Realization using the Roesser model for implementations in distributed grid sensor networks

Using the Roesser model, a method for distributed information processing in grid sensor networks is presented in. The method can be used to implement linear systems in grid sensor networks. Information originating in a node cannot be conveyed over the entire sensor network in a single time slot. Then for a system described by the Roesser model to be implementable in real-time on the sensor network, the system matrices of the Roesser model have to assume a particular form. A necessary and sufficient condition for the realizability of a proper transfer matrix in the constrained Roesser model is established in this paper. A realization algorithm to derive the Roesser model of the desired form, given an admissible transfer matrix, is also derived. The analogous problem for the realization of non-proper transfer matrices is also addressed.