Existence of Ψ Bounded Solutions for a Lyapunov Matrix Dierential Equation

It is proved a necessary and sufficient condition for the existence of at least one Ψ- bounded solution of a linear non- homogeneous Lyapunov matrix differential equation. In addition, it is given a result in connection with the asymptotic behavior of the Ψ- bounded solutions of this equation.

Bibliographic Details
Main Author: Diamandescu Aurel
Format: Article
Language:English
Published: Sciendo 2014-12-01
Series:Annals of the West University of Timisoara: Mathematics and Computer Science
Subjects:
Online Access:http://www.degruyter.com/view/j/awutm.2014.52.issue-2/awutm-2014-0011/awutm-2014-0011.xml?format=INT