Title :
On the evaluation of the controllability and observability gramians of 2-D digital filters
Author :
Lu, W.-S. ; Wang, H.-P. ; Antoniou, A.
Author_Institution :
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
Abstract :
An efficient and general method for the evaluation of the gramians of causal, stable, 2-D recursive digital filters and systems is proposed. The method is based on a two-stage extension of the Astrom-Jury-Agniel algorithm. The results obtained show that the new method leads to an accurate evaluation of the 2-D gramians and that it requires only a small fraction of the computation required by previous methods
Keywords :
controllability; observability; two-dimensional digital filters; 2D digital filters; Astrom-Jury-Agniel algorithm; computation; controllability gramians; observability gramians; recursive digital filters; two-stage extension; Control theory; Controllability; Convergence; Digital filters; Equations; Observability; Random processes; Stability; Transfer functions; Two dimensional displays;
Conference_Titel :
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN :
0-7803-0050-5
DOI :
10.1109/ISCAS.1991.176001
