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.
Format:	Artikel
Sprache:	eng
Schlagworte:	Control Controllability Discrete time systems Engineering Linear systems Mechatronics Robotics System Theory and General Control Theory
Online-Zugang:	Volltext
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Zusammenfassung:	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.
ISSN:	1064-2307 1555-6530
DOI:	10.1134/S1064230722040104