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Controllability and inertia theory for functions of a matrix

✍ Scribed by David Carlson; Richard D Hill


Book ID
107800475
Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
314 KB
Volume
59
Category
Article
ISSN
0022-247X

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An inertia theorem for Lyapunov's equati
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A be an n X n complex matrix with inertia In(A) = (r(A), a(A), s(A)), and let H be an n x n hermitian matrix with inertia In(H) = (r(H), 6(H), 6(H)). Let K b e an n X n positive semidefinite matrix such that K = AH + HA\*. Suppose that 1 is the dimension of the controllability space of the pair (A,