Laplace and Z transforms of linear dynamical systems and conic sections
RIS ID
107170
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.
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.