Small-time reachable sets of linear systems with integral control constraints: birth of the shape of a reachable set

DOI10.1007/s10957-015-0754-4zbMath1333.93045OpenAlexW230685300MaRDI QIDQ274103

Alexander Ovseevich, E. V. Goncharova

Publication date: 22 April 2016

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-015-0754-4

zbMATH Keywords

linear control systemsreachable setsshapes of convex bodies

Mathematics Subject Classification ID

Controllability (93B05) Attainable sets, reachability (93B03) Asymptotic theory of convex bodies (52A23)

Related Items (6)

On the convexity of the reachable set with respect to a part of coordinates at small time intervals ⋮ On reachable sets for positive linear systems under constrained exogenous inputs ⋮ Asymptotics of reachable sets of linear dynamical systems with impulsive control ⋮ Approximate solution of small-time control synthesis problem based on linearization ⋮ THE LIMITS OF APPLICABILITY OF THE LINEARIZATION METHOD IN CALCULATING SMALL–TIME REACHABLE SETS ⋮ Asymptotic Behaviour of Controllability Gramians and Convexity of Small-Time Reachable Sets

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