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- W1973642610 abstract "A Lyapunov transformation is a linear transformation on the set H n of hermitian matrices H ϵ C n,n of the form L A ( H ) = A ∗ H + HA , where A ϵ C n,n . Given a positive stable A ϵ C n,n , the Stein-Pfeffer Theorem characterizes those K ϵ H n for which K = L B ( H ), where B is similar to A and H is positive definite. We give a new proof of this result, and extend it in several directions. The proofs involve the idea of a controllability subspace, employed previously in this context by Snyders and Zakai." @default.
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- W1973642610 date "1974-06-01" @default.
- W1973642610 modified "2023-09-28" @default.
- W1973642610 title "On ranges of Lyapunov transformations" @default.
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- W1973642610 doi "https://doi.org/10.1016/0024-3795(74)90069-x" @default.
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