]>
2012
5
2
ISSN 2008-1898
86
\(\Psi\)-asymptotic stability of non-linear matrix Lyapunov systems
\(\Psi\)-asymptotic stability of non-linear matrix Lyapunov systems
en
en
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.
115
125
M. S. N.
Murty
Department of Applied Mathematics
Acharya Nagarjuna University-Nuzvid Campus
India
drmsn2002@gmail.com
G. Suresh
Kumar
Department of Mathematics
Koneru Lakshmaiah University
India
drgsk006@kluniversity.in
Matrix Lyapunov system
Kronecker product
Fundamental matrix
\(\Psi\)-asymptotic stability
\(\Psi\)-(uniform) stability.
Article.5.pdf
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