International Journal of Statistics and Applied Mathematics
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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 = -2S related to the stationary system : x'(t) = Tx(t), to the general equation A*WB + B*WA = -2S, 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: 1204 | Downloads: 22

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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.
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