Observability and identifiability of the states of the two-parameter discrete system over a commutative ring

Consideration was given to a class of two-parameter discrete systems defined over a commutative ring with identity. An observability criterion was established, and an operation restoring uniquely the initial function from the known output sequence was specified at that. An algorithm to construct the identifier determining the states in a finite number of steps was proposed.

Presented by the member of Editorial Board: A. P. Kurdyukov