Partial interconnection dead-beat control of two-dimensional behaviors

In this paper the dead-beat control problem, by partial interconnection, of two-dimensional discrete behaviors, defined on the grid Z_+x Z and having the time as (first) independent variable, is investigated. It turns out that the possibility of driving to zero (in a finite number of \u201csteps\u201d) the \u201crelevant variables\u201d by means of a partial interconnection controller, making use of the \u201cmeasurable variables\u201d, is equivalent to the reconstructibility of the relevant variables, that are not accessible for control. On the other hand, if we search for \u201cadmissible\u201d dead-beat controllers, the only ones that provide meaningful results in practice, an additional condition has to be introduced: the zero-time-controllability of the relevant variables