Existence of Ψ Bounded Solutions for a Lyapunov Matrix Dierential Equation
| Mar 25, 2015
About this article
Published Online: Mar 25, 2015
Page range: 3 - 12
Received: Jan 14, 2014
Accepted: Dec 10, 2014
DOI: https://doi.org/10.2478/awutm-2014-0011
Keywords
© Annals of West University of Timisoara - Mathematics
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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.