Lyapunov transformation
From Encyclopedia of Mathematics
A non-degenerate linear transformation 
(or 
), smoothly depending on a parameter 
, that satisfies the condition
 |
It was introduced by A.M. Lyapunov in 1892 (see [1]). The Lyapunov transformation is widely used in the theory of linear systems of ordinary differential equations. In many cases the requirement
 |
can be discarded.
References
| [1] | A.M. Lyapunov, "Stability of motion" , Acad. Press (1966) (Translated from Russian) |
Comments
References
| [a1] | W. Hahn, "Stability of motion" , Springer (1967) pp. 422 |
How to Cite This Entry:
Lyapunov transformation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Lyapunov_transformation&oldid=47733
Lyapunov transformation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Lyapunov_transformation&oldid=47733
This article was adapted from an original article by V.M. Millionshchikov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article