Open AccessExistence of Ψ Bounded Solutions for a Lyapunov Matrix Dierential Equation
Author(s) -
Aurel Diamandescu
Publication year - 2014
Publication title -
annals of west university of timisoara - mathematics and computer science
Language(s) - English
Resource type - Journals
eISSN - 1841-3307
pISSN - 1841-3293
DOI - 10.2478/awutm-2014-0011
Subject(s) - bounded function , mathematics , connection (principal bundle) , homogeneous , lyapunov function , lyapunov equation , matrix (chemical analysis) , mathematical analysis , homogeneous differential equation , matrix differential equation , differential equation , nonlinear system , ordinary differential equation , physics , combinatorics , differential algebraic equation , materials science , geometry , quantum mechanics , composite material
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
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