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Anticipatory lD and 2D Linear Systems

p. 319-335

Abstract

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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References

Bibliographical reference

Tadeusz Kaczorek, « Anticipatory lD and 2D Linear Systems », CASYS, 8 | 2001, 319-335.

Electronic reference

Tadeusz Kaczorek, « Anticipatory lD and 2D Linear Systems », CASYS [Online], 8 | 2001, Online since 12 July 2024, connection on 15 July 2025. URL : http://popups.uliege.be/3041-539x/index.php?id=1457

Author

Tadeusz Kaczorek

Warsaw Technical University, Faculty of Electrical Engineering, Institute of Control and Industrial Electronics, 00-662 Warszawa, Koszykowa 75, Poland.

Copyright

CC BY-SA 4.0 Deed