Localization of the spectrum and representation of solutions of linear dynamical systems

  • A. G. Mazko

Abstract

We develop a general method for the localization of eigenvalues of matrix polynomials and functions based on the solution of matrix equations. For a broad class of equations, we formulate theorems that generalize the known properties of the Lyapunov equation. A new method for the representation of solutions of linear differential and difference systems is proposed.
Published
25.10.1998
How to Cite
MazkoA. G. “Localization of the Spectrum and Representation of Solutions of Linear Dynamical Systems”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 10, Oct. 1998, pp. 1341–1351, https://umj.imath.kiev.ua/index.php/umj/article/view/4820.
Section
Research articles