TY - JOUR AU - Murty, M. S. N. AU - Kumar, G. Suresh PY - 2012 TI - \(\Psi\)-asymptotic stability of non-linear matrix Lyapunov systems JO - Journal of Nonlinear Sciences and Applications SP - 115--125 VL - 5 IS - 2 AB - In this paper, first we convert the non-linear matrix Lyapunov system into a Kronecker product matrix system with the help of Kronecker product of matrices. Then, we obtain sufficient conditions for \(\Psi\)-asymptotic stability and \(\Psi\)-uniform stability of the trivial solutions of the corresponding Kronecker product system. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.005.02.05 DO - 10.22436/jnsa.005.02.05 ID - Murty2012 ER -