Limit behavior of reachable sets of linear time-invariant systems with integral bounds on control

DOI10.1007/S10957-012-0198-ZzbMath1267.93014OpenAlexW2151871762MaRDI QIDQ353186

Alexander Ovseevich, E. V. Goncharova

Publication date: 12 July 2013

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

Full work available at URL: https://doi.org/10.1007/s10957-012-0198-z

zbMATH Keywords

linear control systemsasymptotic formulasreachable setsshapes of convex bodieslimit behavior

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (2)

Small-time reachable sets of linear systems with integral control constraints: birth of the shape of a reachable set ⋮ Algorithm of uniform filling of nonlinear dynamic system reachable set based on maximin problem solution

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotics of reachable sets of linear dynamical systems with impulsive control
• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• Asymptotic behavior of the attainable sets of linear periodic control systems
• Some applications of means of convex bodies
• Asymptotics for Shapes of Singularly Perturbed Reachable Sets
• Singular Perturbation in Mayer’s Problem for Linear Systems
• The generalized joint spectral radius. A geometric approach

This page was built for publication: Limit behavior of reachable sets of linear time-invariant systems with integral bounds on control