%0 Journal Article
%T On $\Psi$-conditional asymptotic stability of first order nonlinear matrix Lyapunov system
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Suresh Kumar, G.
%A Appa Rao, B. V.
%A Murthy, M. S. N
%D 2013
%\ 06/01/2013
%V 4
%N 1
%P 7-20
%! On $\Psi$-conditional asymptotic stability of first order nonlinear matrix Lyapunov system
%K fundamental matrix
%K $\Psi$-bounded
%K $\Psi$-stable
%K $\Psi$-conditional asymptotic stable
%R 10.22075/ijnaa.2013.18
%X We provide necessary and sufficient conditions for psi-conditional asymptotic stability of the solution of a linear matrix Lyapunov system and sufficient conditions for psi -conditional asymptotic stability of the solution of a first order non-linear matrix Lyapunov system $X' = A(t)X + XB(t) + F(t,X)$.
%U https://ijnaa.semnan.ac.ir/article_18_4c9bc609cd9a09ed8f29da1c68df2bc4.pdf