On the geometric properties of reachable and controllable sets for linear discrete systems

DOI10.1023/B:JOTA.0000042521.51456.01zbMath1092.93031OpenAlexW2134389685MaRDI QIDQ702370

A. N. Sirotin, Alexander M. Formalskii

Publication date: 17 January 2005

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

Full work available at URL: https://doi.org/10.1023/b:jota.0000042521.51456.01

zbMATH Keywords

controllabilitylinear discrete systemsconstrained controlsReachability

Mathematics Subject Classification ID

Controllability (93B05) Discrete-time control/observation systems (93C55) Attainable sets, reachability (93B03)

Related Items (3)

On the properties of the limit control sets for a class of unstable linear systems with discrete time and \(l_1\)-restrictions ⋮ Singularities of attainability domains with a pulse-limited control action ⋮ Time dependence of the attainability regions of third order systems

Cites Work

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• Estimating reachable sets for two-dimensional linear discrete systems
• The minimal time regulator problem for linear sampled-data systems: General theory
• On a lower estimate of the set of null controllability for linear stationary systems with discrete time and constrained control
• Convex Analysis

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