Construction of the time-optimal bounded control for linear discrete-time systems based on the method of superellipsoidal approximation

DOI10.1134/s0005117923090035zbMath1530.93248MaRDI QIDQ6148278

V. M. Podgornaya, D. N. Ibragimov

Publication date: 11 January 2024

Published in: Automation and Remote Control (Search for Journal in Brave)

zbMATH Keywords

maximum principlelinear discrete-time systemsellipsoidal approximationssuperellipsespeed-in-action problem

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Algebraic methods (93B25) Existence theories for free problems in one independent variable (49J05)

Cites Work

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• On the problem of operation speed for the class of linear infinite-dimensional discrete-time systems with bounded control
• Stability of the optimal synthesis in the time-optimality problem
• On the optimal speed problem for the class of linear autonomous infinite-dimensional discrete-time systems with bounded control and degenerate operator
• The minimal time regulator problem for linear sampled-data systems: General theory
• On sufficient optimality conditions for a guaranteed control in the speed problem for a linear time-varying discrete-time system with bounded control
• Time-optimal control strategy for saturating linear discrete systems
• Ellipsoidal Techniques for Reachability Analysis of Discrete-Time Linear Systems
• Lamé Ovals
• About the method for constructing external estimates of the limit controllability set for the linear discrete-time system with bounded control

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