A 2-D system can be considered a 1-D system over a ring. This identification can be used for the construction of a local state space realization. By constructing a canonical (i.e. reachable and observable) realization of the 1-D system, associated with the 2-D system, it is shown that this so called first level realization can be used in order to construct an internally stable local state space model for almost any BIBO stable 2-D system.
|Title of host publication||Signal processing: theories and applications|
|Editors||M. Kunt, F. Coulon, de|
|Place of Publication||Amsterdam|
|Publisher||North-Holland Publishing Company|
|Publication status||Published - 1980|