G.Suresh Kumar, Asst.Prof, Dept of Mathematics has authored a Paper and was published in Journal of Nonlinear Science & Applications.
Abstract
In this paper, rst 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.c 2012 NGA. All rights reserved.
Keywords: Matrix Lyapunov system, Kronecker product, Fundamental matrix, -asymptotic stability, Psi-(uniform) stability.2010 MSC: Primary 34D05; Secondary 49K15, 34C11.