Algorithm of quasiuniform filling of reachable set for nonlinear control system

zbMath1364.93336MaRDI QIDQ2628571

Alexander Yu. Gornov, Evgeniya A. Finkelstein

Publication date: 2 June 2017

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://isu.ru/journal/downloadArticle?article=_cb015000de2b41589080695552625fc3&lang=rus

zbMATH Keywords

approximation algorithmoptimal control problemreachable set

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Attainable sets, reachability (93B03)

Related Items (1)

Construction of reachable sets of controlled systems with second order of accuracy with respect to time step

Cites Work

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• The method of uniform monotonous approximation of the reachable set border for a controllable system
• Approximation of reachable sets using optimal control algorithms
• Differential equation for nonconvex attainment sets
• Approximation of completely bounded sets by the deep holes method.
• A theorem of existence of an optimal control for the Goursat-Darboux problem without convexity assumptions
• A numerical method for constructing sets of attainability for linear controlled systems with phase constraints

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