The Fornasini-Marchesini model — Its role in the analysis and control of physical systems

The variety of signals encountered in the representation of multidimensional systems means that, unlike standard linear time invariant systems, there are many state-space model structures that can be used to represent the dynamics. This paper considers the Fornasini-Marchesini state-space model introduced almost four decades ago, which has been the basis for the derivation of many systems theoretic properties for the multidimensional dynamics it can be used to represent. The purpose of this paper is to highlight more recent control applications areas where this model has been used.