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Laplace and Z transforms of linear dynamical systems and conic sections

Journal Article


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 Date


  • 2016

Citation


  • 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.

Scopus Eid


  • 2-s2.0-84965182834

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5714

Start Page


  • 57-1

End Page


  • 57-14

Volume


  • 67

Issue


  • 3

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 Date


  • 2016

Citation


  • 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.

Scopus Eid


  • 2-s2.0-84965182834

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5714

Start Page


  • 57-1

End Page


  • 57-14

Volume


  • 67

Issue


  • 3