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. & 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. https://doi.org/10.22075/ijnaa.2013.18
MLA
Suresh Kumar, G., Appa Rao, B. V., & 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
Suresh Kumar, G., Appa Rao, B. V. & 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
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