2017, Vol. 2, Issue 5, Part A
The general Liapounov theorem for some degenerate differential systems
Author(s): M Benabdallah and M Hariri
Abstract: The aim of this article is to generalize the famous Liapounov Equation:
VT +
T*
V = -2
S related to the stationary system :
x'(
t) =
Tx(
t), to the general equation
A*
WB +
B*
WA = -2
S, where
S,
V,
W and are uniformly positive operators, using the spectral theory of the pencil of operators
A-B corresponding to the degenerate differential system :
Ax'(t) = Bx(t), t>0,
where A and B are bounded operators in a Hilbert space.
Pages: 41-45 | Views: 1366 | Downloads: 22Download Full Article: Click Here
How to cite this article:
M Benabdallah, M Hariri. The general Liapounov theorem for some degenerate differential systems. Int J Stat Appl Math 2017;2(5):41-45.
