Anticipatory lD and 2D Linear Systems
p. 319-335
Résumé
Notions of anticipaton systems for discrete-time and continuous-time lD linear systems and 2D discrete linear systems are introduced. A discrete-time system is called anticipatory if its state vector and output vector depend on the future values of inputs. A continuous-time system is called anticipatory if its state vector and output vector depend on the derivatives of inputs. Necessary and sufficient conditions for the anticipation of singular discrete-time and coutinuous-time l-D linear systems are established. It is shown that the discrete-time system obtained by discretization from continuous-time one is anticipatory for any value of the discretization step if and only if the continuous-time system is anticipatory. Necessary and sufficient conditions for the anticipation of the singular 2D Fornasini - Marchesini model and the singular 2D Roesser model are established.
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Référence papier
Tadeusz Kaczorek, « Anticipatory lD and 2D Linear Systems », CASYS, 8 | 2001, 319-335.
Référence électronique
Tadeusz Kaczorek, « Anticipatory lD and 2D Linear Systems », CASYS [En ligne], 8 | 2001, mis en ligne le 12 July 2024, consulté le 20 September 2024. URL : http://popups.lib.uliege.be/1373-5411/index.php?id=1457
Auteur
Tadeusz Kaczorek
Warsaw Technical University, Faculty of Electrical Engineering, Institute of Control and Industrial Electronics, 00-662 Warszawa, Koszykowa 75, Poland.