On two-sided approximations of reachable sets of control systems with geometric constraints on the controls

DOI10.1134/S0081543821030226zbMath1470.93017OpenAlexW3186995852WikidataQ114075157 ScholiaQ114075157MaRDI QIDQ2043639

M. V. Pershakov, V. N. Ushakov

Publication date: 3 August 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543821030226

zbMATH Keywords

controlgeometric constraintsdifferential inclusionapproximationcontrol systemreachable set

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Geometric methods (93B27) Attainable sets, reachability (93B03)

Cites Work

• On solving approach problems for control systems
• Two-sided estimates on the attainability domains of controlled systems
• Ellipsoidal techniques for dynamic systems: Control synthesis for uncertain systems
• New external estimate for the reachable set of a nonlinear multistep dynamic system
• On the boundedness of outer polyhedral estimates for reachable sets of linear systems
• LINEAR DIFFERENTIAL GAMES OF PURSUIT
• On the Time-Discretization of Control Systems
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