On the method of numerical simulation of limit reachable sets for linear discrete-time systems with bounded control

Anastasiya Vyacheslavovna Simkina, D. N. Ibragimov, A. I. Kibzun

Publication date: 4 December 2024

Published in: Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie (Search for Journal in Brave)

zbMATH Keywords

convex set contraction mapping linear discrete-time system limit reachable set polyhedron estimation

Mathematics Subject Classification ID

Controllability (93B05)

Cites Work

On the construction of nonconvex approximations to reach sets of piecewise linear systems
Controllability properties and invariance pressure for linear discrete-time systems
On the optimal speed problem for the class of linear autonomous infinite-dimensional discrete-time systems with bounded control and degenerate operator
Optimal preview control for linear discrete-time periodic systems
Synthesis of stabilizing controllers with the use of observers based on linear matrix inequalities
On the properties of the limit control sets for a class of unstable linear systems with discrete time and \(l_1\)-restrictions
A Spectral Characterization of Controllability for Linear Discrete-Time Systems with Conic Constraints
The Geometry of the Reachability Set for Linear Discrete-time Systems with Positive Controls
Reachability and controllability of switched linear discrete-time systems
Convex Analysis
About the method for constructing external estimates of the limit controllability set for the linear discrete-time system with bounded control
On some properties of sets of bounded controllability for stationary linear discrete systems with total control constraints

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