infinite-Dimensional Systems

S. Ya. Serovaĭskiĭ

Al-Farabi Kazakh National University
Full-text PDF (580 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm9372
Abstract: Some notions related to approximate solutions and to the approximation of extremum problems for nonlinear infinite-dimensional systems are proposed. Optimization problems for nonlinear parabolic equations with a fixed terminal state and on an infinite time interval, as well as for singular stationary systems with phase constraints, are illustrated by several examples.
Keywords: optimization problem, nonlinear parabolic equation, approximate solution, phase constraint, fixed terminal state.
Received: 10.01.2012
Revised: 21.12.2012
English version:
Mathematical Notes, 2013, Volume 94, Issue 4, Pages 567–582
DOI: https://doi.org/10.1134/S0001434613090277
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: S. Ya. Serovaǐskiǐ, “Approximation Methods in Optimal Control Problems for Nonlinear Infinite-Dimensional Systems”, Mat. Zametki, 94:4 (2013), 600–619; Math. Notes, 94:4 (2013), 567–582
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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