Note on the Characteristic Polynomial Assignment Problem for 2-D Systems
In this paper, the problem of the characteristic polynomial assignment (CPA) for linear shift invariant single-input single-output (SISO) two-dimensional (2-D) systems is considered. Specifically, it is shown that the use of the Fornasini-Marchesini canonical state space model representation facilitates the determination of a feedback control law for assigning a 2-D characteristic polynomial, and always results in a solution to the CPA problem. As for the proof, the well known Bass-Gura method is used. The simplicity and efficiency of the method is illustrated by several examples.
MSU Digital Commons Citation
Antoniou, George and Mentzelopoulou, Sophia E., "Note on the Characteristic Polynomial Assignment Problem for 2-D Systems" (1994). Department of Computer Science Faculty Scholarship and Creative Works. 429.