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 $X' = A(t)X + XB(t) + F(t,X)$.
Suresh Kumar,G , Appa Rao,B V and Murthy,M S N . (2013). On $\Psi$-conditional asymptotic stability of first order nonlinear matrix Lyapunov system. International Journal of Nonlinear Analysis and Applications, 4(1), 7-20. doi: 10.22075/ijnaa.2013.18
MLA
Suresh Kumar,G , , Appa Rao,B V , and Murthy,M S N . "On $\Psi$-conditional asymptotic stability of first order nonlinear matrix Lyapunov system", International Journal of Nonlinear Analysis and Applications, 4, 1, 2013, 7-20. doi: 10.22075/ijnaa.2013.18
HARVARD
Suresh Kumar G, Appa Rao B V, Murthy M S N. (2013). 'On $\Psi$-conditional asymptotic stability of first order nonlinear matrix Lyapunov system', International Journal of Nonlinear Analysis and Applications, 4(1), pp. 7-20. doi: 10.22075/ijnaa.2013.18
CHICAGO
G Suresh Kumar, B V Appa Rao and M S N Murthy, "On $\Psi$-conditional asymptotic stability of first order nonlinear matrix Lyapunov system," International Journal of Nonlinear Analysis and Applications, 4 1 (2013): 7-20, doi: 10.22075/ijnaa.2013.18
VANCOUVER
Suresh Kumar G, Appa Rao B V, Murthy M S N. On $\Psi$-conditional asymptotic stability of first order nonlinear matrix Lyapunov system. IJNAA. 2013;4(1):7-20. doi: 10.22075/ijnaa.2013.18
International Journal of Nonlinear Analysis and Applications