On estimating the degree of nonconvexity of reachable sets of control systems

DOI10.1134/S0081543821050199zbMath1482.93070OpenAlexW4205373977MaRDI QIDQ2071569

V. N. Ushakov, A. A. Ershov, A. R. Matviichuk

Publication date: 28 January 2022

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

Full work available at URL: https://doi.org/10.1134/s0081543821050199

zbMATH Keywords

control systemreachable setweakly convex setgeneralized convex set\( \alpha \)-set

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Attainable sets, reachability (93B03)

Related Items (1)

COMBINED ALGORITHMS FOR CONSTRUCTING A SOLUTION TO THE TIME–OPTIMAL PROBLEM IN THREE-DIMENSIONAL SPACE BASED ON THE SELECTION OF EXTREME POINTS OF THE SCATTERING SURFACE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Jung's theorem and \(H\)-convexity
• Functionally paraconvex sets
• Estimation of the growth of the degree of nonconvexity of reachable sets in terms of \(\alpha\)-sets
• Paraconvex Sets.
• Alpha-sets in finite dimensional Euclidean spaces and their properties
• Paraconvex functions and paraconvex sets

This page was built for publication: On estimating the degree of nonconvexity of reachable sets of control systems