On a multidimensional S -transform and the realization problem for homogeneous nonlinear systems
Glenn Mitzel, Wilson J. Rugh · IEEE Transactions on Automatic Control · 1977
A multidimensionalS-transform, related to the multidimensional Laplace transform, is defined in an algebraic fashion. Some properties of this transform with regard to nonlinear system representation are discussed. In particular theS-transform representation leads to a solution of a realization problem for stationary, homogeneous, degreennonlinear systems. For ease of exposition the results are presented for the two-dimensional case only.