Laplace and Z transforms of linear dynamical systems and conic sections

Authors

Marianito R. Rodrigo, University of WollongongFollow

RIS ID

107170

Publication Details

Rodrigo, M. R. (2016). Laplace and Z transforms of linear dynamical systems and conic sections. Zeitschrift fur Angewandte Mathematik und Physik, 67 (3), 57-1-57-14.

Abstract

We consider the solution trajectories of linear continuous and discrete dynamical systems and show that in the Laplace and Z transform spaces, respectively, they lie on the intersections of hypersurfaces described by second-degree polynomial equations. In particular, in two dimensions, these intersections are conic sections whose types are determined by the eigenvalues of the coefficient matrices.