Title of article :
Ψ-asymptotic stability of non-linear matrix Lyapunov systems
Author/Authors :
Murty ، M. S. N. - Acharya Nagarjuna University, Nuzvid Campus , Kumar ، G. Suresh - Koneru Lakshmaiah University
Abstract :
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 Ψ-asymptotic stability and Ψ-uniform stability of the trivial solutions of the corresponding Kronecker product system.
Keywords :
Matrix Lyapunov system , Kronecker product , Fundamental matrix , Ψ , asymptotic stability , Ψ , (uniform) stability.
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
