On the Properties of the Limit Control Sets for a Class of Unstable Linear Systems with Discrete Time andl1-Restrictions

The construction of attainability and controllability sets for linear systems with discrete time and a total constraint on scalar control in the sense of l 1 -norm is discussed. For classes of linear systems that are not completely controllable and not completely attainable, the limit sets of contro...

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Veröffentlicht in:Journal of computer & systems sciences international 2022, Vol.61 (4), p.467-484
Hauptverfasser: Ibragimov, D. N., Osokin, A. V., Sirotin, A. N., Sypalo, K. I.
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container_start_page 467
container_title Journal of computer & systems sciences international
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creator Ibragimov, D. N.
Osokin, A. V.
Sirotin, A. N.
Sypalo, K. I.
description The construction of attainability and controllability sets for linear systems with discrete time and a total constraint on scalar control in the sense of l 1 -norm is discussed. For classes of linear systems that are not completely controllable and not completely attainable, the limit sets of controllability and attainability are explicitly constructed, respectively. Examples are given.
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subjects Control
Controllability
Discrete time systems
Engineering
Linear systems
Mechatronics
Robotics
System Theory and General Control Theory
title On the Properties of the Limit Control Sets for a Class of Unstable Linear Systems with Discrete Time andl1-Restrictions
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