Aurel Diamandescu NOTE ON THE EXISTENCE OF A Ψ-BOUNDED SOLUTION FOR A LYAPUNOV MATRIX DIFFERENTIAL EQUATION
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چکیده
In this paper, we give a necessary and sufficient condition for the existence of at least one Ψ-bounded solution of a linear nonhomogeneous Lyapunov matrix differential equation. In addition, we give a result in connection with the asymptotic behavior of the Ψ-bounded solutions of this equation.
منابع مشابه
A Note on Ψ-bounded Solutions for Non-homogeneous Matrix Difference Equations (communicated by Agacik Zafer)
This paper deals with obtaing necessary and sufficient conditions for the existence of at least one Ψ-bounded solution for the non-homogeneous matrix difference equation X(n+1) = A(n)X(n)B(n)+F (n), where F (n) is a Ψ-bounded matrix valued function on Z+. Finally, we prove a result relating to the asymptotic behavior of the Ψ-bounded solutions of this equation on Z+.
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